%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC024-1 : 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 : n017.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 16:13:37 EDT 2024
% Result : Unsatisfiable 121.15s 121.18s
% Output : CNFRefutation 121.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC024-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 04:53:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.48/0.58 start to proof:theBenchmark
% 121.15/121.17 %-------------------------------------------
% 121.15/121.17 % File :CSE---1.7
% 121.15/121.17 % Problem :theBenchmark
% 121.15/121.17 % Transform :cnf
% 121.15/121.17 % Format :tptp:raw
% 121.15/121.17 % Command :java -jar mcs_scs.jar %d %s
% 121.15/121.17
% 121.15/121.17 % Result :Theorem 120.440000s
% 121.15/121.17 % Output :CNFRefutation 120.440000s
% 121.15/121.17 %-------------------------------------------
% 121.15/121.18 %--------------------------------------------------------------------------
% 121.15/121.18 % File : SWC024-1 : TPTP v8.2.0. Released v2.4.0.
% 121.15/121.18 % Domain : Software Creation
% 121.15/121.18 % Problem : cond_id_front_x_run_eq_front2
% 121.15/121.18 % Version : [Wei00] axioms.
% 121.15/121.18 % English : Find components in a software library that match a given target
% 121.15/121.18 % specification given in first-order logic. The components are
% 121.15/121.18 % specified in first-order logic as well. The problem represents
% 121.15/121.18 % a test of one library module specification against a target
% 121.15/121.18 % specification.
% 121.15/121.18
% 121.15/121.18 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 121.15/121.18 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 121.15/121.18 % Source : [TPTP]
% 121.15/121.18 % Names :
% 121.15/121.18
% 121.15/121.18 % Status : Unsatisfiable
% 121.15/121.18 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.38 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.33 v2.4.0
% 121.15/121.18 % Syntax : Number of clauses : 198 ( 64 unt; 33 nHn; 155 RR)
% 121.15/121.18 % Number of literals : 625 ( 105 equ; 408 neg)
% 121.15/121.18 % Maximal clause size : 10 ( 3 avg)
% 121.15/121.18 % Maximal term depth : 5 ( 1 avg)
% 121.15/121.18 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 121.15/121.18 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 121.15/121.18 % Number of variables : 330 ( 49 sgn)
% 121.15/121.18 % SPC : CNF_UNS_RFO_SEQ_NHN
% 121.15/121.18
% 121.15/121.18 % Comments : Created by CNF conversion from SWC024+1
% 121.15/121.18 %--------------------------------------------------------------------------
% 121.15/121.18 %----Include list specification axioms
% 121.15/121.18 include('Axioms/SWC001-0.ax').
% 121.15/121.18 %--------------------------------------------------------------------------
% 121.15/121.18 cnf(co1_1,negated_conjecture,
% 121.15/121.18 ssList(sk1) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_2,negated_conjecture,
% 121.15/121.18 ssList(sk2) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_3,negated_conjecture,
% 121.15/121.18 ssList(sk3) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_4,negated_conjecture,
% 121.15/121.18 ssList(sk4) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_5,negated_conjecture,
% 121.15/121.18 sk2 = sk4 ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_6,negated_conjecture,
% 121.15/121.18 sk1 = sk3 ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_7,negated_conjecture,
% 121.15/121.18 neq(sk2,nil) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_8,negated_conjecture,
% 121.15/121.18 ( ~ ssList(A)
% 121.15/121.18 | ~ neq(A,nil)
% 121.15/121.18 | ~ frontsegP(sk2,A)
% 121.15/121.18 | ~ frontsegP(sk1,A) ) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_9,negated_conjecture,
% 121.15/121.18 ssList(sk5) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_10,negated_conjecture,
% 121.15/121.18 app(sk3,sk5) = sk4 ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_11,negated_conjecture,
% 121.15/121.18 equalelemsP(sk3) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_12,negated_conjecture,
% 121.15/121.18 ( ~ ssItem(A)
% 121.15/121.18 | ~ ssList(B)
% 121.15/121.18 | app(cons(A,nil),B) != sk5
% 121.15/121.18 | ~ ssList(C)
% 121.15/121.18 | app(C,cons(A,nil)) != sk3 ) ).
% 121.15/121.18
% 121.15/121.18 cnf(co1_13,negated_conjecture,
% 121.15/121.18 ( nil = sk4
% 121.15/121.18 | nil != sk3 ) ).
% 121.15/121.18
% 121.15/121.18 %--------------------------------------------------------------------------
% 121.15/121.18 %-------------------------------------------
% 121.15/121.18 % Proof found
% 121.15/121.18 % SZS status Theorem for theBenchmark
% 121.15/121.18 % SZS output start Proof
% 121.15/121.18 %ClaNum:283(EqnAxiom:85)
% 121.15/121.18 %VarNum:902(SingletonVarNum:326)
% 121.15/121.18 %MaxLitNum:10
% 121.15/121.18 %MaxfuncDepth:4
% 121.15/121.18 %SharedTerms:33
% 121.15/121.18 %goalClause: 86 87 89 97 98 99 100 101 140 141 150 233 265
% 121.15/121.18 %singleGoalClaCount:10
% 121.15/121.18 [86]E(a1,a2)
% 121.15/121.18 [87]E(a7,a8)
% 121.15/121.18 [88]P1(a3)
% 121.15/121.18 [89]P1(a1)
% 121.15/121.18 [90]P2(a3)
% 121.15/121.19 [91]P4(a3)
% 121.15/121.19 [92]P18(a3)
% 121.15/121.19 [93]P5(a3)
% 121.15/121.19 [94]P19(a3)
% 121.15/121.19 [95]P3(a3)
% 121.15/121.19 [96]P6(a3)
% 121.15/121.19 [97]P6(a2)
% 121.15/121.19 [98]P6(a7)
% 121.15/121.19 [99]P6(a1)
% 121.15/121.19 [100]P6(a8)
% 121.15/121.19 [101]P6(a9)
% 121.15/121.19 [102]P7(a10)
% 121.15/121.19 [103]P7(a11)
% 121.15/121.19 [141]P8(a7,a3)
% 121.15/121.19 [148]~E(a11,a10)
% 121.15/121.19 [149]~P15(a3)
% 121.15/121.19 [140]E(f4(a1,a9),a8)
% 121.15/121.19 [104]P6(f12(x1041))
% 121.15/121.19 [105]P6(f13(x1051))
% 121.15/121.19 [106]P6(f14(x1061))
% 121.15/121.19 [107]P6(f15(x1071))
% 121.15/121.19 [108]P6(f16(x1081))
% 121.15/121.19 [109]P6(f17(x1091))
% 121.15/121.19 [110]P6(f18(x1101))
% 121.15/121.19 [111]P6(f19(x1111))
% 121.15/121.19 [112]P6(f20(x1121))
% 121.15/121.19 [113]P6(f21(x1131))
% 121.15/121.19 [114]P6(f22(x1141))
% 121.15/121.19 [115]P6(f23(x1151))
% 121.15/121.19 [116]P6(f24(x1161))
% 121.15/121.19 [117]P6(f25(x1171))
% 121.15/121.19 [118]P6(f26(x1181))
% 121.15/121.19 [119]P6(f27(x1191))
% 121.15/121.19 [120]P6(f28(x1201))
% 121.15/121.19 [121]P6(f29(x1211))
% 121.15/121.19 [122]P6(f30(x1221))
% 121.15/121.19 [123]P6(f31(x1231))
% 121.15/121.19 [124]P6(f32(x1241))
% 121.15/121.19 [125]P7(f53(x1251))
% 121.15/121.19 [126]P7(f51(x1261))
% 121.15/121.19 [127]P7(f52(x1271))
% 121.15/121.19 [128]P7(f50(x1281))
% 121.15/121.19 [129]P7(f48(x1291))
% 121.15/121.19 [130]P7(f49(x1301))
% 121.15/121.19 [131]P7(f46(x1311))
% 121.15/121.19 [132]P7(f47(x1321))
% 121.15/121.19 [133]P7(f44(x1331))
% 121.15/121.19 [134]P7(f45(x1341))
% 121.15/121.19 [135]P7(f42(x1351))
% 121.15/121.19 [136]P7(f43(x1361))
% 121.15/121.19 [137]P7(f33(x1371))
% 121.15/121.19 [138]P7(f34(x1381))
% 121.15/121.19 [139]P7(f35(x1391))
% 121.15/121.19 [142]P6(f38(x1421,x1422))
% 121.15/121.19 [143]P6(f39(x1431,x1432))
% 121.15/121.19 [144]P6(f40(x1441,x1442))
% 121.15/121.19 [145]P6(f41(x1451,x1452))
% 121.15/121.19 [146]P6(f36(x1461,x1462))
% 121.15/121.19 [147]P6(f37(x1471,x1472))
% 121.15/121.19 [150]E(a3,a8)+~E(a1,a3)
% 121.15/121.19 [156]~P6(x1561)+P16(x1561,a3)
% 121.15/121.19 [157]~P6(x1571)+P17(x1571,a3)
% 121.15/121.19 [158]~P6(x1581)+P9(x1581,a3)
% 121.15/121.19 [161]~P7(x1611)+P10(x1611,x1611)
% 121.15/121.19 [162]~P6(x1621)+P16(x1621,x1621)
% 121.15/121.19 [163]~P6(x1631)+P17(x1631,x1631)
% 121.15/121.19 [164]~P6(x1641)+P9(x1641,x1641)
% 121.15/121.19 [165]~P7(x1651)+P11(x1651,x1651)
% 121.15/121.19 [170]~P7(x1701)+~P13(a3,x1701)
% 121.15/121.19 [174]~P14(x1741,x1741)+~P7(x1741)
% 121.15/121.19 [159]~P6(x1591)+E(f4(x1591,a3),x1591)
% 121.15/121.19 [160]~P6(x1601)+E(f4(a3,x1601),x1601)
% 121.15/121.19 [179]~P7(x1791)+P1(f6(x1791,a3))
% 121.15/121.19 [180]~P7(x1801)+P2(f6(x1801,a3))
% 121.15/121.19 [181]~P7(x1811)+P4(f6(x1811,a3))
% 121.15/121.19 [182]~P7(x1821)+P18(f6(x1821,a3))
% 121.15/121.19 [183]~P7(x1831)+P5(f6(x1831,a3))
% 121.15/121.19 [184]~P7(x1841)+P19(f6(x1841,a3))
% 121.15/121.19 [185]~P7(x1851)+P3(f6(x1851,a3))
% 121.15/121.19 [166]~P6(x1661)+~E(a3,x1661)+P16(a3,x1661)
% 121.15/121.19 [167]~P6(x1671)+~E(a3,x1671)+P17(a3,x1671)
% 121.15/121.19 [168]~P6(x1681)+~E(a3,x1681)+P9(a3,x1681)
% 121.15/121.19 [171]~P6(x1711)+~P16(a3,x1711)+E(a3,x1711)
% 121.15/121.19 [172]~P6(x1721)+~P17(a3,x1721)+E(a3,x1721)
% 121.15/121.19 [173]~P6(x1731)+~P9(a3,x1731)+E(a3,x1731)
% 121.15/121.19 [153]~P6(x1531)+E(a3,x1531)+P6(f54(x1531))
% 121.15/121.19 [155]~P6(x1551)+E(a3,x1551)+P7(f5(x1551))
% 121.15/121.19 [169]~P6(x1691)+P1(x1691)+~E(f52(x1691),f51(x1691))
% 121.15/121.19 [190]~P6(x1901)+P3(x1901)+P11(f33(x1901),f34(x1901))
% 121.15/121.19 [191]~P6(x1911)+P3(x1911)+P11(f34(x1911),f33(x1911))
% 121.15/121.19 [211]~P6(x2111)+P4(x2111)+~P14(f49(x2111),f48(x2111))
% 121.15/121.19 [212]~P6(x2121)+P18(x2121)+~P11(f47(x2121),f46(x2121))
% 121.15/121.19 [213]~P6(x2131)+P5(x2131)+~P14(f44(x2131),f45(x2131))
% 121.15/121.19 [214]~P6(x2141)+P5(x2141)+~P14(f45(x2141),f44(x2141))
% 121.15/121.19 [215]~P6(x2151)+P19(x2151)+~P11(f42(x2151),f43(x2151))
% 121.15/121.19 [216]~P6(x2161)+P19(x2161)+~P11(f43(x2161),f42(x2161))
% 121.15/121.19 [178]~P6(x1781)+~P15(x1781)+E(f6(f35(x1781),a3),x1781)
% 121.15/121.19 [186]~P6(x1861)+E(a3,x1861)+E(f6(f53(x1861),f12(x1861)),x1861)
% 121.15/121.19 [187]~P6(x1871)+E(a3,x1871)+E(f6(f5(x1871),f54(x1871)),x1871)
% 121.15/121.19 [272]P2(x2721)+~P6(x2721)+E(f4(f4(f17(x2721),f6(f50(x2721),f16(x2721))),f6(f50(x2721),f15(x2721))),x2721)
% 121.15/121.19 [273]P4(x2731)+~P6(x2731)+E(f4(f4(f20(x2731),f6(f49(x2731),f19(x2731))),f6(f48(x2731),f18(x2731))),x2731)
% 121.15/121.19 [274]P18(x2741)+~P6(x2741)+E(f4(f4(f23(x2741),f6(f47(x2741),f22(x2741))),f6(f46(x2741),f21(x2741))),x2741)
% 121.15/121.19 [275]P5(x2751)+~P6(x2751)+E(f4(f4(f26(x2751),f6(f45(x2751),f25(x2751))),f6(f44(x2751),f24(x2751))),x2751)
% 121.15/121.19 [276]P19(x2761)+~P6(x2761)+E(f4(f4(f29(x2761),f6(f43(x2761),f28(x2761))),f6(f42(x2761),f27(x2761))),x2761)
% 121.15/121.19 [277]P3(x2771)+~P6(x2771)+E(f4(f4(f32(x2771),f6(f34(x2771),f31(x2771))),f6(f33(x2771),f30(x2771))),x2771)
% 121.15/121.19 [270]P1(x2701)+~P6(x2701)+E(f4(f14(x2701),f6(f52(x2701),f6(f51(x2701),f13(x2701)))),x2701)
% 121.15/121.19 [151]~P6(x1511)+P2(x1511)+P7(x1512)
% 121.15/121.19 [188]~P6(x1882)+~P7(x1881)+~E(f6(x1881,x1882),a3)
% 121.15/121.19 [189]~P6(x1892)+~P7(x1891)+~E(f6(x1891,x1892),x1892)
% 121.15/121.19 [198]~P6(x1982)+~P7(x1981)+P6(f6(x1981,x1982))
% 121.15/121.19 [199]~P6(x1991)+~P6(x1992)+P6(f4(x1991,x1992))
% 121.15/121.19 [200]~P6(x2002)+~P7(x2001)+E(f54(f6(x2001,x2002)),x2002)
% 121.15/121.19 [201]~P6(x2012)+~P7(x2011)+E(f5(f6(x2011,x2012)),x2011)
% 121.15/121.19 [228]~P6(x2282)+~P7(x2281)+E(f4(f6(x2281,a3),x2282),f6(x2281,x2282))
% 121.20/121.19 [233]~P6(x2331)+~P8(x2331,a3)+~P9(a2,x2331)+~P9(a7,x2331)
% 121.20/121.19 [175]P8(x1752,x1751)+~P6(x1752)+~P6(x1751)+E(x1751,x1752)
% 121.20/121.19 [176]P8(x1762,x1761)+~P7(x1762)+~P7(x1761)+E(x1761,x1762)
% 121.20/121.19 [195]~P6(x1952)+~P6(x1951)+~P8(x1951,x1952)+~E(x1951,x1952)
% 121.20/121.19 [196]~P7(x1962)+~P7(x1961)+~P14(x1961,x1962)+~E(x1961,x1962)
% 121.20/121.19 [197]~P7(x1972)+~P7(x1971)+~P8(x1971,x1972)+~E(x1971,x1972)
% 121.20/121.19 [206]~P7(x2061)+~P7(x2062)+~P11(x2062,x2061)+P10(x2061,x2062)
% 121.20/121.19 [207]~P7(x2071)+~P7(x2072)+~P10(x2072,x2071)+P11(x2071,x2072)
% 121.20/121.19 [208]~P7(x2082)+~P7(x2081)+~P14(x2081,x2082)+P11(x2081,x2082)
% 121.20/121.19 [209]~P7(x2091)+~P7(x2092)+~P12(x2092,x2091)+P14(x2091,x2092)
% 121.20/121.19 [210]~P7(x2101)+~P7(x2102)+~P14(x2102,x2101)+P12(x2101,x2102)
% 121.20/121.19 [219]~P14(x2191,x2192)+~P14(x2192,x2191)+~P7(x2191)+~P7(x2192)
% 121.20/121.19 [220]~P12(x2201,x2202)+~P12(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 121.20/121.19 [192]~P6(x1921)+~P6(x1922)+E(a3,x1921)+~E(f4(x1922,x1921),a3)
% 121.20/121.19 [193]~P6(x1932)+~P6(x1931)+E(a3,x1931)+~E(f4(x1931,x1932),a3)
% 121.20/121.19 [194]~P6(x1941)+~P7(x1942)+P15(x1941)+~E(f6(x1942,a3),x1941)
% 121.20/121.19 [203]~P6(x2032)+~P7(x2031)+~E(a3,x2032)+P4(f6(x2031,x2032))
% 121.20/121.19 [204]~P6(x2042)+~P7(x2041)+~E(a3,x2042)+P18(f6(x2041,x2042))
% 121.20/121.19 [205]~P6(x2051)+~P6(x2052)+E(a3,x2051)+E(f5(f4(x2051,x2052)),f5(x2051))
% 121.20/121.19 [230]~P6(x2301)+~P6(x2302)+E(a3,x2301)+E(f54(f4(x2301,x2302)),f4(f54(x2301),x2302))
% 121.20/121.19 [238]~P6(x2381)+~P6(x2382)+~P9(x2382,x2381)+E(f4(x2381,f41(x2382,x2381)),x2382)
% 121.20/121.19 [239]~P6(x2392)+~P6(x2391)+~P17(x2391,x2392)+E(f4(f40(x2391,x2392),x2392),x2391)
% 121.20/121.19 [269]~P6(x2692)+~P6(x2691)+~P16(x2691,x2692)+E(f4(f4(f39(x2691,x2692),x2692),f38(x2692,x2691)),x2691)
% 121.20/121.19 [268]~P6(x2681)+~P7(x2682)+~P13(x2681,x2682)+E(f4(f37(x2681,x2682),f6(x2682,f36(x2682,x2681))),x2681)
% 121.20/121.19 [257]~P6(x2573)+~P6(x2572)+~P7(x2571)+E(f6(x2571,f4(x2572,x2573)),f4(f6(x2571,x2572),x2573))
% 121.20/121.19 [258]~P6(x2581)+~P6(x2582)+~P6(x2583)+E(f4(f4(x2581,x2582),x2583),f4(x2581,f4(x2582,x2583)))
% 121.20/121.19 [218]P14(x2181,x2182)+~P7(x2182)+~P7(x2181)+~P11(x2181,x2182)+E(x2181,x2182)
% 121.20/121.19 [223]~P6(x2232)+~P6(x2231)+~P16(x2232,x2231)+~P16(x2231,x2232)+E(x2231,x2232)
% 121.20/121.19 [224]~P6(x2242)+~P6(x2241)+~P17(x2242,x2241)+~P17(x2241,x2242)+E(x2241,x2242)
% 121.20/121.19 [225]~P6(x2252)+~P6(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 121.20/121.19 [226]~P7(x2262)+~P7(x2261)+~P10(x2262,x2261)+~P10(x2261,x2262)+E(x2261,x2262)
% 121.20/121.19 [227]~P7(x2272)+~P7(x2271)+~P11(x2272,x2271)+~P11(x2271,x2272)+E(x2271,x2272)
% 121.20/121.19 [177]~P6(x1772)+~P6(x1771)+~E(a3,x1772)+~E(a3,x1771)+E(f4(x1771,x1772),a3)
% 121.20/121.19 [234]P4(x2341)+~P6(x2341)+~P7(x2342)+E(a3,x2341)+~P4(f6(x2342,x2341))
% 121.20/121.19 [235]P18(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P18(f6(x2352,x2351))
% 121.20/121.19 [248]~P6(x2481)+~P7(x2482)+E(a3,x2481)+P11(x2482,f5(x2481))+~P18(f6(x2482,x2481))
% 121.20/121.19 [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P14(x2492,f5(x2491))+~P4(f6(x2492,x2491))
% 121.20/121.19 [221]~P6(x2211)+~P6(x2212)+~P6(x2213)+P17(x2211,x2212)+~E(f4(x2213,x2212),x2211)
% 121.20/121.19 [222]~P6(x2221)+~P6(x2223)+~P6(x2222)+P9(x2221,x2222)+~E(f4(x2222,x2223),x2221)
% 121.20/121.19 [229]~E(x2293,x2291)+~P6(x2292)+~P7(x2291)+~P7(x2293)+P13(f6(x2291,x2292),x2293)
% 121.20/121.19 [231]~P6(x2312)+~P6(x2311)+~P6(x2313)+E(x2311,x2312)+~E(f4(x2313,x2311),f4(x2313,x2312))
% 121.20/121.19 [232]~P6(x2322)+~P6(x2323)+~P6(x2321)+E(x2321,x2322)+~E(f4(x2321,x2323),f4(x2322,x2323))
% 121.20/121.19 [250]~P6(x2501)+~P6(x2503)+~P6(x2502)+~P17(x2502,x2503)+P17(f4(x2501,x2502),x2503)
% 121.20/121.19 [251]~P6(x2512)+~P6(x2513)+~P6(x2511)+~P9(x2511,x2513)+P9(f4(x2511,x2512),x2513)
% 121.20/121.19 [252]~P6(x2522)+~P7(x2521)+~P7(x2523)+~P13(x2522,x2523)+P13(f6(x2521,x2522),x2523)
% 121.20/121.19 [253]~P6(x2531)+~P6(x2532)+~P7(x2533)+~P13(x2532,x2533)+P13(f4(x2531,x2532),x2533)
% 121.20/121.19 [254]~P6(x2542)+~P6(x2541)+~P7(x2543)+~P13(x2541,x2543)+P13(f4(x2541,x2542),x2543)
% 121.20/121.19 [265]~P6(x2651)+~P6(x2653)+~P7(x2652)+~E(f4(f6(x2652,a3),x2653),a9)+~E(f4(x2651,f6(x2652,a3)),a1)
% 121.20/121.19 [255]~P4(x2551)+~P6(x2551)+~P7(x2552)+~P14(x2552,f5(x2551))+E(a3,x2551)+P4(f6(x2552,x2551))
% 121.20/121.19 [256]~P18(x2561)+~P6(x2561)+~P7(x2562)+~P11(x2562,f5(x2561))+E(a3,x2561)+P18(f6(x2562,x2561))
% 121.20/121.19 [240]~P7(x2402)+~P7(x2401)+~P10(x2403,x2402)+~P10(x2401,x2403)+P10(x2401,x2402)+~P7(x2403)
% 121.20/121.19 [241]~P6(x2412)+~P6(x2411)+~P16(x2413,x2412)+~P16(x2411,x2413)+P16(x2411,x2412)+~P6(x2413)
% 121.20/121.19 [242]~P6(x2422)+~P6(x2421)+~P17(x2423,x2422)+~P17(x2421,x2423)+P17(x2421,x2422)+~P6(x2423)
% 121.20/121.19 [243]~P6(x2432)+~P6(x2431)+~P9(x2433,x2432)+~P9(x2431,x2433)+P9(x2431,x2432)+~P6(x2433)
% 121.20/121.19 [244]~P7(x2442)+~P7(x2441)+~P11(x2443,x2442)+~P11(x2441,x2443)+P11(x2441,x2442)+~P7(x2443)
% 121.20/121.19 [245]~P7(x2452)+~P7(x2451)+~P11(x2451,x2453)+~P14(x2453,x2452)+P14(x2451,x2452)+~P7(x2453)
% 121.20/121.19 [246]~P7(x2462)+~P7(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P7(x2463)
% 121.20/121.19 [247]~P7(x2472)+~P7(x2471)+~P12(x2473,x2472)+~P12(x2471,x2473)+P12(x2471,x2472)+~P7(x2473)
% 121.20/121.19 [259]~P6(x2593)+~P7(x2592)+~P7(x2591)+E(x2591,x2592)+P13(x2593,x2592)+~P13(f6(x2591,x2593),x2592)
% 121.20/121.19 [262]~P6(x2621)+~P6(x2623)+~P7(x2622)+P13(x2621,x2622)+P13(x2623,x2622)+~P13(f4(x2623,x2621),x2622)
% 121.20/121.19 [236]~P6(x2362)+~P6(x2361)+~P7(x2364)+~P7(x2363)+E(x2361,x2362)+~E(f6(x2363,x2361),f6(x2364,x2362))
% 121.20/121.19 [237]~P6(x2374)+~P6(x2373)+~P7(x2372)+~P7(x2371)+E(x2371,x2372)+~E(f6(x2371,x2373),f6(x2372,x2374))
% 121.20/121.19 [264]~P7(x2642)+~P7(x2641)+E(x2641,x2642)+~P6(x2643)+~P6(x2644)+~P9(f6(x2641,x2644),f6(x2642,x2643))
% 121.20/121.19 [267]~P6(x2672)+~P6(x2671)+P9(x2671,x2672)+~P7(x2673)+~P7(x2674)+~P9(f6(x2674,x2671),f6(x2673,x2672))
% 121.20/121.19 [260]~P6(x2601)+~P6(x2604)+~P6(x2603)+~P7(x2602)+P13(x2601,x2602)+~E(f4(x2603,f6(x2602,x2604)),x2601)
% 121.20/121.19 [261]~P6(x2611)+~P6(x2614)+~P6(x2612)+~P6(x2613)+P16(x2611,x2612)+~E(f4(f4(x2613,x2612),x2614),x2611)
% 121.20/121.19 [266]~P6(x2661)+~P6(x2663)+~P6(x2664)+~P6(x2662)+~P16(x2662,x2664)+P16(f4(f4(x2661,x2662),x2663),x2664)
% 121.20/121.19 [202]~P6(x2022)+~P6(x2021)+E(x2021,x2022)+E(a3,x2022)+E(a3,x2021)+~E(f54(x2021),f54(x2022))+~E(f5(x2021),f5(x2022))
% 121.20/121.19 [263]~E(x2631,x2633)+~P6(x2634)+~P6(x2632)+~P7(x2633)+~P7(x2631)+~P9(x2632,x2634)+P9(f6(x2631,x2632),f6(x2633,x2634))
% 121.20/121.19 [278]~P2(x2785)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P6(x2781)+~P7(x2782)+~E(f4(f4(x2781,f6(x2782,x2783)),f6(x2782,x2784)),x2785)
% 121.20/121.19 [271]~P1(x2715)+~P6(x2715)+~P6(x2714)+~P6(x2713)+~P7(x2712)+~P7(x2711)+E(x2711,x2712)+~E(f4(x2713,f6(x2711,f6(x2712,x2714))),x2715)
% 121.20/121.19 [279]~P18(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P11(x2791,x2792)+~E(f4(f4(x2793,f6(x2791,x2794)),f6(x2792,x2795)),x2796)
% 121.20/121.19 [280]~P4(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P14(x2801,x2802)+~E(f4(f4(x2803,f6(x2801,x2804)),f6(x2802,x2805)),x2806)
% 121.20/121.19 [281]P11(x2812,x2811)+~P19(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P11(x2811,x2812)+~E(f4(f4(x2813,f6(x2812,x2814)),f6(x2811,x2815)),x2816)
% 121.20/121.19 [282]P14(x2822,x2821)+~P5(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P14(x2821,x2822)+~E(f4(f4(x2823,f6(x2822,x2824)),f6(x2821,x2825)),x2826)
% 121.20/121.19 [283]~P3(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2833)+~P6(x2831)+~P7(x2834)+~P7(x2832)+~P11(x2834,x2832)+~P11(x2832,x2834)+~E(f4(f4(x2831,f6(x2832,x2833)),f6(x2834,x2835)),x2836)
% 121.20/121.19 %EqnAxiom
% 121.20/121.19 [1]E(x11,x11)
% 121.20/121.19 [2]E(x22,x21)+~E(x21,x22)
% 121.20/121.19 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 121.20/121.19 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 121.20/121.19 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 121.20/121.19 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 121.20/121.19 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 121.20/121.19 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 121.20/121.19 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 121.20/121.19 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 121.20/121.19 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 121.20/121.19 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 121.20/121.19 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 121.20/121.19 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 121.20/121.19 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 121.20/121.19 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 121.20/121.19 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 121.20/121.19 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 121.20/121.19 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 121.20/121.19 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 121.20/121.19 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 121.20/121.19 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 121.20/121.19 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 121.20/121.19 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 121.20/121.19 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 121.20/121.19 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 121.20/121.19 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 121.20/121.19 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 121.20/121.19 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 121.20/121.19 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 121.20/121.19 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 121.20/121.19 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 121.20/121.19 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 121.20/121.19 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 121.20/121.19 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 121.20/121.19 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 121.20/121.19 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 121.20/121.20 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 121.20/121.20 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 121.20/121.20 [40]~E(x401,x402)+E(f4(x401,x403),f4(x402,x403))
% 121.20/121.20 [41]~E(x411,x412)+E(f4(x413,x411),f4(x413,x412))
% 121.20/121.20 [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 121.20/121.20 [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 121.20/121.20 [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 121.20/121.20 [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 121.20/121.20 [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 121.20/121.20 [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 121.20/121.20 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 121.20/121.20 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 121.20/121.20 [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 121.20/121.20 [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 121.20/121.20 [52]~E(x521,x522)+E(f37(x521,x523),f37(x522,x523))
% 121.20/121.20 [53]~E(x531,x532)+E(f37(x533,x531),f37(x533,x532))
% 121.20/121.20 [54]~E(x541,x542)+E(f54(x541),f54(x542))
% 121.20/121.20 [55]~E(x551,x552)+E(f6(x551,x553),f6(x552,x553))
% 121.20/121.20 [56]~E(x561,x562)+E(f6(x563,x561),f6(x563,x562))
% 121.20/121.20 [57]~E(x571,x572)+E(f5(x571),f5(x572))
% 121.20/121.20 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 121.20/121.20 [59]P11(x592,x593)+~E(x591,x592)+~P11(x591,x593)
% 121.20/121.20 [60]P11(x603,x602)+~E(x601,x602)+~P11(x603,x601)
% 121.20/121.20 [61]~P2(x611)+P2(x612)+~E(x611,x612)
% 121.20/121.20 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 121.20/121.20 [63]~P18(x631)+P18(x632)+~E(x631,x632)
% 121.20/121.20 [64]~P5(x641)+P5(x642)+~E(x641,x642)
% 121.20/121.20 [65]~P19(x651)+P19(x652)+~E(x651,x652)
% 121.20/121.20 [66]~P3(x661)+P3(x662)+~E(x661,x662)
% 121.20/121.20 [67]~P6(x671)+P6(x672)+~E(x671,x672)
% 121.20/121.20 [68]~P7(x681)+P7(x682)+~E(x681,x682)
% 121.20/121.20 [69]P16(x692,x693)+~E(x691,x692)+~P16(x691,x693)
% 121.20/121.20 [70]P16(x703,x702)+~E(x701,x702)+~P16(x703,x701)
% 121.20/121.20 [71]P13(x712,x713)+~E(x711,x712)+~P13(x711,x713)
% 121.20/121.20 [72]P13(x723,x722)+~E(x721,x722)+~P13(x723,x721)
% 121.20/121.20 [73]~P15(x731)+P15(x732)+~E(x731,x732)
% 121.20/121.20 [74]P9(x742,x743)+~E(x741,x742)+~P9(x741,x743)
% 121.20/121.20 [75]P9(x753,x752)+~E(x751,x752)+~P9(x753,x751)
% 121.20/121.20 [76]P14(x762,x763)+~E(x761,x762)+~P14(x761,x763)
% 121.20/121.20 [77]P14(x773,x772)+~E(x771,x772)+~P14(x773,x771)
% 121.20/121.20 [78]P17(x782,x783)+~E(x781,x782)+~P17(x781,x783)
% 121.20/121.20 [79]P17(x793,x792)+~E(x791,x792)+~P17(x793,x791)
% 121.20/121.20 [80]P12(x802,x803)+~E(x801,x802)+~P12(x801,x803)
% 121.20/121.20 [81]P12(x813,x812)+~E(x811,x812)+~P12(x813,x811)
% 121.20/121.20 [82]P8(x822,x823)+~E(x821,x822)+~P8(x821,x823)
% 121.20/121.20 [83]P8(x833,x832)+~E(x831,x832)+~P8(x833,x831)
% 121.20/121.20 [84]P10(x842,x843)+~E(x841,x842)+~P10(x841,x843)
% 121.20/121.20 [85]P10(x853,x852)+~E(x851,x852)+~P10(x853,x851)
% 121.20/121.20
% 121.20/121.20 %-------------------------------------------
% 121.20/121.20 cnf(288,plain,
% 121.20/121.20 (~P8(x2881,x2881)+~P6(x2881)+~P6(x2881)),
% 121.20/121.20 inference(equality_inference,[],[195])).
% 121.20/121.20 cnf(290,plain,
% 121.20/121.20 (~P8(x2901,x2901)+~P7(x2901)+~P7(x2901)),
% 121.20/121.20 inference(equality_inference,[],[197])).
% 121.20/121.20 cnf(293,plain,
% 121.20/121.20 (P17(f4(x2931,x2932),x2932)+~P6(f4(x2931,x2932))+~P6(x2932)+~P6(x2931)),
% 121.20/121.20 inference(equality_inference,[],[221])).
% 121.20/121.20 cnf(294,plain,
% 121.20/121.20 (P9(f4(x2941,x2942),x2941)+~P6(f4(x2941,x2942))+~P6(x2942)+~P6(x2941)),
% 121.20/121.20 inference(equality_inference,[],[222])).
% 121.20/121.20 cnf(295,plain,
% 121.20/121.20 (~P7(x2951)+~P7(x2951)+~P6(x2952)+P13(f6(x2951,x2952),x2951)),
% 121.20/121.20 inference(equality_inference,[],[229])).
% 121.20/121.20 cnf(302,plain,
% 121.20/121.20 (~P7(x3021)+~P7(x3021)+~P9(x3022,x3023)+~P6(x3023)+~P6(x3022)+P9(f6(x3021,x3022),f6(x3021,x3023))),
% 121.20/121.20 inference(equality_inference,[],[263])).
% 121.20/121.20 cnf(310,plain,
% 121.20/121.20 (E(a2,a1)),
% 121.20/121.20 inference(scs_inference,[],[86,2])).
% 121.20/121.20 cnf(313,plain,
% 121.20/121.20 (~P8(a2,a2)),
% 121.20/121.20 inference(scs_inference,[],[86,97,102,2,174,288])).
% 121.20/121.20 cnf(318,plain,
% 121.20/121.20 (P8(a8,a3)),
% 121.20/121.20 inference(scs_inference,[],[86,87,89,97,141,102,2,174,288,290,58,82])).
% 121.20/121.20 cnf(319,plain,
% 121.20/121.20 (~E(a7,a3)),
% 121.20/121.20 inference(scs_inference,[],[86,87,89,97,98,141,96,102,2,174,288,290,58,82,195])).
% 121.20/121.20 cnf(321,plain,
% 121.20/121.20 (P17(a8,a9)),
% 121.20/121.20 inference(scs_inference,[],[86,87,89,97,98,99,100,101,141,140,96,102,2,174,288,290,58,82,195,221])).
% 121.20/121.20 cnf(323,plain,
% 121.20/121.20 (P9(a8,a1)),
% 121.20/121.20 inference(scs_inference,[],[86,87,89,97,98,99,100,101,141,140,96,102,2,174,288,290,58,82,195,221,222])).
% 121.20/121.20 cnf(348,plain,
% 121.20/121.20 (~P14(a11,a11)),
% 121.20/121.20 inference(scs_inference,[],[103,174])).
% 121.20/121.20 cnf(350,plain,
% 121.20/121.20 (E(a8,a7)),
% 121.20/121.20 inference(scs_inference,[],[87,103,174,2])).
% 121.20/121.20 cnf(351,plain,
% 121.20/121.20 (~P8(a7,a7)),
% 121.20/121.20 inference(scs_inference,[],[87,98,103,174,2,288])).
% 121.20/121.20 cnf(355,plain,
% 121.20/121.20 (P9(a7,a1)),
% 121.20/121.20 inference(scs_inference,[],[87,98,103,323,174,2,288,290,74])).
% 121.20/121.20 cnf(356,plain,
% 121.20/121.20 (~E(a3,a7)),
% 121.20/121.20 inference(scs_inference,[],[87,98,141,103,323,174,2,288,290,74,83])).
% 121.20/121.20 cnf(357,plain,
% 121.20/121.20 (~E(a3,a8)),
% 121.20/121.20 inference(scs_inference,[],[87,98,141,103,323,174,2,288,290,74,83,3])).
% 121.20/121.20 cnf(358,plain,
% 121.20/121.20 (P9(a8,a2)),
% 121.20/121.20 inference(scs_inference,[],[86,87,98,141,103,323,174,2,288,290,74,83,3,75])).
% 121.20/121.20 cnf(368,plain,
% 121.20/121.20 (~E(a1,a3)),
% 121.20/121.20 inference(scs_inference,[],[357,150])).
% 121.20/121.20 cnf(369,plain,
% 121.20/121.20 (~P14(f53(x3691),f53(x3691))),
% 121.20/121.20 inference(scs_inference,[],[125,174])).
% 121.20/121.20 cnf(371,plain,
% 121.20/121.20 (E(a8,f4(a1,a9))),
% 121.20/121.20 inference(scs_inference,[],[140,125,174,2])).
% 121.20/121.20 cnf(374,plain,
% 121.20/121.20 (P6(f4(a1,a9))),
% 121.20/121.20 inference(scs_inference,[],[140,99,100,125,174,2,288,67])).
% 121.20/121.20 cnf(377,plain,
% 121.20/121.20 (P9(a7,a2)),
% 121.20/121.20 inference(scs_inference,[],[140,99,100,350,358,125,174,2,288,67,290,74])).
% 121.20/121.20 cnf(378,plain,
% 121.20/121.20 (~E(a3,f4(a1,a9))),
% 121.20/121.20 inference(scs_inference,[],[140,99,100,350,357,358,125,174,2,288,67,290,74,3])).
% 121.20/121.20 cnf(387,plain,
% 121.20/121.20 (~P14(f51(x3871),f51(x3871))),
% 121.20/121.20 inference(scs_inference,[],[126,174])).
% 121.20/121.20 cnf(391,plain,
% 121.20/121.20 (P8(f4(a1,a9),a3)),
% 121.20/121.20 inference(scs_inference,[],[101,318,371,126,174,288,82])).
% 121.20/121.20 cnf(394,plain,
% 121.20/121.20 (P17(f4(a1,a9),a9)),
% 121.20/121.20 inference(scs_inference,[],[101,318,371,321,126,174,288,82,290,78])).
% 121.20/121.20 cnf(395,plain,
% 121.20/121.20 (P9(f4(a1,a9),a2)),
% 121.20/121.20 inference(scs_inference,[],[101,318,371,321,358,126,174,288,82,290,78,74])).
% 121.20/121.20 cnf(396,plain,
% 121.20/121.20 (~E(f4(a1,a9),a3)),
% 121.20/121.20 inference(scs_inference,[],[101,318,374,371,321,358,126,96,174,288,82,290,78,74,195])).
% 121.20/121.20 cnf(403,plain,
% 121.20/121.20 (~P14(f52(x4031),f52(x4031))),
% 121.20/121.20 inference(scs_inference,[],[127,174])).
% 121.20/121.20 cnf(551,plain,
% 121.20/121.20 (~P9(a2,a7)+~P9(a7,a7)),
% 121.20/121.20 inference(scs_inference,[],[141,98,116,288,233])).
% 121.20/121.20 cnf(561,plain,
% 121.20/121.20 (~P9(a2,a8)+~P9(a7,a8)),
% 121.20/121.20 inference(scs_inference,[],[100,318,117,288,233])).
% 121.20/121.20 cnf(629,plain,
% 121.20/121.20 (P9(f4(f41(x6291,x6292),f41(x6291,x6292)),f41(x6291,x6292))+~P6(f4(f41(x6291,x6292),f41(x6291,x6292)))),
% 121.20/121.20 inference(scs_inference,[],[145,288,294])).
% 121.20/121.20 cnf(786,plain,
% 121.20/121.20 (P17(f4(f41(x7861,x7862),f41(x7861,x7862)),f41(x7861,x7862))+~P6(f4(f41(x7861,x7862),f41(x7861,x7862)))),
% 121.20/121.20 inference(scs_inference,[],[145,293])).
% 121.20/121.20 cnf(2247,plain,
% 121.20/121.20 (P16(a8,a3)),
% 121.20/121.20 inference(scs_inference,[],[87,98,156,67])).
% 121.20/121.20 cnf(2248,plain,
% 121.20/121.20 (P16(a7,a3)),
% 121.20/121.20 inference(scs_inference,[],[350,2247,69])).
% 121.20/121.20 cnf(2260,plain,
% 121.20/121.20 (~P16(a3,a7)),
% 121.20/121.20 inference(scs_inference,[],[98,2248,96,356,223])).
% 121.20/121.20 cnf(2307,plain,
% 121.20/121.20 (P17(f54(f4(a1,a9)),a3)),
% 121.20/121.20 inference(scs_inference,[],[378,374,157,153])).
% 121.20/121.20 cnf(2309,plain,
% 121.20/121.20 (P17(x23091,a3)+~E(f54(f4(a1,a9)),x23091)),
% 121.20/121.20 inference(scs_inference,[],[2307,79,78])).
% 121.20/121.20 cnf(2356,plain,
% 121.20/121.20 (P9(f6(f47(x23561),a1),a3)),
% 121.20/121.20 inference(scs_inference,[],[99,132,158,198])).
% 121.20/121.20 cnf(2368,plain,
% 121.20/121.20 (P9(x23681,a3)+~E(f6(f47(x23682),a1),x23681)),
% 121.20/121.20 inference(scs_inference,[],[2356,74])).
% 121.20/121.20 cnf(2412,plain,
% 121.20/121.20 (P11(f46(x24121),f46(x24121))),
% 121.20/121.20 inference(scs_inference,[],[131,161,207])).
% 121.20/121.20 cnf(2413,plain,
% 121.20/121.20 (P10(f46(x24131),f46(x24131))),
% 121.20/121.20 inference(scs_inference,[],[131,2412,206])).
% 121.20/121.20 cnf(2414,plain,
% 121.20/121.20 (P11(f46(x24141),f46(x24141))),
% 121.20/121.20 inference(rename_variables,[],[2412])).
% 121.20/121.20 cnf(2416,plain,
% 121.20/121.20 (P11(x24161,f46(x24162))+~E(f46(x24162),x24161)),
% 121.20/121.20 inference(scs_inference,[],[131,2412,2414,206,59])).
% 121.20/121.21 cnf(2430,plain,
% 121.20/121.21 (P10(x24301,f46(x24302))+~E(f46(x24302),x24301)),
% 121.20/121.21 inference(scs_inference,[],[2413,84])).
% 121.20/121.21 cnf(2472,plain,
% 121.20/121.21 (P16(a2,a1)),
% 121.20/121.21 inference(scs_inference,[],[99,86,162,69])).
% 121.20/121.21 cnf(2473,plain,
% 121.20/121.21 (P16(a1,a1)),
% 121.20/121.21 inference(scs_inference,[],[310,2472,69])).
% 121.20/121.21 cnf(2521,plain,
% 121.20/121.21 (P17(a2,a1)),
% 121.20/121.21 inference(scs_inference,[],[99,86,163,78])).
% 121.20/121.21 cnf(2522,plain,
% 121.20/121.21 (P17(a2,a2)),
% 121.20/121.21 inference(scs_inference,[],[86,2521,79])).
% 121.20/121.21 cnf(2570,plain,
% 121.20/121.21 (~P9(a2,a7)),
% 121.20/121.21 inference(scs_inference,[],[98,164,551])).
% 121.20/121.21 cnf(2616,plain,
% 121.20/121.21 (P10(f47(x26161),f47(x26161))),
% 121.20/121.21 inference(scs_inference,[],[132,165,206])).
% 121.20/121.21 cnf(2617,plain,
% 121.20/121.21 (P11(f47(x26171),f47(x26171))),
% 121.20/121.21 inference(scs_inference,[],[132,2616,207])).
% 121.20/121.21 cnf(2625,plain,
% 121.20/121.21 (P11(x26251,f47(x26252))+~E(f47(x26252),x26251)),
% 121.20/121.21 inference(scs_inference,[],[2617,59])).
% 121.20/121.21 cnf(2630,plain,
% 121.20/121.21 (P10(x26301,f47(x26302))+~E(f47(x26302),x26301)),
% 121.20/121.21 inference(scs_inference,[],[2616,84])).
% 121.20/121.21 cnf(2771,plain,
% 121.20/121.21 (~P9(a2,a8)),
% 121.20/121.21 inference(scs_inference,[],[100,97,98,377,243,561])).
% 121.20/121.21 cnf(5599,plain,
% 121.20/121.21 (P9(f6(f42(x55991),f41(x55992,x55993)),f6(f42(x55991),f41(x55992,x55993)))+~P9(f41(x55992,x55993),f41(x55992,x55993))),
% 121.20/121.21 inference(scs_inference,[],[145,135,302])).
% 121.20/121.21 cnf(6030,plain,
% 121.20/121.21 (P9(f6(f44(x60301),f41(x60302,x60303)),f6(f44(x60301),f41(x60302,x60303)))+~P9(f41(x60302,x60303),f41(x60302,x60303))),
% 121.20/121.21 inference(scs_inference,[],[145,133,302])).
% 121.20/121.21 cnf(6092,plain,
% 121.20/121.21 (P9(f6(f33(x60921),f41(x60922,x60923)),f6(f33(x60921),f41(x60922,x60923)))+~P9(f41(x60922,x60923),f41(x60922,x60923))),
% 121.20/121.21 inference(scs_inference,[],[145,137,302])).
% 121.20/121.21 cnf(6107,plain,
% 121.20/121.21 (P9(f6(f53(x61071),f41(x61072,x61073)),f6(f53(x61071),f41(x61072,x61073)))+~P9(f41(x61072,x61073),f41(x61072,x61073))),
% 121.20/121.21 inference(scs_inference,[],[145,125,302])).
% 121.20/121.21 cnf(6115,plain,
% 121.20/121.21 (P16(f41(x61151,x61152),f41(x61151,x61152))),
% 121.20/121.21 inference(scs_inference,[],[145,127,161,162])).
% 121.20/121.21 cnf(6129,plain,
% 121.20/121.21 (~P13(a3,f52(x61291))),
% 121.20/121.21 inference(scs_inference,[],[145,127,161,162,163,164,165,156,157,158,170])).
% 121.20/121.21 cnf(6135,plain,
% 121.20/121.21 (P4(f6(f52(x61351),a3))),
% 121.20/121.21 inference(scs_inference,[],[145,127,161,162,163,164,165,156,157,158,170,179,180,181])).
% 121.20/121.21 cnf(6149,plain,
% 121.20/121.21 (E(f12(a1),f12(a2))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4])).
% 121.20/121.21 cnf(6150,plain,
% 121.20/121.21 (E(f13(a1),f13(a2))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5])).
% 121.20/121.21 cnf(6171,plain,
% 121.20/121.21 (E(f51(a1),f51(a2))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26])).
% 121.20/121.21 cnf(6172,plain,
% 121.20/121.21 (E(f52(a1),f52(a2))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27])).
% 121.20/121.21 cnf(6187,plain,
% 121.20/121.21 (E(f4(a1,x61871),f4(a2,x61871))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40])).
% 121.20/121.21 cnf(6195,plain,
% 121.20/121.21 (E(f41(a1,x61951),f41(a2,x61951))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48])).
% 121.20/121.21 cnf(6196,plain,
% 121.20/121.21 (E(f41(x61961,a1),f41(x61961,a2))),
% 121.20/121.21 inference(scs_inference,[],[86,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49])).
% 121.20/121.21 cnf(6212,plain,
% 121.20/121.21 (~E(a3,a1)),
% 121.20/121.21 inference(scs_inference,[],[86,368,145,127,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2])).
% 121.20/121.21 cnf(6216,plain,
% 121.20/121.21 (~P14(f53(x62161),f53(x62161))),
% 121.20/121.21 inference(rename_variables,[],[369])).
% 121.20/121.21 cnf(6219,plain,
% 121.20/121.21 (P6(f54(a7))),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153])).
% 121.20/121.21 cnf(6221,plain,
% 121.20/121.21 (P7(f5(a7))),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155])).
% 121.20/121.21 cnf(6223,plain,
% 121.20/121.21 (~E(f6(f52(x62231),f41(x62232,x62233)),f41(x62232,x62233))),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189])).
% 121.20/121.21 cnf(6229,plain,
% 121.20/121.21 (E(f5(f6(f52(x62291),f41(x62292,x62293))),f52(x62291))),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201])).
% 121.20/121.21 cnf(6231,plain,
% 121.20/121.21 (E(f6(f53(a7),f12(a7)),a7)),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186])).
% 121.20/121.21 cnf(6233,plain,
% 121.20/121.21 (E(f6(f5(a7),f54(a7)),a7)),
% 121.20/121.21 inference(scs_inference,[],[86,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187])).
% 121.20/121.21 cnf(6238,plain,
% 121.20/121.21 (~P17(a3,a7)),
% 121.20/121.21 inference(scs_inference,[],[86,313,368,369,6216,356,145,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172])).
% 121.20/121.21 cnf(6250,plain,
% 121.20/121.21 (~E(a2,a3)),
% 121.20/121.21 inference(scs_inference,[],[86,313,368,369,6216,356,394,378,145,374,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3])).
% 121.20/121.21 cnf(6251,plain,
% 121.20/121.21 (P6(f4(f41(x62511,x62512),f41(x62511,x62512)))),
% 121.20/121.21 inference(scs_inference,[],[86,313,368,369,6216,356,394,378,145,374,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199])).
% 121.20/121.21 cnf(6255,plain,
% 121.20/121.21 (~P9(a1,a7)),
% 121.20/121.21 inference(scs_inference,[],[86,313,2570,368,369,6216,356,394,378,350,145,374,127,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74])).
% 121.20/121.21 cnf(6256,plain,
% 121.20/121.21 (~P9(a2,f4(a1,a9))),
% 121.20/121.21 inference(scs_inference,[],[86,313,2570,368,369,6216,356,2771,394,378,350,145,374,127,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75])).
% 121.20/121.21 cnf(6257,plain,
% 121.20/121.21 (P8(a3,f4(a1,a9))),
% 121.20/121.21 inference(scs_inference,[],[86,313,2570,368,369,6216,356,396,2771,394,378,350,145,96,374,127,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175])).
% 121.20/121.21 cnf(6263,plain,
% 121.20/121.21 (~P14(f5(a7),f5(a7))),
% 121.20/121.21 inference(scs_inference,[],[86,313,348,2570,368,148,369,6216,356,396,2771,394,378,350,145,96,374,127,102,103,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219])).
% 121.20/121.21 cnf(6265,plain,
% 121.20/121.21 (~P12(f52(x62651),f52(x62651))),
% 121.20/121.21 inference(scs_inference,[],[86,313,348,2570,368,148,369,6216,356,396,2771,394,378,350,145,96,374,127,102,103,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220])).
% 121.20/121.21 cnf(6267,plain,
% 121.20/121.21 (P13(f6(f52(x62671),f41(a1,x62672)),f52(x62671))),
% 121.20/121.21 inference(scs_inference,[],[86,313,348,2570,368,148,369,6216,356,396,2771,394,378,350,145,96,374,127,102,103,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295])).
% 121.20/121.21 cnf(6268,plain,
% 121.20/121.21 (P6(f41(x62681,x62682))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6277,plain,
% 121.20/121.21 (P6(f41(x62771,x62772))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6280,plain,
% 121.20/121.21 (P6(f41(x62801,x62802))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6282,plain,
% 121.20/121.21 (E(f5(f4(a7,f41(x62821,x62822))),f5(a7))),
% 121.20/121.21 inference(scs_inference,[],[86,313,348,2570,368,148,369,6216,356,149,396,2771,394,378,350,145,6268,6277,6280,96,374,127,102,103,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295,194,192,193,238,239,205])).
% 121.20/121.21 cnf(6291,plain,
% 121.20/121.21 (P6(f41(x62911,x62912))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6296,plain,
% 121.20/121.21 (P6(f41(x62961,x62962))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6299,plain,
% 121.20/121.21 (P6(f41(x62991,x62992))),
% 121.20/121.21 inference(rename_variables,[],[145])).
% 121.20/121.21 cnf(6301,plain,
% 121.20/121.21 (P17(f4(f41(x63011,x63012),a2),a2)),
% 121.20/121.21 inference(scs_inference,[],[86,313,348,2570,368,148,369,6216,356,149,396,2522,2771,394,378,371,350,145,6268,6277,6280,6291,6296,6299,96,374,127,102,103,100,97,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295,194,192,193,238,239,205,230,257,258,269,195,293,294,250])).
% 121.20/121.21 cnf(6313,plain,
% 121.20/121.21 (~P4(f6(f5(a7),a7))),
% 121.20/121.21 inference(scs_inference,[],[86,313,319,348,2570,368,148,369,6216,356,149,396,2522,2771,395,394,378,371,350,145,6268,6277,6280,6291,6296,6299,96,374,127,102,103,100,97,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295,194,192,193,238,239,205,230,257,258,269,195,293,294,250,251,252,253,254,232,249])).
% 121.20/121.21 cnf(6325,plain,
% 121.20/121.21 (P16(f4(f4(f41(x63251,x63252),a1),f41(x63251,x63252)),a1)),
% 121.20/121.21 inference(scs_inference,[],[86,313,319,348,2260,2570,368,148,369,6216,356,149,396,2473,2522,2771,395,394,378,371,350,145,6268,6277,6280,6291,6296,6299,96,374,127,102,103,100,99,97,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295,194,192,193,238,239,205,230,257,258,269,195,293,294,250,251,252,253,254,232,249,221,236,237,260,261,266])).
% 121.20/121.21 cnf(6327,plain,
% 121.20/121.21 (~P13(f4(a3,a3),f52(x63271))),
% 121.20/121.21 inference(scs_inference,[],[86,313,319,348,2260,2570,368,148,369,6216,356,149,396,2473,2522,2771,395,394,378,371,350,145,6268,6277,6280,6291,6296,6299,96,374,127,102,103,100,99,97,140,98,161,162,163,164,165,156,157,158,170,179,180,181,182,183,184,185,159,160,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,54,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,2368,5599,6030,6092,6107,2,198,76,77,153,155,189,188,200,201,186,187,228,82,172,173,171,288,78,290,83,3,199,79,70,74,75,175,176,209,219,220,295,194,192,193,238,239,205,230,257,258,269,195,293,294,250,251,252,253,254,232,249,221,236,237,260,261,266,262])).
% 121.20/121.21 cnf(6399,plain,
% 121.20/121.21 (E(f52(f4(a1,x63991)),f52(f4(a2,x63991)))),
% 121.20/121.21 inference(scs_inference,[],[6187,6219,6221,6251,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27])).
% 121.20/121.21 cnf(6403,plain,
% 121.20/121.21 (E(f47(f4(a1,x64031)),f47(f4(a2,x64031)))),
% 121.20/121.21 inference(scs_inference,[],[6187,6219,6221,6251,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32])).
% 121.20/121.21 cnf(6405,plain,
% 121.20/121.21 (E(f46(f4(a1,x64051)),f46(f4(a2,x64051)))),
% 121.20/121.21 inference(scs_inference,[],[6187,6219,6221,6251,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31])).
% 121.20/121.21 cnf(6411,plain,
% 121.20/121.21 (P4(f6(f5(a7),a3))),
% 121.20/121.21 inference(scs_inference,[],[6187,6219,6221,6251,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181])).
% 121.20/121.21 cnf(6460,plain,
% 121.20/121.21 (~E(a3,a2)),
% 121.20/121.21 inference(scs_inference,[],[6250,6187,6219,6221,6251,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2])).
% 121.20/121.21 cnf(6486,plain,
% 121.20/121.21 (E(f4(a1,x64861),f4(a2,x64861))),
% 121.20/121.21 inference(rename_variables,[],[6187])).
% 121.20/121.21 cnf(6490,plain,
% 121.20/121.21 (~P14(f51(x64901),f51(x64901))),
% 121.20/121.21 inference(rename_variables,[],[387])).
% 121.20/121.21 cnf(6494,plain,
% 121.20/121.21 (~P12(f52(x64941),f52(x64941))),
% 121.20/121.21 inference(rename_variables,[],[6265])).
% 121.20/121.21 cnf(6497,plain,
% 121.20/121.21 (P7(f5(f4(a2,a9)))),
% 121.20/121.21 inference(scs_inference,[],[6250,387,6490,6265,6494,6327,6187,6171,6172,6219,6221,6267,6251,391,378,374,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2,71,153,200,187,172,228,198,189,188,186,173,201,82,155,77,76,80,81,68])).
% 121.20/121.21 cnf(6503,plain,
% 121.20/121.21 (E(f4(a1,x65031),f4(a2,x65031))),
% 121.20/121.21 inference(rename_variables,[],[6187])).
% 121.20/121.21 cnf(6506,plain,
% 121.20/121.21 (E(f4(a1,x65061),f4(a2,x65061))),
% 121.20/121.21 inference(rename_variables,[],[6187])).
% 121.20/121.21 cnf(6525,plain,
% 121.20/121.21 (P13(f6(f5(a7),f54(a7)),f5(a7))),
% 121.20/121.21 inference(scs_inference,[],[86,6212,6255,6250,6238,387,6490,6256,6265,6494,6327,6187,6486,6503,6171,6172,6219,6221,6257,6267,6251,6135,6313,6231,6325,6282,2260,396,391,378,96,374,99,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2,71,153,200,187,172,228,198,189,188,186,173,201,82,155,77,76,80,81,68,171,69,62,83,72,3,199,79,70,74,75,196,192,205,269,257,175,295])).
% 121.20/121.21 cnf(6529,plain,
% 121.20/121.21 (~E(f4(a8,a8),a3)),
% 121.20/121.21 inference(scs_inference,[],[86,6212,6255,6250,6238,387,6490,6256,6265,6494,6327,6187,6486,6503,6171,6172,6219,6221,6257,6267,6251,6135,6313,6231,6325,6282,2260,396,391,357,378,96,374,100,99,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2,71,153,200,187,172,228,198,189,188,186,173,201,82,155,77,76,80,81,68,171,69,62,83,72,3,199,79,70,74,75,196,192,205,269,257,175,295,238,193])).
% 121.20/121.21 cnf(6543,plain,
% 121.20/121.21 (~P9(a2,a1)),
% 121.20/121.21 inference(scs_inference,[],[86,6212,6255,6250,6238,387,6490,6256,6265,6494,6327,6187,6486,6503,6171,6172,6219,6221,6263,6257,6267,6251,6135,6313,6231,6325,6282,2260,149,396,391,357,355,378,96,374,100,99,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2,71,153,200,187,172,228,198,189,188,186,173,201,82,155,77,76,80,81,68,171,69,62,83,72,3,199,79,70,74,75,196,192,205,269,257,175,295,238,193,239,258,194,230,209,197,233])).
% 121.20/121.21 cnf(6568,plain,
% 121.20/121.21 (P6(f4(a2,a9))),
% 121.20/121.21 inference(scs_inference,[],[86,6212,6255,6250,6238,387,6490,6256,6265,6494,6327,6187,6486,6503,6506,6171,6172,6219,6221,6263,6257,6267,6251,6135,6313,6231,6325,6282,2260,149,396,391,357,355,378,96,374,100,99,97,629,786,183,159,185,157,158,182,156,180,161,23,38,55,16,17,35,7,6,34,163,33,40,27,184,29,32,30,31,37,41,57,51,48,181,47,53,9,10,56,160,179,39,164,170,162,54,165,21,18,19,2625,13,49,52,50,24,5,28,43,8,14,15,11,45,26,46,12,44,36,42,4,25,2430,20,22,2,71,153,200,187,172,228,198,189,188,186,173,201,82,155,77,76,80,81,68,171,69,62,83,72,3,199,79,70,74,75,196,192,205,269,257,175,295,238,193,239,258,194,230,209,197,233,229,250,254,222,252,231,251,266,260,2309,2416,2630,191,67])).
% 121.20/121.21 cnf(6704,plain,
% 121.20/121.21 (~P14(f52(x67041),f52(x67041))),
% 121.20/121.21 inference(rename_variables,[],[403])).
% 121.20/121.21 cnf(6708,plain,
% 121.20/121.21 (~P12(f52(x67081),f52(x67081))),
% 121.20/121.21 inference(rename_variables,[],[6265])).
% 121.20/121.21 cnf(6714,plain,
% 121.20/121.21 (E(f41(a1,x67141),f41(a2,x67141))),
% 121.20/121.21 inference(rename_variables,[],[6195])).
% 121.20/121.21 cnf(6715,plain,
% 121.20/121.21 (P16(f41(x67151,x67152),f41(x67151,x67152))),
% 121.20/121.21 inference(rename_variables,[],[6115])).
% 121.20/121.21 cnf(6729,plain,
% 121.20/121.21 (~P9(a1,a1)),
% 121.20/121.21 inference(scs_inference,[],[86,351,6460,6543,403,6704,6115,6715,6568,6149,6195,6714,6196,6129,6529,6223,6525,6411,6497,6233,6301,6399,6403,6405,6229,6265,6708,6313,97,158,157,183,163,182,159,161,184,179,164,55,165,170,162,185,35,17,33,41,57,2630,156,9,180,38,27,18,21,13,54,160,16,181,47,51,24,30,2416,23,34,48,40,42,50,5,29,31,37,6,7,32,49,10,52,11,45,12,39,36,4,56,53,25,19,26,43,44,46,14,15,22,8,28,20,2430,2,172,153,188,187,200,198,189,201,173,71,155,186,228,82,77,76,81,171,80,69,78,62,83,72,3,199,79,70,74])).
% 121.20/121.21 cnf(10374,plain,
% 121.20/121.21 ($false),
% 121.20/121.21 inference(scs_inference,[],[99,6150,6729,2,164]),
% 121.20/121.21 ['proof']).
% 121.20/121.21 % SZS output end Proof
% 121.20/121.21 % Total time :120.440000s
%------------------------------------------------------------------------------