%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 16:14:53 EDT 2024
% Result : Unsatisfiable 123.19s 123.20s
% Output : CNFRefutation 123.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 04:18:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 123.19/123.18 %-------------------------------------------
% 123.19/123.18 % File :CSE---1.7
% 123.19/123.18 % Problem :theBenchmark
% 123.19/123.18 % Transform :cnf
% 123.19/123.18 % Format :tptp:raw
% 123.19/123.18 % Command :java -jar mcs_scs.jar %d %s
% 123.19/123.18
% 123.19/123.18 % Result :Theorem 122.540000s
% 123.19/123.18 % Output :CNFRefutation 122.540000s
% 123.19/123.18 %-------------------------------------------
% 123.19/123.19 %--------------------------------------------------------------------------
% 123.19/123.19 % File : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% 123.19/123.19 % Domain : Software Creation
% 123.19/123.19 % Problem : cond_pst_strict_sorted1_x_pivot
% 123.19/123.19 % Version : [Wei00] axioms.
% 123.19/123.19 % English : Find components in a software library that match a given target
% 123.19/123.19 % specification given in first-order logic. The components are
% 123.19/123.19 % specified in first-order logic as well. The problem represents
% 123.19/123.19 % a test of one library module specification against a target
% 123.19/123.19 % specification.
% 123.19/123.19
% 123.19/123.19 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 123.19/123.19 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 123.19/123.19 % Source : [TPTP]
% 123.19/123.19 % Names :
% 123.19/123.19
% 123.19/123.19 % Status : Unsatisfiable
% 123.19/123.19 % Rating : 0.15 v8.2.0, 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 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, 0.35 v5.0.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.36 v2.7.0, 0.33 v2.6.0, 0.44 v2.5.0, 0.33 v2.4.0
% 123.19/123.19 % Syntax : Number of clauses : 206 ( 61 unt; 43 nHn; 163 RR)
% 123.19/123.19 % Number of literals : 647 ( 118 equ; 411 neg)
% 123.19/123.19 % Maximal clause size : 10 ( 3 avg)
% 123.19/123.19 % Maximal term depth : 5 ( 1 avg)
% 123.19/123.19 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 123.19/123.19 % Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% 123.19/123.19 % Number of variables : 330 ( 49 sgn)
% 123.19/123.19 % SPC : CNF_UNS_RFO_SEQ_NHN
% 123.19/123.19
% 123.19/123.19 % Comments : Created by CNF conversion from SWC288+1
% 123.19/123.19 %--------------------------------------------------------------------------
% 123.19/123.19 %----Include list specification axioms
% 123.19/123.19 include('Axioms/SWC001-0.ax').
% 123.19/123.19 %--------------------------------------------------------------------------
% 123.19/123.19 cnf(co1_1,negated_conjecture,
% 123.19/123.19 ssList(sk1) ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_2,negated_conjecture,
% 123.19/123.19 ssList(sk2) ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_3,negated_conjecture,
% 123.19/123.19 ssList(sk3) ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_4,negated_conjecture,
% 123.19/123.19 ssList(sk4) ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_5,negated_conjecture,
% 123.19/123.19 sk2 = sk4 ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_6,negated_conjecture,
% 123.19/123.19 sk1 = sk3 ).
% 123.19/123.19
% 123.19/123.19 cnf(co1_7,negated_conjecture,
% 123.19/123.20 ~ strictorderedP(sk1) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_8,negated_conjecture,
% 123.19/123.20 ( ssItem(sk5)
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_9,negated_conjecture,
% 123.19/123.20 ( ssItem(sk5)
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_10,negated_conjecture,
% 123.19/123.20 ( ssList(sk6)
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_11,negated_conjecture,
% 123.19/123.20 ( ssList(sk7)
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_12,negated_conjecture,
% 123.19/123.20 ( cons(sk5,nil) = sk3
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_13,negated_conjecture,
% 123.19/123.20 ( app(app(sk6,sk3),sk7) = sk4
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_14,negated_conjecture,
% 123.19/123.20 ( ~ ssItem(A)
% 123.19/123.20 | ~ memberP(sk6,A)
% 123.19/123.20 | ~ lt(sk5,A)
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_15,negated_conjecture,
% 123.19/123.20 ( ~ ssItem(A)
% 123.19/123.20 | ~ memberP(sk7,A)
% 123.19/123.20 | ~ lt(A,sk5)
% 123.19/123.20 | nil = sk4 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_16,negated_conjecture,
% 123.19/123.20 ( ssList(sk6)
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_17,negated_conjecture,
% 123.19/123.20 ( ssList(sk7)
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_18,negated_conjecture,
% 123.19/123.20 ( cons(sk5,nil) = sk3
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_19,negated_conjecture,
% 123.19/123.20 ( app(app(sk6,sk3),sk7) = sk4
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_20,negated_conjecture,
% 123.19/123.20 ( ~ ssItem(A)
% 123.19/123.20 | ~ memberP(sk6,A)
% 123.19/123.20 | ~ lt(sk5,A)
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 cnf(co1_21,negated_conjecture,
% 123.19/123.20 ( ~ ssItem(A)
% 123.19/123.20 | ~ memberP(sk7,A)
% 123.19/123.20 | ~ lt(A,sk5)
% 123.19/123.20 | nil = sk3 ) ).
% 123.19/123.20
% 123.19/123.20 %--------------------------------------------------------------------------
% 123.19/123.20 %-------------------------------------------
% 123.19/123.20 % Proof found
% 123.19/123.20 % SZS status Theorem for theBenchmark
% 123.19/123.20 % SZS output start Proof
% 123.19/123.20 %ClaNum:291(EqnAxiom:85)
% 123.19/123.20 %VarNum:903(SingletonVarNum:326)
% 123.19/123.20 %MaxLitNum:10
% 123.19/123.20 %MaxfuncDepth:4
% 123.19/123.20 %SharedTerms:39
% 123.19/123.20 %goalClause: 86 87 96 97 98 99 145 147 148 149 150 151 152 153 154 181 182 211 212 213 214
% 123.19/123.20 %singleGoalClaCount:7
% 123.19/123.20 [86]E(a1,a2)
% 123.19/123.20 [87]E(a7,a8)
% 123.19/123.20 [88]P1(a3)
% 123.19/123.20 [89]P2(a3)
% 123.19/123.20 [90]P4(a3)
% 123.19/123.20 [91]P18(a3)
% 123.19/123.20 [92]P5(a3)
% 123.19/123.20 [93]P19(a3)
% 123.19/123.20 [94]P3(a3)
% 123.19/123.20 [95]P6(a3)
% 123.19/123.20 [96]P6(a2)
% 123.19/123.20 [97]P6(a7)
% 123.19/123.20 [98]P6(a1)
% 123.19/123.20 [99]P6(a8)
% 123.19/123.20 [100]P7(a9)
% 123.19/123.20 [101]P7(a10)
% 123.19/123.20 [144]~E(a10,a9)
% 123.19/123.20 [145]~P4(a2)
% 123.19/123.20 [146]~P8(a3)
% 123.19/123.20 [102]P6(f14(x1021))
% 123.19/123.20 [103]P6(f15(x1031))
% 123.19/123.20 [104]P6(f16(x1041))
% 123.19/123.20 [105]P6(f17(x1051))
% 123.19/123.20 [106]P6(f18(x1061))
% 123.19/123.20 [107]P6(f19(x1071))
% 123.19/123.20 [108]P6(f20(x1081))
% 123.19/123.20 [109]P6(f21(x1091))
% 123.19/123.20 [110]P6(f22(x1101))
% 123.19/123.20 [111]P6(f23(x1111))
% 123.19/123.20 [112]P6(f24(x1121))
% 123.19/123.20 [113]P6(f25(x1131))
% 123.19/123.20 [114]P6(f26(x1141))
% 123.19/123.20 [115]P6(f27(x1151))
% 123.19/123.20 [116]P6(f28(x1161))
% 123.19/123.20 [117]P6(f29(x1171))
% 123.19/123.20 [118]P6(f30(x1181))
% 123.19/123.20 [119]P6(f31(x1191))
% 123.19/123.20 [120]P6(f32(x1201))
% 123.19/123.20 [121]P6(f33(x1211))
% 123.19/123.20 [122]P6(f34(x1221))
% 123.19/123.20 [123]P7(f55(x1231))
% 123.19/123.20 [124]P7(f53(x1241))
% 123.19/123.20 [125]P7(f54(x1251))
% 123.19/123.20 [126]P7(f52(x1261))
% 123.19/123.20 [127]P7(f50(x1271))
% 123.19/123.20 [128]P7(f51(x1281))
% 123.19/123.20 [129]P7(f48(x1291))
% 123.19/123.20 [130]P7(f49(x1301))
% 123.19/123.20 [131]P7(f46(x1311))
% 123.19/123.20 [132]P7(f47(x1321))
% 123.19/123.20 [133]P7(f44(x1331))
% 123.19/123.20 [134]P7(f45(x1341))
% 123.19/123.20 [135]P7(f35(x1351))
% 123.19/123.20 [136]P7(f36(x1361))
% 123.19/123.20 [137]P7(f37(x1371))
% 123.19/123.20 [138]P6(f40(x1381,x1382))
% 123.19/123.20 [139]P6(f41(x1391,x1392))
% 123.19/123.20 [140]P6(f42(x1401,x1402))
% 123.19/123.20 [141]P6(f43(x1411,x1412))
% 123.19/123.20 [142]P6(f38(x1421,x1422))
% 123.19/123.20 [143]P6(f39(x1431,x1432))
% 123.19/123.20 [147]E(a1,a3)+P6(a11)
% 123.19/123.20 [148]E(a1,a3)+P6(a13)
% 123.19/123.20 [149]E(a1,a3)+P7(a12)
% 123.19/123.20 [150]E(a3,a8)+P6(a11)
% 123.19/123.20 [151]E(a3,a8)+P6(a13)
% 123.19/123.20 [152]E(a3,a8)+P7(a12)
% 123.19/123.20 [153]E(a1,a3)+E(f4(a12,a3),a1)
% 123.19/123.20 [154]E(a3,a8)+E(f4(a12,a3),a1)
% 123.19/123.20 [181]E(a1,a3)+E(f5(f5(a11,a1),a13),a8)
% 123.19/123.20 [182]E(a3,a8)+E(f5(f5(a11,a1),a13),a8)
% 123.19/123.20 [160]~P6(x1601)+P9(x1601,a3)
% 123.19/123.20 [161]~P6(x1611)+P10(x1611,a3)
% 123.19/123.20 [162]~P6(x1621)+P11(x1621,a3)
% 123.19/123.20 [165]~P7(x1651)+P12(x1651,x1651)
% 123.19/123.20 [166]~P6(x1661)+P9(x1661,x1661)
% 123.19/123.20 [167]~P6(x1671)+P10(x1671,x1671)
% 123.19/123.20 [168]~P6(x1681)+P11(x1681,x1681)
% 123.19/123.20 [169]~P7(x1691)+P13(x1691,x1691)
% 123.19/123.20 [174]~P7(x1741)+~P15(a3,x1741)
% 123.19/123.20 [178]~P16(x1781,x1781)+~P7(x1781)
% 123.19/123.20 [163]~P6(x1631)+E(f5(x1631,a3),x1631)
% 123.19/123.20 [164]~P6(x1641)+E(f5(a3,x1641),x1641)
% 123.19/123.20 [185]~P7(x1851)+P1(f4(x1851,a3))
% 123.19/123.20 [186]~P7(x1861)+P2(f4(x1861,a3))
% 123.19/123.20 [187]~P7(x1871)+P4(f4(x1871,a3))
% 123.19/123.20 [188]~P7(x1881)+P18(f4(x1881,a3))
% 123.19/123.20 [189]~P7(x1891)+P5(f4(x1891,a3))
% 123.19/123.20 [190]~P7(x1901)+P19(f4(x1901,a3))
% 123.19/123.20 [191]~P7(x1911)+P3(f4(x1911,a3))
% 123.19/123.20 [170]~P6(x1701)+~E(a3,x1701)+P9(a3,x1701)
% 123.19/123.20 [171]~P6(x1711)+~E(a3,x1711)+P10(a3,x1711)
% 123.19/123.20 [172]~P6(x1721)+~E(a3,x1721)+P11(a3,x1721)
% 123.19/123.20 [175]~P6(x1751)+~P9(a3,x1751)+E(a3,x1751)
% 123.19/123.20 [176]~P6(x1761)+~P10(a3,x1761)+E(a3,x1761)
% 123.19/123.20 [177]~P6(x1771)+~P11(a3,x1771)+E(a3,x1771)
% 123.19/123.20 [157]~P6(x1571)+E(a3,x1571)+P6(f56(x1571))
% 123.19/123.20 [159]~P6(x1591)+E(a3,x1591)+P7(f6(x1591))
% 123.19/123.20 [173]~P6(x1731)+P1(x1731)+~E(f54(x1731),f53(x1731))
% 123.19/123.21 [196]~P6(x1961)+P3(x1961)+P13(f35(x1961),f36(x1961))
% 123.19/123.21 [197]~P6(x1971)+P3(x1971)+P13(f36(x1971),f35(x1971))
% 123.19/123.21 [221]~P6(x2211)+P4(x2211)+~P16(f51(x2211),f50(x2211))
% 123.19/123.21 [222]~P6(x2221)+P18(x2221)+~P13(f49(x2221),f48(x2221))
% 123.19/123.21 [223]~P6(x2231)+P5(x2231)+~P16(f46(x2231),f47(x2231))
% 123.19/123.21 [224]~P6(x2241)+P5(x2241)+~P16(f47(x2241),f46(x2241))
% 123.19/123.21 [225]~P6(x2251)+P19(x2251)+~P13(f44(x2251),f45(x2251))
% 123.19/123.21 [226]~P6(x2261)+P19(x2261)+~P13(f45(x2261),f44(x2261))
% 123.19/123.21 [184]~P6(x1841)+~P8(x1841)+E(f4(f37(x1841),a3),x1841)
% 123.19/123.21 [192]~P6(x1921)+E(a3,x1921)+E(f4(f55(x1921),f14(x1921)),x1921)
% 123.19/123.21 [193]~P6(x1931)+E(a3,x1931)+E(f4(f6(x1931),f56(x1931)),x1931)
% 123.19/123.21 [280]P2(x2801)+~P6(x2801)+E(f5(f5(f19(x2801),f4(f52(x2801),f18(x2801))),f4(f52(x2801),f17(x2801))),x2801)
% 123.19/123.21 [281]P4(x2811)+~P6(x2811)+E(f5(f5(f22(x2811),f4(f51(x2811),f21(x2811))),f4(f50(x2811),f20(x2811))),x2811)
% 123.19/123.21 [282]P18(x2821)+~P6(x2821)+E(f5(f5(f25(x2821),f4(f49(x2821),f24(x2821))),f4(f48(x2821),f23(x2821))),x2821)
% 123.19/123.21 [283]P5(x2831)+~P6(x2831)+E(f5(f5(f28(x2831),f4(f47(x2831),f27(x2831))),f4(f46(x2831),f26(x2831))),x2831)
% 123.19/123.21 [284]P19(x2841)+~P6(x2841)+E(f5(f5(f31(x2841),f4(f45(x2841),f30(x2841))),f4(f44(x2841),f29(x2841))),x2841)
% 123.19/123.21 [285]P3(x2851)+~P6(x2851)+E(f5(f5(f34(x2851),f4(f36(x2851),f33(x2851))),f4(f35(x2851),f32(x2851))),x2851)
% 123.19/123.21 [278]P1(x2781)+~P6(x2781)+E(f5(f16(x2781),f4(f54(x2781),f4(f53(x2781),f15(x2781)))),x2781)
% 123.19/123.21 [155]~P6(x1551)+P2(x1551)+P7(x1552)
% 123.19/123.21 [194]~P6(x1942)+~P7(x1941)+~E(f4(x1941,x1942),a3)
% 123.19/123.21 [195]~P6(x1952)+~P7(x1951)+~E(f4(x1951,x1952),x1952)
% 123.19/123.21 [204]~P6(x2042)+~P7(x2041)+P6(f4(x2041,x2042))
% 123.19/123.21 [205]~P6(x2051)+~P6(x2052)+P6(f5(x2051,x2052))
% 123.19/123.21 [206]~P6(x2062)+~P7(x2061)+E(f56(f4(x2061,x2062)),x2062)
% 123.19/123.21 [207]~P6(x2072)+~P7(x2071)+E(f6(f4(x2071,x2072)),x2071)
% 123.19/123.21 [238]~P6(x2382)+~P7(x2381)+E(f5(f4(x2381,a3),x2382),f4(x2381,x2382))
% 123.19/123.21 [211]~P7(x2111)+E(a1,a3)+~P16(x2111,a12)+~P15(a13,x2111)
% 123.19/123.21 [212]~P7(x2121)+E(a3,a8)+~P16(x2121,a12)+~P15(a13,x2121)
% 123.19/123.21 [213]~P7(x2131)+E(a1,a3)+~P16(a12,x2131)+~P15(a11,x2131)
% 123.19/123.21 [214]~P7(x2141)+E(a3,a8)+~P16(a12,x2141)+~P15(a11,x2141)
% 123.19/123.21 [179]P17(x1792,x1791)+~P6(x1792)+~P6(x1791)+E(x1791,x1792)
% 123.19/123.21 [180]P17(x1802,x1801)+~P7(x1802)+~P7(x1801)+E(x1801,x1802)
% 123.19/123.21 [201]~P6(x2012)+~P6(x2011)+~P17(x2011,x2012)+~E(x2011,x2012)
% 123.19/123.21 [202]~P7(x2022)+~P7(x2021)+~P16(x2021,x2022)+~E(x2021,x2022)
% 123.19/123.21 [203]~P7(x2032)+~P7(x2031)+~P17(x2031,x2032)+~E(x2031,x2032)
% 123.19/123.21 [216]~P7(x2161)+~P7(x2162)+~P13(x2162,x2161)+P12(x2161,x2162)
% 123.19/123.21 [217]~P7(x2171)+~P7(x2172)+~P12(x2172,x2171)+P13(x2171,x2172)
% 123.19/123.21 [218]~P7(x2182)+~P7(x2181)+~P16(x2181,x2182)+P13(x2181,x2182)
% 123.19/123.21 [219]~P7(x2191)+~P7(x2192)+~P14(x2192,x2191)+P16(x2191,x2192)
% 123.19/123.21 [220]~P7(x2201)+~P7(x2202)+~P16(x2202,x2201)+P14(x2201,x2202)
% 123.19/123.21 [229]~P16(x2291,x2292)+~P16(x2292,x2291)+~P7(x2291)+~P7(x2292)
% 123.19/123.21 [230]~P14(x2301,x2302)+~P14(x2302,x2301)+~P7(x2301)+~P7(x2302)
% 123.19/123.21 [198]~P6(x1981)+~P6(x1982)+E(a3,x1981)+~E(f5(x1982,x1981),a3)
% 123.19/123.21 [199]~P6(x1992)+~P6(x1991)+E(a3,x1991)+~E(f5(x1991,x1992),a3)
% 123.19/123.21 [200]~P6(x2001)+~P7(x2002)+P8(x2001)+~E(f4(x2002,a3),x2001)
% 123.19/123.21 [209]~P6(x2092)+~P7(x2091)+~E(a3,x2092)+P4(f4(x2091,x2092))
% 123.19/123.21 [210]~P6(x2102)+~P7(x2101)+~E(a3,x2102)+P18(f4(x2101,x2102))
% 123.19/123.21 [215]~P6(x2151)+~P6(x2152)+E(a3,x2151)+E(f6(f5(x2151,x2152)),f6(x2151))
% 123.19/123.21 [240]~P6(x2401)+~P6(x2402)+E(a3,x2401)+E(f56(f5(x2401,x2402)),f5(f56(x2401),x2402))
% 123.19/123.21 [247]~P6(x2471)+~P6(x2472)+~P11(x2472,x2471)+E(f5(x2471,f43(x2472,x2471)),x2472)
% 123.19/123.21 [248]~P6(x2482)+~P6(x2481)+~P10(x2481,x2482)+E(f5(f42(x2481,x2482),x2482),x2481)
% 123.19/123.21 [277]~P6(x2772)+~P6(x2771)+~P9(x2771,x2772)+E(f5(f5(f41(x2771,x2772),x2772),f40(x2772,x2771)),x2771)
% 123.19/123.21 [276]~P6(x2761)+~P7(x2762)+~P15(x2761,x2762)+E(f5(f39(x2761,x2762),f4(x2762,f38(x2762,x2761))),x2761)
% 123.19/123.21 [266]~P6(x2663)+~P6(x2662)+~P7(x2661)+E(f5(f4(x2661,x2662),x2663),f4(x2661,f5(x2662,x2663)))
% 123.19/123.21 [267]~P6(x2671)+~P6(x2672)+~P6(x2673)+E(f5(f5(x2671,x2672),x2673),f5(x2671,f5(x2672,x2673)))
% 123.19/123.21 [228]P16(x2281,x2282)+~P7(x2282)+~P7(x2281)+~P13(x2281,x2282)+E(x2281,x2282)
% 123.19/123.21 [233]~P6(x2332)+~P6(x2331)+~P9(x2332,x2331)+~P9(x2331,x2332)+E(x2331,x2332)
% 123.19/123.21 [234]~P6(x2342)+~P6(x2341)+~P10(x2342,x2341)+~P10(x2341,x2342)+E(x2341,x2342)
% 123.19/123.21 [235]~P6(x2352)+~P6(x2351)+~P11(x2352,x2351)+~P11(x2351,x2352)+E(x2351,x2352)
% 123.19/123.21 [236]~P7(x2362)+~P7(x2361)+~P12(x2362,x2361)+~P12(x2361,x2362)+E(x2361,x2362)
% 123.19/123.21 [237]~P7(x2372)+~P7(x2371)+~P13(x2372,x2371)+~P13(x2371,x2372)+E(x2371,x2372)
% 123.19/123.21 [183]~P6(x1832)+~P6(x1831)+~E(a3,x1832)+~E(a3,x1831)+E(f5(x1831,x1832),a3)
% 123.19/123.21 [243]P4(x2431)+~P6(x2431)+~P7(x2432)+E(a3,x2431)+~P4(f4(x2432,x2431))
% 123.19/123.21 [244]P18(x2441)+~P6(x2441)+~P7(x2442)+E(a3,x2441)+~P18(f4(x2442,x2441))
% 123.19/123.21 [257]~P6(x2571)+~P7(x2572)+E(a3,x2571)+P13(x2572,f6(x2571))+~P18(f4(x2572,x2571))
% 123.19/123.21 [258]~P6(x2581)+~P7(x2582)+E(a3,x2581)+P16(x2582,f6(x2581))+~P4(f4(x2582,x2581))
% 123.19/123.21 [231]~P6(x2311)+~P6(x2312)+~P6(x2313)+P10(x2311,x2312)+~E(f5(x2313,x2312),x2311)
% 123.19/123.21 [232]~P6(x2321)+~P6(x2323)+~P6(x2322)+P11(x2321,x2322)+~E(f5(x2322,x2323),x2321)
% 123.19/123.21 [239]~E(x2393,x2391)+~P6(x2392)+~P7(x2391)+~P7(x2393)+P15(f4(x2391,x2392),x2393)
% 123.19/123.21 [241]~P6(x2412)+~P6(x2411)+~P6(x2413)+E(x2411,x2412)+~E(f5(x2413,x2411),f5(x2413,x2412))
% 123.19/123.21 [242]~P6(x2422)+~P6(x2423)+~P6(x2421)+E(x2421,x2422)+~E(f5(x2421,x2423),f5(x2422,x2423))
% 123.19/123.21 [259]~P6(x2591)+~P6(x2593)+~P6(x2592)+~P10(x2592,x2593)+P10(f5(x2591,x2592),x2593)
% 123.19/123.21 [260]~P6(x2602)+~P6(x2603)+~P6(x2601)+~P11(x2601,x2603)+P11(f5(x2601,x2602),x2603)
% 123.19/123.21 [261]~P6(x2612)+~P7(x2611)+~P7(x2613)+~P15(x2612,x2613)+P15(f4(x2611,x2612),x2613)
% 123.19/123.21 [262]~P6(x2621)+~P6(x2622)+~P7(x2623)+~P15(x2622,x2623)+P15(f5(x2621,x2622),x2623)
% 123.19/123.21 [263]~P6(x2632)+~P6(x2631)+~P7(x2633)+~P15(x2631,x2633)+P15(f5(x2631,x2632),x2633)
% 123.19/123.21 [264]~P4(x2641)+~P6(x2641)+~P7(x2642)+~P16(x2642,f6(x2641))+E(a3,x2641)+P4(f4(x2642,x2641))
% 123.19/123.21 [265]~P18(x2651)+~P6(x2651)+~P7(x2652)+~P13(x2652,f6(x2651))+E(a3,x2651)+P18(f4(x2652,x2651))
% 123.19/123.21 [249]~P7(x2492)+~P7(x2491)+~P12(x2493,x2492)+~P12(x2491,x2493)+P12(x2491,x2492)+~P7(x2493)
% 123.19/123.21 [250]~P6(x2502)+~P6(x2501)+~P9(x2503,x2502)+~P9(x2501,x2503)+P9(x2501,x2502)+~P6(x2503)
% 123.19/123.21 [251]~P6(x2512)+~P6(x2511)+~P10(x2513,x2512)+~P10(x2511,x2513)+P10(x2511,x2512)+~P6(x2513)
% 123.19/123.21 [252]~P6(x2522)+~P6(x2521)+~P11(x2523,x2522)+~P11(x2521,x2523)+P11(x2521,x2522)+~P6(x2523)
% 123.19/123.21 [253]~P7(x2532)+~P7(x2531)+~P13(x2533,x2532)+~P13(x2531,x2533)+P13(x2531,x2532)+~P7(x2533)
% 123.19/123.21 [254]~P7(x2542)+~P7(x2541)+~P13(x2541,x2543)+~P16(x2543,x2542)+P16(x2541,x2542)+~P7(x2543)
% 123.19/123.21 [255]~P7(x2552)+~P7(x2551)+~P16(x2553,x2552)+~P16(x2551,x2553)+P16(x2551,x2552)+~P7(x2553)
% 123.19/123.21 [256]~P7(x2562)+~P7(x2561)+~P14(x2563,x2562)+~P14(x2561,x2563)+P14(x2561,x2562)+~P7(x2563)
% 123.19/123.21 [268]~P6(x2683)+~P7(x2682)+~P7(x2681)+E(x2681,x2682)+P15(x2683,x2682)+~P15(f4(x2681,x2683),x2682)
% 123.19/123.21 [271]~P6(x2711)+~P6(x2713)+~P7(x2712)+P15(x2711,x2712)+P15(x2713,x2712)+~P15(f5(x2713,x2711),x2712)
% 123.19/123.21 [245]~P6(x2452)+~P6(x2451)+~P7(x2454)+~P7(x2453)+E(x2451,x2452)+~E(f4(x2453,x2451),f4(x2454,x2452))
% 123.19/123.21 [246]~P6(x2464)+~P6(x2463)+~P7(x2462)+~P7(x2461)+E(x2461,x2462)+~E(f4(x2461,x2463),f4(x2462,x2464))
% 123.19/123.21 [273]~P7(x2732)+~P7(x2731)+E(x2731,x2732)+~P6(x2733)+~P6(x2734)+~P11(f4(x2731,x2734),f4(x2732,x2733))
% 123.19/123.21 [275]~P6(x2752)+~P6(x2751)+P11(x2751,x2752)+~P7(x2753)+~P7(x2754)+~P11(f4(x2754,x2751),f4(x2753,x2752))
% 123.19/123.21 [269]~P6(x2691)+~P6(x2694)+~P6(x2693)+~P7(x2692)+P15(x2691,x2692)+~E(f5(x2693,f4(x2692,x2694)),x2691)
% 123.19/123.21 [270]~P6(x2701)+~P6(x2704)+~P6(x2702)+~P6(x2703)+P9(x2701,x2702)+~E(f5(f5(x2703,x2702),x2704),x2701)
% 123.19/123.21 [274]~P6(x2741)+~P6(x2743)+~P6(x2744)+~P6(x2742)+~P9(x2742,x2744)+P9(f5(f5(x2741,x2742),x2743),x2744)
% 123.19/123.21 [208]~P6(x2082)+~P6(x2081)+E(x2081,x2082)+E(a3,x2082)+E(a3,x2081)+~E(f56(x2081),f56(x2082))+~E(f6(x2081),f6(x2082))
% 123.19/123.21 [272]~E(x2721,x2723)+~P6(x2724)+~P6(x2722)+~P7(x2723)+~P7(x2721)+~P11(x2722,x2724)+P11(f4(x2721,x2722),f4(x2723,x2724))
% 123.19/123.21 [286]~P2(x2865)+~P6(x2865)+~P6(x2864)+~P6(x2863)+~P6(x2861)+~P7(x2862)+~E(f5(f5(x2861,f4(x2862,x2863)),f4(x2862,x2864)),x2865)
% 123.19/123.21 [279]~P1(x2795)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+E(x2791,x2792)+~E(f5(x2793,f4(x2791,f4(x2792,x2794))),x2795)
% 123.19/123.21 [287]~P18(x2876)+~P6(x2876)+~P6(x2875)+~P6(x2874)+~P6(x2873)+~P7(x2872)+~P7(x2871)+P13(x2871,x2872)+~E(f5(f5(x2873,f4(x2871,x2874)),f4(x2872,x2875)),x2876)
% 123.19/123.21 [288]~P4(x2886)+~P6(x2886)+~P6(x2885)+~P6(x2884)+~P6(x2883)+~P7(x2882)+~P7(x2881)+P16(x2881,x2882)+~E(f5(f5(x2883,f4(x2881,x2884)),f4(x2882,x2885)),x2886)
% 123.19/123.21 [289]P13(x2892,x2891)+~P19(x2896)+~P6(x2896)+~P6(x2895)+~P6(x2894)+~P6(x2893)+~P7(x2891)+~P7(x2892)+P13(x2891,x2892)+~E(f5(f5(x2893,f4(x2892,x2894)),f4(x2891,x2895)),x2896)
% 123.19/123.21 [290]P16(x2902,x2901)+~P5(x2906)+~P6(x2906)+~P6(x2905)+~P6(x2904)+~P6(x2903)+~P7(x2901)+~P7(x2902)+P16(x2901,x2902)+~E(f5(f5(x2903,f4(x2902,x2904)),f4(x2901,x2905)),x2906)
% 123.19/123.21 [291]~P3(x2916)+~P6(x2916)+~P6(x2915)+~P6(x2913)+~P6(x2911)+~P7(x2914)+~P7(x2912)+~P13(x2914,x2912)+~P13(x2912,x2914)+~E(f5(f5(x2911,f4(x2912,x2913)),f4(x2914,x2915)),x2916)
% 123.19/123.21 %EqnAxiom
% 123.19/123.21 [1]E(x11,x11)
% 123.19/123.21 [2]E(x22,x21)+~E(x21,x22)
% 123.19/123.21 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 123.19/123.21 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 123.19/123.21 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 123.19/123.21 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 123.19/123.21 [7]~E(x71,x72)+E(f17(x71),f17(x72))
% 123.19/123.21 [8]~E(x81,x82)+E(f18(x81),f18(x82))
% 123.19/123.21 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 123.19/123.21 [10]~E(x101,x102)+E(f20(x101),f20(x102))
% 123.19/123.21 [11]~E(x111,x112)+E(f21(x111),f21(x112))
% 123.19/123.21 [12]~E(x121,x122)+E(f22(x121),f22(x122))
% 123.19/123.21 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 123.19/123.21 [14]~E(x141,x142)+E(f24(x141),f24(x142))
% 123.19/123.21 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 123.19/123.21 [16]~E(x161,x162)+E(f26(x161),f26(x162))
% 123.19/123.21 [17]~E(x171,x172)+E(f27(x171),f27(x172))
% 123.19/123.21 [18]~E(x181,x182)+E(f28(x181),f28(x182))
% 123.19/123.21 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 123.19/123.21 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 123.19/123.21 [21]~E(x211,x212)+E(f31(x211),f31(x212))
% 123.19/123.21 [22]~E(x221,x222)+E(f32(x221),f32(x222))
% 123.19/123.21 [23]~E(x231,x232)+E(f33(x231),f33(x232))
% 123.19/123.21 [24]~E(x241,x242)+E(f34(x241),f34(x242))
% 123.19/123.21 [25]~E(x251,x252)+E(f55(x251),f55(x252))
% 123.19/123.21 [26]~E(x261,x262)+E(f53(x261),f53(x262))
% 123.19/123.21 [27]~E(x271,x272)+E(f54(x271),f54(x272))
% 123.19/123.21 [28]~E(x281,x282)+E(f52(x281),f52(x282))
% 123.19/123.21 [29]~E(x291,x292)+E(f50(x291),f50(x292))
% 123.19/123.21 [30]~E(x301,x302)+E(f51(x301),f51(x302))
% 123.19/123.21 [31]~E(x311,x312)+E(f48(x311),f48(x312))
% 123.19/123.21 [32]~E(x321,x322)+E(f49(x321),f49(x322))
% 123.19/123.21 [33]~E(x331,x332)+E(f46(x331),f46(x332))
% 123.19/123.21 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 123.19/123.21 [35]~E(x351,x352)+E(f44(x351),f44(x352))
% 123.19/123.21 [36]~E(x361,x362)+E(f45(x361),f45(x362))
% 123.19/123.21 [37]~E(x371,x372)+E(f35(x371),f35(x372))
% 123.19/123.21 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 123.19/123.21 [39]~E(x391,x392)+E(f37(x391),f37(x392))
% 123.19/123.21 [40]~E(x401,x402)+E(f40(x401,x403),f40(x402,x403))
% 123.19/123.21 [41]~E(x411,x412)+E(f40(x413,x411),f40(x413,x412))
% 123.19/123.21 [42]~E(x421,x422)+E(f41(x421,x423),f41(x422,x423))
% 123.19/123.21 [43]~E(x431,x432)+E(f41(x433,x431),f41(x433,x432))
% 123.19/123.21 [44]~E(x441,x442)+E(f42(x441,x443),f42(x442,x443))
% 123.19/123.21 [45]~E(x451,x452)+E(f42(x453,x451),f42(x453,x452))
% 123.19/123.21 [46]~E(x461,x462)+E(f43(x461,x463),f43(x462,x463))
% 123.19/123.21 [47]~E(x471,x472)+E(f43(x473,x471),f43(x473,x472))
% 123.19/123.21 [48]~E(x481,x482)+E(f38(x481,x483),f38(x482,x483))
% 123.19/123.21 [49]~E(x491,x492)+E(f38(x493,x491),f38(x493,x492))
% 123.19/123.21 [50]~E(x501,x502)+E(f39(x501,x503),f39(x502,x503))
% 123.19/123.21 [51]~E(x511,x512)+E(f39(x513,x511),f39(x513,x512))
% 123.19/123.21 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 123.19/123.21 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 123.19/123.21 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 123.19/123.21 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 123.19/123.21 [56]~E(x561,x562)+E(f56(x561),f56(x562))
% 123.19/123.21 [57]~E(x571,x572)+E(f6(x571),f6(x572))
% 123.19/123.21 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 123.19/123.21 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 123.19/123.21 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 123.19/123.21 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 123.19/123.21 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 123.19/123.21 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 123.19/123.21 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 123.19/123.21 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 123.19/123.21 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 123.19/123.21 [67]P12(x672,x673)+~E(x671,x672)+~P12(x671,x673)
% 123.19/123.21 [68]P12(x683,x682)+~E(x681,x682)+~P12(x683,x681)
% 123.19/123.21 [69]P13(x692,x693)+~E(x691,x692)+~P13(x691,x693)
% 123.19/123.21 [70]P13(x703,x702)+~E(x701,x702)+~P13(x703,x701)
% 123.19/123.21 [71]P16(x712,x713)+~E(x711,x712)+~P16(x711,x713)
% 123.19/123.21 [72]P16(x723,x722)+~E(x721,x722)+~P16(x723,x721)
% 123.19/123.21 [73]P11(x732,x733)+~E(x731,x732)+~P11(x731,x733)
% 123.19/123.21 [74]P11(x743,x742)+~E(x741,x742)+~P11(x743,x741)
% 123.19/123.21 [75]P10(x752,x753)+~E(x751,x752)+~P10(x751,x753)
% 123.19/123.21 [76]P10(x763,x762)+~E(x761,x762)+~P10(x763,x761)
% 123.19/123.21 [77]P14(x772,x773)+~E(x771,x772)+~P14(x771,x773)
% 123.19/123.21 [78]P14(x783,x782)+~E(x781,x782)+~P14(x783,x781)
% 123.19/123.21 [79]~P8(x791)+P8(x792)+~E(x791,x792)
% 123.19/123.21 [80]P17(x802,x803)+~E(x801,x802)+~P17(x801,x803)
% 123.19/123.21 [81]P17(x813,x812)+~E(x811,x812)+~P17(x813,x811)
% 123.19/123.21 [82]P15(x822,x823)+~E(x821,x822)+~P15(x821,x823)
% 123.19/123.21 [83]P15(x833,x832)+~E(x831,x832)+~P15(x833,x831)
% 123.19/123.21 [84]P9(x842,x843)+~E(x841,x842)+~P9(x841,x843)
% 123.19/123.21 [85]P9(x853,x852)+~E(x851,x852)+~P9(x853,x851)
% 123.19/123.21
% 123.19/123.21 %-------------------------------------------
% 123.19/123.22 cnf(296,plain,
% 123.19/123.22 (~P17(x2961,x2961)+~P6(x2961)+~P6(x2961)),
% 123.19/123.22 inference(equality_inference,[],[201])).
% 123.19/123.22 cnf(298,plain,
% 123.19/123.22 (~P17(x2981,x2981)+~P7(x2981)+~P7(x2981)),
% 123.19/123.22 inference(equality_inference,[],[203])).
% 123.19/123.22 cnf(301,plain,
% 123.19/123.22 (P10(f5(x3011,x3012),x3012)+~P6(f5(x3011,x3012))+~P6(x3012)+~P6(x3011)),
% 123.19/123.22 inference(equality_inference,[],[231])).
% 123.19/123.22 cnf(302,plain,
% 123.19/123.22 (P11(f5(x3021,x3022),x3021)+~P6(f5(x3021,x3022))+~P6(x3022)+~P6(x3021)),
% 123.19/123.22 inference(equality_inference,[],[232])).
% 123.19/123.22 cnf(303,plain,
% 123.19/123.22 (~P7(x3031)+~P7(x3031)+~P6(x3032)+P15(f4(x3031,x3032),x3031)),
% 123.19/123.22 inference(equality_inference,[],[239])).
% 123.19/123.22 cnf(308,plain,
% 123.19/123.22 (P15(f5(x3081,f4(x3082,x3083)),x3082)+~P6(f5(x3081,f4(x3082,x3083)))+~P6(x3083)+~P6(x3081)+~P7(x3082)),
% 123.19/123.22 inference(equality_inference,[],[269])).
% 123.19/123.22 cnf(309,plain,
% 123.19/123.22 (P9(f5(f5(x3091,x3092),x3093),x3092)+~P6(f5(f5(x3091,x3092),x3093))+~P6(x3093)+~P6(x3092)+~P6(x3091)),
% 123.19/123.22 inference(equality_inference,[],[270])).
% 123.19/123.22 cnf(310,plain,
% 123.19/123.22 (~P7(x3101)+~P7(x3101)+~P11(x3102,x3103)+~P6(x3103)+~P6(x3102)+P11(f4(x3101,x3102),f4(x3101,x3103))),
% 123.19/123.22 inference(equality_inference,[],[272])).
% 123.19/123.22 cnf(318,plain,
% 123.19/123.22 (E(a2,a1)),
% 123.19/123.22 inference(scs_inference,[],[86,2])).
% 123.19/123.22 cnf(319,plain,
% 123.19/123.22 (~P16(a9,a9)),
% 123.19/123.22 inference(scs_inference,[],[86,100,2,178])).
% 123.19/123.22 cnf(321,plain,
% 123.19/123.22 (~P17(a2,a2)),
% 123.19/123.22 inference(scs_inference,[],[86,96,100,2,178,296])).
% 123.19/123.22 cnf(325,plain,
% 123.19/123.22 (~P4(a1)),
% 123.19/123.22 inference(scs_inference,[],[86,96,145,100,2,178,296,298,60])).
% 123.19/123.22 cnf(326,plain,
% 123.19/123.22 (E(x3261,a8)+~E(x3261,a7)),
% 123.19/123.22 inference(scs_inference,[],[86,87,96,145,100,2,178,296,298,60,3])).
% 123.19/123.22 cnf(345,plain,
% 123.19/123.22 (E(a8,a7)),
% 123.19/123.23 inference(scs_inference,[],[87,2])).
% 123.19/123.23 cnf(346,plain,
% 123.19/123.23 (~P16(a10,a10)),
% 123.19/123.23 inference(scs_inference,[],[87,101,2,178])).
% 123.19/123.23 cnf(350,plain,
% 123.19/123.23 (~P17(a7,a7)),
% 123.19/123.23 inference(scs_inference,[],[87,97,101,2,178,298,296])).
% 123.19/123.23 cnf(358,plain,
% 123.19/123.23 (~P16(f55(x3581),f55(x3581))),
% 123.19/123.23 inference(scs_inference,[],[123,178])).
% 123.19/123.23 cnf(360,plain,
% 123.19/123.23 (~P17(a1,a1)),
% 123.19/123.23 inference(scs_inference,[],[98,123,178,296])).
% 123.19/123.23 cnf(362,plain,
% 123.19/123.23 (~P17(f55(x3621),f55(x3621))),
% 123.19/123.23 inference(scs_inference,[],[98,123,178,296,298])).
% 123.19/123.23 cnf(365,plain,
% 123.19/123.23 (~P1(a1)+P1(a2)),
% 123.19/123.23 inference(scs_inference,[],[86,87,98,123,178,296,298,60,58])).
% 123.19/123.23 cnf(370,plain,
% 123.19/123.23 (~P16(f53(x3701),f53(x3701))),
% 123.19/123.23 inference(scs_inference,[],[124,178])).
% 123.19/123.23 cnf(372,plain,
% 123.19/123.23 (~P17(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,124,178,296])).
% 123.19/123.23 cnf(374,plain,
% 123.19/123.23 (~P17(f53(x3741),f53(x3741))),
% 123.19/123.23 inference(scs_inference,[],[99,124,178,296,298])).
% 123.19/123.23 cnf(382,plain,
% 123.19/123.23 (~P16(f54(x3821),f54(x3821))),
% 123.19/123.23 inference(scs_inference,[],[125,178])).
% 123.19/123.23 cnf(386,plain,
% 123.19/123.23 (~P17(f54(x3861),f54(x3861))),
% 123.19/123.23 inference(scs_inference,[],[95,125,178,296,298])).
% 123.19/123.23 cnf(394,plain,
% 123.19/123.23 (~P16(f52(x3941),f52(x3941))),
% 123.19/123.23 inference(scs_inference,[],[126,178])).
% 123.19/123.23 cnf(396,plain,
% 123.19/123.23 (~P17(f14(x3961),f14(x3961))),
% 123.19/123.23 inference(scs_inference,[],[102,126,178,296])).
% 123.19/123.23 cnf(398,plain,
% 123.19/123.23 (~P17(f52(x3981),f52(x3981))),
% 123.19/123.23 inference(scs_inference,[],[102,126,178,296,298])).
% 123.19/123.23 cnf(406,plain,
% 123.19/123.23 (~P16(f50(x4061),f50(x4061))),
% 123.19/123.23 inference(scs_inference,[],[127,178])).
% 123.19/123.23 cnf(408,plain,
% 123.19/123.23 (~P17(f15(x4081),f15(x4081))),
% 123.19/123.23 inference(scs_inference,[],[103,127,178,296])).
% 123.19/123.23 cnf(410,plain,
% 123.19/123.23 (~P17(f50(x4101),f50(x4101))),
% 123.19/123.23 inference(scs_inference,[],[103,127,178,296,298])).
% 123.19/123.23 cnf(416,plain,
% 123.19/123.23 (~P16(f51(x4161),f51(x4161))),
% 123.19/123.23 inference(scs_inference,[],[128,178])).
% 123.19/123.23 cnf(418,plain,
% 123.19/123.23 (~P17(f16(x4181),f16(x4181))),
% 123.19/123.23 inference(scs_inference,[],[104,128,178,296])).
% 123.19/123.23 cnf(420,plain,
% 123.19/123.23 (~P17(f51(x4201),f51(x4201))),
% 123.19/123.23 inference(scs_inference,[],[104,128,178,296,298])).
% 123.19/123.23 cnf(426,plain,
% 123.19/123.23 (~P16(f48(x4261),f48(x4261))),
% 123.19/123.23 inference(scs_inference,[],[129,178])).
% 123.19/123.23 cnf(428,plain,
% 123.19/123.23 (~P17(f17(x4281),f17(x4281))),
% 123.19/123.23 inference(scs_inference,[],[105,129,178,296])).
% 123.19/123.23 cnf(436,plain,
% 123.19/123.23 (~P16(f49(x4361),f49(x4361))),
% 123.19/123.23 inference(scs_inference,[],[130,178])).
% 123.19/123.23 cnf(446,plain,
% 123.19/123.23 (~P16(f46(x4461),f46(x4461))),
% 123.19/123.23 inference(scs_inference,[],[131,178])).
% 123.19/123.23 cnf(448,plain,
% 123.19/123.23 (~P17(f19(x4481),f19(x4481))),
% 123.19/123.23 inference(scs_inference,[],[107,131,178,296])).
% 123.19/123.23 cnf(455,plain,
% 123.19/123.23 (~P16(f47(x4551),f47(x4551))),
% 123.19/123.23 inference(scs_inference,[],[132,178])).
% 123.19/123.23 cnf(465,plain,
% 123.19/123.23 (~P16(f44(x4651),f44(x4651))),
% 123.19/123.23 inference(scs_inference,[],[133,178])).
% 123.19/123.23 cnf(467,plain,
% 123.19/123.23 (~P17(f21(x4671),f21(x4671))),
% 123.19/123.23 inference(scs_inference,[],[109,133,178,296])).
% 123.19/123.23 cnf(475,plain,
% 123.19/123.23 (~P16(f45(x4751),f45(x4751))),
% 123.19/123.23 inference(scs_inference,[],[134,178])).
% 123.19/123.23 cnf(485,plain,
% 123.19/123.23 (~P16(f35(x4851),f35(x4851))),
% 123.19/123.23 inference(scs_inference,[],[135,178])).
% 123.19/123.23 cnf(487,plain,
% 123.19/123.23 (~P17(f23(x4871),f23(x4871))),
% 123.19/123.23 inference(scs_inference,[],[111,135,178,296])).
% 123.19/123.23 cnf(495,plain,
% 123.19/123.23 (~P16(f36(x4951),f36(x4951))),
% 123.19/123.23 inference(scs_inference,[],[136,178])).
% 123.19/123.23 cnf(506,plain,
% 123.19/123.23 (~P16(f37(x5061),f37(x5061))),
% 123.19/123.23 inference(scs_inference,[],[137,178])).
% 123.19/123.23 cnf(508,plain,
% 123.19/123.23 (~P17(f25(x5081),f25(x5081))),
% 123.19/123.23 inference(scs_inference,[],[113,137,178,296])).
% 123.19/123.23 cnf(514,plain,
% 123.19/123.23 (P10(f5(a8,a8),a7)+~P6(f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[99,345,113,137,178,296,298,301,75,76])).
% 123.19/123.23 cnf(520,plain,
% 123.19/123.23 (P11(f5(a8,a8),a7)+~P6(f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[99,345,114,296,302,74])).
% 123.19/123.23 cnf(522,plain,
% 123.19/123.23 (~P17(f27(x5221),f27(x5221))),
% 123.19/123.23 inference(scs_inference,[],[115,296])).
% 123.19/123.23 cnf(532,plain,
% 123.19/123.23 (~P17(f29(x5321),f29(x5321))),
% 123.19/123.23 inference(scs_inference,[],[117,296])).
% 123.19/123.23 cnf(542,plain,
% 123.19/123.23 (~P17(f31(x5421),f31(x5421))),
% 123.19/123.23 inference(scs_inference,[],[119,296])).
% 123.19/123.23 cnf(552,plain,
% 123.19/123.23 (~P17(f33(x5521),f33(x5521))),
% 123.19/123.23 inference(scs_inference,[],[121,296])).
% 123.19/123.23 cnf(562,plain,
% 123.19/123.23 (~P17(f40(x5621,x5622),f40(x5621,x5622))),
% 123.19/123.23 inference(scs_inference,[],[138,296])).
% 123.19/123.23 cnf(886,plain,
% 123.19/123.23 (~P6(f5(f5(f34(x8861),f34(x8861)),f34(x8861)))+P9(f5(f5(f34(x8861),f34(x8861)),f34(x8861)),x8862)+~E(f34(x8861),x8862)),
% 123.19/123.23 inference(scs_inference,[],[87,122,309,85])).
% 123.19/123.23 cnf(1210,plain,
% 123.19/123.23 (~P6(f5(f14(x12101),f4(f36(x12102),f14(x12101))))+P15(f5(f14(x12101),f4(f36(x12102),f14(x12101))),x12103)+~E(f36(x12102),x12103)),
% 123.19/123.23 inference(scs_inference,[],[87,136,102,308,83])).
% 123.19/123.23 cnf(1233,plain,
% 123.19/123.23 (~P6(f5(f15(x12331),f4(f52(x12332),f15(x12331))))+P15(f5(f15(x12331),f4(f52(x12332),f15(x12331))),x12333)+~E(f52(x12332),x12333)),
% 123.19/123.23 inference(scs_inference,[],[87,126,103,308,83])).
% 123.19/123.23 cnf(1247,plain,
% 123.19/123.23 (~P6(f5(f18(x12471),f4(f49(x12472),f18(x12471))))+P15(f5(f18(x12471),f4(f49(x12472),f18(x12471))),x12473)+~E(f49(x12472),x12473)),
% 123.19/123.23 inference(scs_inference,[],[87,130,106,308,83])).
% 123.19/123.23 cnf(1286,plain,
% 123.19/123.23 (~P6(f5(f18(x12861),f4(f54(x12862),f18(x12861))))+P15(f5(f18(x12861),f4(f54(x12862),f18(x12861))),x12863)+~E(f54(x12862),x12863)),
% 123.19/123.23 inference(scs_inference,[],[87,125,106,308,83])).
% 123.19/123.23 cnf(1313,plain,
% 123.19/123.23 (~P6(f5(f20(x13131),f4(f44(x13132),f20(x13131))))+P15(f5(f20(x13131),f4(f44(x13132),f20(x13131))),x13133)+~E(f44(x13132),x13133)),
% 123.19/123.23 inference(scs_inference,[],[87,133,108,308,83])).
% 123.19/123.23 cnf(1326,plain,
% 123.19/123.23 (~P6(f5(f20(x13261),f4(f37(x13262),f20(x13261))))+P15(f5(f20(x13261),f4(f37(x13262),f20(x13261))),x13263)+~E(f37(x13262),x13263)),
% 123.19/123.23 inference(scs_inference,[],[87,137,108,308,83])).
% 123.19/123.23 cnf(1339,plain,
% 123.19/123.23 (~P6(f5(f20(x13391),f4(f53(x13392),f20(x13391))))+P15(f5(f20(x13391),f4(f53(x13392),f20(x13391))),x13393)+~E(f53(x13392),x13393)),
% 123.19/123.23 inference(scs_inference,[],[87,124,108,308,83])).
% 123.19/123.23 cnf(1365,plain,
% 123.19/123.23 (~P6(f5(f22(x13651),f4(f47(x13652),f22(x13651))))+P15(f5(f22(x13651),f4(f47(x13652),f22(x13651))),x13653)+~E(f47(x13652),x13653)),
% 123.19/123.23 inference(scs_inference,[],[87,132,110,308,83])).
% 123.19/123.23 cnf(1378,plain,
% 123.19/123.23 (~P6(f5(f22(x13781),f4(f36(x13782),f22(x13781))))+P15(f5(f22(x13781),f4(f36(x13782),f22(x13781))),x13783)+~E(f36(x13782),x13783)),
% 123.19/123.23 inference(scs_inference,[],[87,136,110,308,83])).
% 123.19/123.23 cnf(1880,plain,
% 123.19/123.23 (~P6(f5(f29(x18801),f4(f48(x18802),f29(x18801))))+P15(x18803,f48(x18802))+~E(f5(f29(x18801),f4(f48(x18802),f29(x18801))),x18803)),
% 123.19/123.23 inference(scs_inference,[],[86,117,129,308,82])).
% 123.19/123.23 cnf(2389,plain,
% 123.19/123.23 (P9(a8,a3)),
% 123.19/123.23 inference(scs_inference,[],[87,97,160,65])).
% 123.19/123.23 cnf(2394,plain,
% 123.19/123.23 (P11(f4(f46(x23941),a8),f4(f46(x23941),a8))+~P11(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,345,95,131,2389,84,85,233,310])).
% 123.19/123.23 cnf(2501,plain,
% 123.19/123.23 (P11(f5(a8,a8),a3)),
% 123.19/123.23 inference(scs_inference,[],[99,162,205])).
% 123.19/123.23 cnf(2503,plain,
% 123.19/123.23 (P11(x25031,a3)+~E(f5(a8,a8),x25031)),
% 123.19/123.23 inference(scs_inference,[],[2501,74,73])).
% 123.19/123.23 cnf(2534,plain,
% 123.19/123.23 (P11(f4(f53(x25341),a8),f4(f53(x25341),a8))+~P11(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,124,310])).
% 123.19/123.23 cnf(2552,plain,
% 123.19/123.23 (P13(f49(x25521),f49(x25521))),
% 123.19/123.23 inference(scs_inference,[],[130,165,217])).
% 123.19/123.23 cnf(2553,plain,
% 123.19/123.23 (P12(f49(x25531),f49(x25531))),
% 123.19/123.23 inference(scs_inference,[],[130,2552,216])).
% 123.19/123.23 cnf(2556,plain,
% 123.19/123.23 (P12(x25561,f49(x25562))+~E(f49(x25562),x25561)),
% 123.19/123.23 inference(scs_inference,[],[130,2552,216,67])).
% 123.19/123.23 cnf(2561,plain,
% 123.19/123.23 (P13(f49(x25611),x25612)+~E(f49(x25611),x25612)),
% 123.19/123.23 inference(scs_inference,[],[2552,70])).
% 123.19/123.23 cnf(2568,plain,
% 123.19/123.23 (P13(x25681,f49(x25682))+~E(f49(x25682),x25681)),
% 123.19/123.23 inference(scs_inference,[],[2552,69])).
% 123.19/123.23 cnf(2574,plain,
% 123.19/123.23 (P12(f49(x25741),x25742)+~E(f49(x25741),x25742)),
% 123.19/123.23 inference(scs_inference,[],[2553,68])).
% 123.19/123.23 cnf(2620,plain,
% 123.19/123.23 (P9(a2,a1)),
% 123.19/123.23 inference(scs_inference,[],[98,86,166,84])).
% 123.19/123.23 cnf(2621,plain,
% 123.19/123.23 (P9(a2,a2)),
% 123.19/123.23 inference(scs_inference,[],[86,2620,85])).
% 123.19/123.23 cnf(2622,plain,
% 123.19/123.23 (P9(a1,a1)),
% 123.19/123.23 inference(scs_inference,[],[86,318,2620,85,84])).
% 123.19/123.23 cnf(2677,plain,
% 123.19/123.23 (P10(a2,a1)),
% 123.19/123.23 inference(scs_inference,[],[98,86,167,75])).
% 123.19/123.23 cnf(2678,plain,
% 123.19/123.23 (P10(a1,a1)),
% 123.19/123.23 inference(scs_inference,[],[318,2677,75])).
% 123.19/123.23 cnf(2679,plain,
% 123.19/123.23 (P10(a2,a2)),
% 123.19/123.23 inference(scs_inference,[],[86,318,2677,75,76])).
% 123.19/123.23 cnf(2735,plain,
% 123.19/123.23 (P11(f4(f46(x27351),a8),f4(f46(x27351),a8))),
% 123.19/123.23 inference(scs_inference,[],[99,168,2394])).
% 123.19/123.23 cnf(2736,plain,
% 123.19/123.23 (P11(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,2735,131,275])).
% 123.19/123.23 cnf(2737,plain,
% 123.19/123.23 (P11(f4(f46(x27371),a8),f4(f46(x27371),a8))),
% 123.19/123.23 inference(rename_variables,[],[2735])).
% 123.19/123.23 cnf(2742,plain,
% 123.19/123.23 (P11(a7,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,345,2735,2737,123,131,275,310,74,73])).
% 123.19/123.23 cnf(2754,plain,
% 123.19/123.23 (P11(f4(f53(x27541),a8),f4(f53(x27541),a8))),
% 123.19/123.23 inference(scs_inference,[],[2736,2534])).
% 123.19/123.23 cnf(2755,plain,
% 123.19/123.23 (P11(a7,a7)),
% 123.19/123.23 inference(scs_inference,[],[345,2742,74])).
% 123.19/123.23 cnf(2766,plain,
% 123.19/123.23 (P11(a8,a7)),
% 123.19/123.23 inference(scs_inference,[],[87,2755,73])).
% 123.19/123.23 cnf(2837,plain,
% 123.19/123.23 (P12(f36(x28371),f36(x28371))),
% 123.19/123.23 inference(scs_inference,[],[136,169,216])).
% 123.19/123.23 cnf(2838,plain,
% 123.19/123.23 (P13(f36(x28381),f36(x28381))),
% 123.19/123.23 inference(scs_inference,[],[136,2837,217])).
% 123.19/123.23 cnf(2839,plain,
% 123.19/123.23 (P12(f36(x28391),f36(x28391))),
% 123.19/123.23 inference(rename_variables,[],[2837])).
% 123.19/123.23 cnf(2843,plain,
% 123.19/123.23 (P12(x28431,f36(x28432))+~E(f36(x28432),x28431)),
% 123.19/123.23 inference(scs_inference,[],[97,2755,100,136,2837,2839,217,310,67])).
% 123.19/123.23 cnf(2844,plain,
% 123.19/123.23 (P13(f36(x28441),x28442)+~E(f36(x28441),x28442)),
% 123.19/123.23 inference(scs_inference,[],[97,2755,100,136,2837,2839,217,310,67,70])).
% 123.19/123.23 cnf(2845,plain,
% 123.19/123.23 (P12(f36(x28451),x28452)+~E(f36(x28451),x28452)),
% 123.19/123.23 inference(scs_inference,[],[97,2755,100,136,2837,2839,217,310,67,70,68])).
% 123.19/123.23 cnf(2846,plain,
% 123.19/123.23 (P13(x28461,f36(x28462))+~E(f36(x28462),x28461)),
% 123.19/123.23 inference(scs_inference,[],[97,2755,100,136,2837,2839,217,310,67,70,68,69])).
% 123.19/123.23 cnf(2866,plain,
% 123.19/123.23 (P11(f4(a9,a8),f4(a9,a8))),
% 123.19/123.23 inference(scs_inference,[],[99,100,2736,310])).
% 123.19/123.23 cnf(3079,plain,
% 123.19/123.23 (P11(x30791,f4(a9,a8))+~E(f4(a9,a8),x30791)),
% 123.19/123.23 inference(scs_inference,[],[2866,73])).
% 123.19/123.23 cnf(4175,plain,
% 123.19/123.23 (E(a1,a3)+P19(f4(a12,a3))),
% 123.19/123.23 inference(scs_inference,[],[190,149])).
% 123.19/123.23 cnf(5033,plain,
% 123.19/123.23 (P11(f4(a9,a7),f4(a9,a8))),
% 123.19/123.23 inference(scs_inference,[],[97,99,2742,100,310])).
% 123.19/123.23 cnf(5136,plain,
% 123.19/123.23 (P11(x51361,f4(a9,a8))+~E(f4(a9,a7),x51361)),
% 123.19/123.23 inference(scs_inference,[],[5033,73])).
% 123.19/123.23 cnf(5470,plain,
% 123.19/123.23 (P11(f4(a10,a8),f4(a10,a7))),
% 123.19/123.23 inference(scs_inference,[],[97,99,2766,101,310])).
% 123.19/123.23 cnf(5556,plain,
% 123.19/123.23 (P11(f4(a10,a8),x55561)+~E(f4(a10,a7),x55561)),
% 123.19/123.23 inference(scs_inference,[],[5470,74])).
% 123.19/123.23 cnf(6162,plain,
% 123.19/123.23 (P12(f53(x61621),f53(x61621))),
% 123.19/123.23 inference(scs_inference,[],[124,165])).
% 123.19/123.23 cnf(6164,plain,
% 123.19/123.23 (P9(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,124,165,166])).
% 123.19/123.23 cnf(6166,plain,
% 123.19/123.23 (P10(a8,a8)),
% 123.19/123.23 inference(scs_inference,[],[99,124,165,166,167])).
% 123.19/123.23 cnf(6168,plain,
% 123.19/123.23 (P13(f53(x61681),f53(x61681))),
% 123.19/123.23 inference(scs_inference,[],[99,124,165,166,167,169])).
% 123.19/123.23 cnf(6170,plain,
% 123.19/123.23 (P9(f39(x61701,x61702),a3)),
% 123.19/123.23 inference(scs_inference,[],[99,143,124,165,166,167,169,160])).
% 123.19/123.23 cnf(6176,plain,
% 123.19/123.23 (~P15(a3,f53(x61761))),
% 123.19/123.23 inference(scs_inference,[],[99,143,124,165,166,167,169,160,161,162,174])).
% 123.19/123.23 cnf(6182,plain,
% 123.19/123.23 (P4(f4(f53(x61821),a3))),
% 123.19/123.23 inference(scs_inference,[],[99,143,124,165,166,167,169,160,161,162,174,185,186,187])).
% 123.19/123.23 cnf(6192,plain,
% 123.19/123.23 (E(f5(a8,a3),a8)),
% 123.19/123.23 inference(scs_inference,[],[99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163])).
% 123.19/123.23 cnf(6194,plain,
% 123.19/123.23 (E(f5(a3,a8),a8)),
% 123.19/123.23 inference(scs_inference,[],[99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164])).
% 123.19/123.23 cnf(6196,plain,
% 123.19/123.23 (E(f14(a1),f14(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4])).
% 123.19/123.23 cnf(6197,plain,
% 123.19/123.23 (E(f15(a1),f15(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5])).
% 123.19/123.23 cnf(6198,plain,
% 123.19/123.23 (E(f16(a1),f16(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6])).
% 123.19/123.23 cnf(6199,plain,
% 123.19/123.23 (E(f17(a1),f17(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7])).
% 123.19/123.23 cnf(6200,plain,
% 123.19/123.23 (E(f18(a1),f18(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8])).
% 123.19/123.23 cnf(6201,plain,
% 123.19/123.23 (E(f19(a1),f19(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9])).
% 123.19/123.23 cnf(6202,plain,
% 123.19/123.23 (E(f20(a1),f20(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10])).
% 123.19/123.23 cnf(6203,plain,
% 123.19/123.23 (E(f21(a1),f21(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11])).
% 123.19/123.23 cnf(6204,plain,
% 123.19/123.23 (E(f22(a1),f22(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12])).
% 123.19/123.23 cnf(6205,plain,
% 123.19/123.23 (E(f23(a1),f23(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13])).
% 123.19/123.23 cnf(6206,plain,
% 123.19/123.23 (E(f24(a1),f24(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14])).
% 123.19/123.23 cnf(6207,plain,
% 123.19/123.23 (E(f25(a1),f25(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15])).
% 123.19/123.23 cnf(6208,plain,
% 123.19/123.23 (E(f26(a1),f26(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16])).
% 123.19/123.23 cnf(6209,plain,
% 123.19/123.23 (E(f27(a1),f27(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17])).
% 123.19/123.23 cnf(6210,plain,
% 123.19/123.23 (E(f28(a1),f28(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18])).
% 123.19/123.23 cnf(6211,plain,
% 123.19/123.23 (E(f29(a1),f29(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19])).
% 123.19/123.23 cnf(6212,plain,
% 123.19/123.23 (E(f30(a1),f30(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20])).
% 123.19/123.23 cnf(6213,plain,
% 123.19/123.23 (E(f31(a1),f31(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21])).
% 123.19/123.23 cnf(6214,plain,
% 123.19/123.23 (E(f32(a1),f32(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22])).
% 123.19/123.23 cnf(6215,plain,
% 123.19/123.23 (E(f33(a1),f33(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23])).
% 123.19/123.23 cnf(6216,plain,
% 123.19/123.23 (E(f34(a1),f34(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24])).
% 123.19/123.23 cnf(6217,plain,
% 123.19/123.23 (E(f55(a1),f55(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25])).
% 123.19/123.23 cnf(6218,plain,
% 123.19/123.23 (E(f53(a1),f53(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26])).
% 123.19/123.23 cnf(6220,plain,
% 123.19/123.23 (E(f52(a1),f52(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28])).
% 123.19/123.23 cnf(6221,plain,
% 123.19/123.23 (E(f50(a1),f50(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29])).
% 123.19/123.23 cnf(6222,plain,
% 123.19/123.23 (E(f51(a1),f51(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30])).
% 123.19/123.23 cnf(6223,plain,
% 123.19/123.23 (E(f48(a1),f48(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31])).
% 123.19/123.23 cnf(6224,plain,
% 123.19/123.23 (E(f49(a1),f49(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32])).
% 123.19/123.23 cnf(6225,plain,
% 123.19/123.23 (E(f46(a1),f46(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33])).
% 123.19/123.23 cnf(6226,plain,
% 123.19/123.23 (E(f47(a1),f47(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34])).
% 123.19/123.23 cnf(6227,plain,
% 123.19/123.23 (E(f44(a1),f44(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35])).
% 123.19/123.23 cnf(6229,plain,
% 123.19/123.23 (E(f35(a1),f35(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37])).
% 123.19/123.23 cnf(6230,plain,
% 123.19/123.23 (E(f36(a1),f36(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38])).
% 123.19/123.23 cnf(6231,plain,
% 123.19/123.23 (E(f37(a1),f37(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39])).
% 123.19/123.23 cnf(6232,plain,
% 123.19/123.23 (E(f56(a1),f56(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56])).
% 123.19/123.23 cnf(6233,plain,
% 123.19/123.23 (E(f6(a1),f6(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57])).
% 123.19/123.23 cnf(6234,plain,
% 123.19/123.23 (E(f40(a1,x62341),f40(a2,x62341))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40])).
% 123.19/123.23 cnf(6235,plain,
% 123.19/123.23 (E(f40(x62351,a1),f40(x62351,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41])).
% 123.19/123.23 cnf(6236,plain,
% 123.19/123.23 (E(f41(a1,x62361),f41(a2,x62361))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42])).
% 123.19/123.23 cnf(6237,plain,
% 123.19/123.23 (E(f41(x62371,a1),f41(x62371,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43])).
% 123.19/123.23 cnf(6238,plain,
% 123.19/123.23 (E(f42(a1,x62381),f42(a2,x62381))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44])).
% 123.19/123.23 cnf(6239,plain,
% 123.19/123.23 (E(f42(x62391,a1),f42(x62391,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45])).
% 123.19/123.23 cnf(6240,plain,
% 123.19/123.23 (E(f43(a1,x62401),f43(a2,x62401))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46])).
% 123.19/123.23 cnf(6241,plain,
% 123.19/123.23 (E(f43(x62411,a1),f43(x62411,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47])).
% 123.19/123.23 cnf(6242,plain,
% 123.19/123.23 (E(f38(a1,x62421),f38(a2,x62421))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48])).
% 123.19/123.23 cnf(6243,plain,
% 123.19/123.23 (E(f38(x62431,a1),f38(x62431,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49])).
% 123.19/123.23 cnf(6247,plain,
% 123.19/123.23 (E(f4(x62471,a1),f4(x62471,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53])).
% 123.19/123.23 cnf(6248,plain,
% 123.19/123.23 (E(f5(a1,x62481),f5(a2,x62481))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54])).
% 123.19/123.23 cnf(6249,plain,
% 123.19/123.23 (E(f5(x62491,a1),f5(x62491,a2))),
% 123.19/123.23 inference(scs_inference,[],[86,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55])).
% 123.19/123.23 cnf(6250,plain,
% 123.19/123.23 (~E(a9,a10)),
% 123.19/123.23 inference(scs_inference,[],[86,144,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2])).
% 123.19/123.23 cnf(6251,plain,
% 123.19/123.23 (P11(f39(x62511,x62512),f39(x62511,x62512))),
% 123.19/123.23 inference(scs_inference,[],[86,144,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168])).
% 123.19/123.23 cnf(6253,plain,
% 123.19/123.23 (P6(f4(f53(x62531),a8))),
% 123.19/123.23 inference(scs_inference,[],[86,144,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204])).
% 123.19/123.23 cnf(6256,plain,
% 123.19/123.23 (~P16(f55(x62561),f55(x62561))),
% 123.19/123.23 inference(rename_variables,[],[358])).
% 123.19/123.23 cnf(6261,plain,
% 123.19/123.23 (~E(f4(f53(x62611),a8),a8)),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,144,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195])).
% 123.19/123.23 cnf(6263,plain,
% 123.19/123.23 (~E(f4(f53(x62631),a8),a3)),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,144,99,143,124,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194])).
% 123.19/123.23 cnf(6265,plain,
% 123.19/123.23 (~P16(f51(a1),f50(a1))),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,325,144,99,143,124,98,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221])).
% 123.19/123.23 cnf(6267,plain,
% 123.19/123.23 (E(f56(f4(f53(x62671),a8)),a8)),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,325,144,99,143,124,98,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206])).
% 123.19/123.23 cnf(6269,plain,
% 123.19/123.23 (E(f6(f4(f53(x62691),a8)),f53(x62691))),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,325,144,99,143,124,98,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207])).
% 123.19/123.23 cnf(6271,plain,
% 123.19/123.23 (E(f5(f4(f53(x62711),a3),a8),f4(f53(x62711),a8))),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,325,144,99,143,124,98,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238])).
% 123.19/123.23 cnf(6278,plain,
% 123.19/123.23 (P6(f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,325,145,144,99,143,124,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205])).
% 123.19/123.23 cnf(6280,plain,
% 123.19/123.23 (~E(a3,a1)),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,90,325,145,144,99,143,124,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60])).
% 123.19/123.23 cnf(6281,plain,
% 123.19/123.23 (P9(a8,a7)),
% 123.19/123.23 inference(scs_inference,[],[86,321,358,6256,90,325,145,144,99,143,345,124,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85])).
% 123.19/123.23 cnf(6290,plain,
% 123.19/123.23 (~P14(f53(x62901),f53(x62901))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,358,6256,90,325,145,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230])).
% 123.19/123.23 cnf(6292,plain,
% 123.19/123.23 (P15(f4(f53(x62921),a8),f53(x62921))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,358,6256,90,325,145,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303])).
% 123.19/123.23 cnf(6296,plain,
% 123.19/123.23 (~E(f5(a1,a1),a3)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,90,325,145,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198])).
% 123.19/123.23 cnf(6298,plain,
% 123.19/123.23 (E(f5(f4(f53(x62981),a8),f43(f4(f53(x62981),a8),f4(f53(x62981),a8))),f4(f53(x62981),a8))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247])).
% 123.19/123.23 cnf(6299,plain,
% 123.19/123.23 (P11(f4(f53(x62991),a8),f4(f53(x62991),a8))),
% 123.19/123.23 inference(rename_variables,[],[2754])).
% 123.19/123.23 cnf(6301,plain,
% 123.19/123.23 (E(f5(f42(a1,a1),a1),a1)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248])).
% 123.19/123.23 cnf(6303,plain,
% 123.19/123.23 (E(f6(f5(a1,a1)),f6(a1))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215])).
% 123.19/123.23 cnf(6307,plain,
% 123.19/123.23 (E(f5(f4(f53(x63071),a8),a8),f4(f53(x63071),f5(a8,a8)))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266])).
% 123.19/123.23 cnf(6309,plain,
% 123.19/123.23 (E(f5(f5(a8,a8),a8),f5(a8,f5(a8,a8)))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267])).
% 123.19/123.23 cnf(6313,plain,
% 123.19/123.23 (P11(f5(a8,a8),a8)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302])).
% 123.19/123.23 cnf(6315,plain,
% 123.19/123.23 (P10(f5(a8,a8),a8)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301])).
% 123.19/123.23 cnf(6317,plain,
% 123.19/123.23 (~P4(f4(f53(x63171),a1))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243])).
% 123.19/123.23 cnf(6319,plain,
% 123.19/123.23 (P10(f5(a8,a1),a1)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259])).
% 123.19/123.23 cnf(6328,plain,
% 123.19/123.23 (P15(f5(f4(f53(x63281),a8),a8),f53(x63281))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2678,90,325,145,2754,6299,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263])).
% 123.19/123.23 cnf(6336,plain,
% 123.19/123.23 (P9(f5(f5(a8,a2),a8),a2)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2621,2678,90,325,145,2754,6299,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263,245,246,269,274])).
% 123.19/123.23 cnf(6338,plain,
% 123.19/123.23 (~P15(f5(a3,a3),f53(x63381))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2621,2678,90,325,145,2754,6299,144,99,143,345,124,95,100,101,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263,245,246,269,274,271])).
% 123.19/123.23 cnf(6359,plain,
% 123.19/123.23 (P11(f5(a8,a8),a7)),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2621,2678,88,89,90,94,325,145,2754,6299,144,99,143,345,124,2838,95,100,101,136,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263,245,246,269,274,271,273,310,286,279,288,291,2556,2568,2843,2846,514,520])).
% 123.19/123.23 cnf(6361,plain,
% 123.19/123.23 (~E(f4(a9,a7),f4(a10,a8))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2621,2678,88,89,90,94,325,145,2754,6299,144,99,143,345,124,2838,95,100,101,136,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263,245,246,269,274,271,273,310,286,279,288,291,2556,2568,2843,2846,514,520,3079,5136])).
% 123.19/123.23 cnf(6362,plain,
% 123.19/123.23 (~E(f4(a10,a7),f4(a9,a8))),
% 123.19/123.23 inference(scs_inference,[],[86,319,321,146,358,6256,2621,2678,88,89,90,94,325,145,2754,6299,144,99,143,345,124,2838,95,100,101,136,97,96,98,87,165,166,167,169,160,161,162,174,185,186,187,188,189,190,191,163,164,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,56,57,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,2,168,204,71,72,80,81,195,194,221,206,207,238,281,3,296,205,60,85,179,180,201,219,230,303,200,198,247,248,215,240,266,267,277,302,301,243,259,260,261,262,263,245,246,269,274,271,273,310,286,279,288,291,2556,2568,2843,2846,514,520,3079,5136,5556])).
% 123.19/123.23 cnf(6401,plain,
% 123.19/123.23 (P9(f5(a8,a8),f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[6278,125,185,166])).
% 123.19/123.23 cnf(6407,plain,
% 123.19/123.23 (P4(f4(f54(x64071),a3))),
% 123.19/123.23 inference(scs_inference,[],[6278,125,185,166,190,161,187])).
% 123.19/123.23 cnf(6415,plain,
% 123.19/123.23 (P11(f4(f53(x64151),a8),a3)),
% 123.19/123.23 inference(scs_inference,[],[6278,6253,125,185,166,190,161,187,189,186,188,162])).
% 123.19/123.23 cnf(6421,plain,
% 123.19/123.23 (E(f54(f40(a1,x64211)),f54(f40(a2,x64211)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27])).
% 123.19/123.23 cnf(6423,plain,
% 123.19/123.23 (P9(f5(a8,a8),a3)),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160])).
% 123.19/123.23 cnf(6426,plain,
% 123.19/123.23 (E(f39(f40(a1,x64261),x64262),f39(f40(a2,x64261),x64262))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50])).
% 123.19/123.23 cnf(6428,plain,
% 123.19/123.23 (E(f49(f40(a1,x64281)),f49(f40(a2,x64281)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32])).
% 123.19/123.23 cnf(6429,plain,
% 123.19/123.23 (E(f55(f40(a1,x64291)),f55(f40(a2,x64291)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25])).
% 123.19/123.23 cnf(6430,plain,
% 123.19/123.23 (E(f35(f40(a1,x64301)),f35(f40(a2,x64301)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37])).
% 123.19/123.23 cnf(6431,plain,
% 123.19/123.23 (E(f5(f5(a8,a8),a3),f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163])).
% 123.19/123.23 cnf(6435,plain,
% 123.19/123.23 (E(f51(f40(a1,x64351)),f51(f40(a2,x64351)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30])).
% 123.19/123.23 cnf(6436,plain,
% 123.19/123.23 (E(f36(f40(a1,x64361)),f36(f40(a2,x64361)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38])).
% 123.19/123.23 cnf(6437,plain,
% 123.19/123.23 (E(f39(x64371,f40(a1,x64372)),f39(x64371,f40(a2,x64372)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51])).
% 123.19/123.23 cnf(6438,plain,
% 123.19/123.23 (E(f52(f40(a1,x64381)),f52(f40(a2,x64381)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28])).
% 123.19/123.23 cnf(6442,plain,
% 123.19/123.23 (E(f47(f40(a1,x64421)),f47(f40(a2,x64421)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34])).
% 123.19/123.23 cnf(6445,plain,
% 123.19/123.23 (E(f48(f40(a1,x64451)),f48(f40(a2,x64451)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31])).
% 123.19/123.23 cnf(6450,plain,
% 123.19/123.23 (E(f5(a3,f5(a8,a8)),f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164])).
% 123.19/123.23 cnf(6453,plain,
% 123.19/123.23 (E(f37(f40(a1,x64531)),f37(f40(a2,x64531)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39])).
% 123.19/123.23 cnf(6454,plain,
% 123.19/123.23 (E(f40(f40(a1,x64541),x64542),f40(f40(a2,x64541),x64542))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40])).
% 123.19/123.23 cnf(6460,plain,
% 123.19/123.23 (E(f53(f40(a1,x64601)),f53(f40(a2,x64601)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26])).
% 123.19/123.23 cnf(6464,plain,
% 123.19/123.23 (E(f14(f40(a1,x64641)),f14(f40(a2,x64641)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4])).
% 123.19/123.23 cnf(6471,plain,
% 123.19/123.23 (E(f45(f40(a1,x64711)),f45(f40(a2,x64711)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36])).
% 123.19/123.23 cnf(6473,plain,
% 123.19/123.23 (E(f44(f40(a1,x64731)),f44(f40(a2,x64731)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35])).
% 123.19/123.23 cnf(6475,plain,
% 123.19/123.23 (E(f50(f40(a1,x64751)),f50(f40(a2,x64751)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29])).
% 123.19/123.23 cnf(6485,plain,
% 123.19/123.23 (E(f5(x64851,f40(a1,x64852)),f5(x64851,f40(a2,x64852)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55])).
% 123.19/123.23 cnf(6487,plain,
% 123.19/123.23 (E(f16(f40(a1,x64871)),f16(f40(a2,x64871)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6])).
% 123.19/123.23 cnf(6488,plain,
% 123.19/123.23 (E(f46(f40(a1,x64881)),f46(f40(a2,x64881)))),
% 123.19/123.23 inference(scs_inference,[],[6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33])).
% 123.19/123.23 cnf(6491,plain,
% 123.19/123.23 (~E(a1,a3)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2])).
% 123.19/123.23 cnf(6494,plain,
% 123.19/123.23 (E(f5(f4(f54(x64941),a3),f5(a8,a8)),f4(f54(x64941),f5(a8,a8)))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,125,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238])).
% 123.19/123.23 cnf(6496,plain,
% 123.19/123.23 (P6(f56(a1))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,125,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157])).
% 123.19/123.23 cnf(6500,plain,
% 123.19/123.23 (~E(f4(f54(x65001),f5(a8,a8)),f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,325,125,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195])).
% 123.19/123.23 cnf(6502,plain,
% 123.19/123.23 (~E(f4(f54(x65021),f5(a8,a8)),a3)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,325,125,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194])).
% 123.19/123.23 cnf(6504,plain,
% 123.19/123.23 (~P16(f51(a2),f50(a2))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221])).
% 123.19/123.23 cnf(6506,plain,
% 123.19/123.23 (E(f4(f6(a1),f56(a1)),a1)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6253,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193])).
% 123.19/123.23 cnf(6508,plain,
% 123.19/123.23 (~P16(f53(a2),f53(a1))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72])).
% 123.19/123.23 cnf(6509,plain,
% 123.19/123.23 (~P16(f53(x65091),f53(x65091))),
% 123.19/123.23 inference(rename_variables,[],[370])).
% 123.19/123.23 cnf(6510,plain,
% 123.19/123.23 (P6(f4(f54(x65101),f5(a8,a8)))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204])).
% 123.19/123.23 cnf(6512,plain,
% 123.19/123.23 (E(f56(f4(f54(x65121),f5(a8,a8))),f5(a8,a8))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206])).
% 123.19/123.23 cnf(6514,plain,
% 123.19/123.23 (~P9(a3,a1)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175])).
% 123.19/123.23 cnf(6516,plain,
% 123.19/123.23 (E(f6(f4(f54(x65161),f5(a8,a8))),f54(x65161))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207])).
% 123.19/123.23 cnf(6518,plain,
% 123.19/123.23 (P7(f6(a1))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159])).
% 123.19/123.23 cnf(6520,plain,
% 123.19/123.23 (E(f4(f55(a1),f14(a1)),a1)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192])).
% 123.19/123.23 cnf(6522,plain,
% 123.19/123.23 (~P14(f53(a2),f53(a1))),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6290,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78])).
% 123.19/123.23 cnf(6523,plain,
% 123.19/123.23 (~P14(f53(x65231),f53(x65231))),
% 123.19/123.23 inference(rename_variables,[],[6290])).
% 123.19/123.23 cnf(6524,plain,
% 123.19/123.23 (~P10(a3,a1)),
% 123.19/123.23 inference(scs_inference,[],[6280,6278,6290,6234,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176])).
% 123.19/123.23 cnf(6527,plain,
% 123.19/123.23 (E(f40(a1,x65271),f40(a2,x65271))),
% 123.19/123.23 inference(rename_variables,[],[6234])).
% 123.19/123.23 cnf(6528,plain,
% 123.19/123.23 (~P17(f40(x65281,x65282),f40(x65281,x65282))),
% 123.19/123.23 inference(rename_variables,[],[562])).
% 123.19/123.23 cnf(6534,plain,
% 123.19/123.23 (~P11(a3,a1)),
% 123.19/123.23 inference(scs_inference,[],[6280,562,6528,6278,6290,6523,6234,6527,6218,6253,370,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177])).
% 123.19/123.23 cnf(6536,plain,
% 123.19/123.23 (~P16(f53(a1),f53(a2))),
% 123.19/123.23 inference(scs_inference,[],[6280,562,6528,6278,6290,6523,6234,6527,6218,6253,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71])).
% 123.19/123.23 cnf(6540,plain,
% 123.19/123.23 (~E(a2,a3)),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6292,6253,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3])).
% 123.19/123.23 cnf(6541,plain,
% 123.19/123.23 (P6(f5(f5(a8,a8),f5(a8,a8)))),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6292,6253,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205])).
% 123.19/123.23 cnf(6543,plain,
% 123.19/123.23 (P7(f6(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6292,6253,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66])).
% 123.19/123.23 cnf(6548,plain,
% 123.19/123.23 (~E(f5(a8,a1),a3)),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6301,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75])).
% 123.19/123.23 cnf(6549,plain,
% 123.19/123.23 (~P16(f6(a1),f6(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6301,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202])).
% 123.19/123.23 cnf(6551,plain,
% 123.19/123.23 (~P17(f6(a1),f6(a2))),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6301,370,6509,145,325,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203])).
% 123.19/123.23 cnf(6554,plain,
% 123.19/123.23 (~E(f4(f53(x65541),a8),a8)),
% 123.19/123.23 inference(rename_variables,[],[6261])).
% 123.19/123.23 cnf(6560,plain,
% 123.19/123.23 (E(f5(f5(f5(a8,a8),f5(a8,a8)),f5(a8,a8)),f5(f5(a8,a8),f5(f5(a8,a8),f5(a8,a8))))),
% 123.19/123.23 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,370,6509,145,325,99,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267])).
% 123.19/123.23 cnf(6562,plain,
% 123.19/123.23 (P15(f4(f54(x65621),f5(a8,a8)),f54(x65621))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,370,6509,145,325,99,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303])).
% 123.19/123.24 cnf(6564,plain,
% 123.19/123.24 (E(f6(f5(a1,f5(a8,a8))),f6(a1))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,370,6509,145,325,99,125,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215])).
% 123.19/123.24 cnf(6574,plain,
% 123.19/123.24 (~P14(f54(x65741),f54(x65741))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,146,370,6509,145,325,144,99,125,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219])).
% 123.19/123.24 cnf(6575,plain,
% 123.19/123.24 (P7(f54(x65751))),
% 123.19/123.24 inference(rename_variables,[],[125])).
% 123.19/123.24 cnf(6581,plain,
% 123.19/123.24 (P15(f4(f6(a2),f5(a8,a8)),f6(a1))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,146,370,6509,145,325,144,99,125,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239])).
% 123.19/123.24 cnf(6583,plain,
% 123.19/123.24 (P11(f5(f5(a8,a8),f5(a8,a8)),f5(a8,a8))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,146,370,6509,145,325,144,99,125,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260])).
% 123.19/123.24 cnf(6586,plain,
% 123.19/123.24 (P7(f54(x65861))),
% 123.19/123.24 inference(rename_variables,[],[125])).
% 123.19/123.24 cnf(6590,plain,
% 123.19/123.24 (P7(f54(x65901))),
% 123.19/123.24 inference(rename_variables,[],[125])).
% 123.19/123.24 cnf(6592,plain,
% 123.19/123.24 (~E(f5(f5(a8,a8),a3),f5(f5(a8,a8),a1))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6301,146,370,6509,145,325,144,99,125,6575,6586,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241])).
% 123.19/123.24 cnf(6595,plain,
% 123.19/123.24 (P6(f4(f53(x65951),a8))),
% 123.19/123.24 inference(rename_variables,[],[6253])).
% 123.19/123.24 cnf(6597,plain,
% 123.19/123.24 (P10(f5(f5(a8,a8),f5(a8,a8)),f5(a8,a8))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,145,325,144,99,125,6575,6586,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259])).
% 123.19/123.24 cnf(6599,plain,
% 123.19/123.24 (~P4(f4(f54(x65991),a1))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,145,325,144,99,125,6575,6586,6590,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243])).
% 123.19/123.24 cnf(6602,plain,
% 123.19/123.24 (P7(f54(x66021))),
% 123.19/123.24 inference(rename_variables,[],[125])).
% 123.19/123.24 cnf(6604,plain,
% 123.19/123.24 (P9(f5(f5(f5(a8,a8),f5(a8,a8)),f5(a8,a8)),f5(a8,a8))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,145,325,144,99,125,6575,6586,6590,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274])).
% 123.19/123.24 cnf(6610,plain,
% 123.19/123.24 (P6(a13)),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148])).
% 123.19/123.24 cnf(6611,plain,
% 123.19/123.24 (P7(a12)),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149])).
% 123.19/123.24 cnf(6612,plain,
% 123.19/123.24 (P19(f4(a12,a3))),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149,4175])).
% 123.19/123.24 cnf(6613,plain,
% 123.19/123.24 (E(f4(a12,a3),a1)),
% 123.19/123.24 inference(scs_inference,[],[86,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149,4175,153])).
% 123.19/123.24 cnf(6617,plain,
% 123.19/123.24 (P9(a7,a7)),
% 123.19/123.24 inference(scs_inference,[],[86,6281,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,345,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149,4175,153,181,196,84])).
% 123.19/123.24 cnf(6618,plain,
% 123.19/123.24 (~P16(f6(a1),f6(a1))),
% 123.19/123.24 inference(scs_inference,[],[86,6281,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6317,6261,6554,6301,146,370,6509,89,145,325,144,345,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149,4175,153,181,196,84,229])).
% 123.19/123.24 cnf(6624,plain,
% 123.19/123.24 (~P15(f5(a3,a3),f54(x66241))),
% 123.19/123.24 inference(scs_inference,[],[86,6281,6280,382,562,6528,6278,6290,6523,6338,6234,6527,6218,6233,6319,6292,6182,6253,6595,6317,6261,6554,6301,146,370,6509,89,145,325,144,345,99,125,6575,6586,6590,6602,101,100,95,96,98,185,166,190,161,187,189,186,188,162,191,169,27,15,160,12,50,48,32,25,37,163,167,30,38,51,28,45,46,22,34,165,31,174,52,20,164,2846,39,40,21,14,10,23,42,26,9,54,17,4,7,47,53,56,2556,24,36,16,35,13,29,2568,2843,8,41,19,49,43,44,57,55,5,6,33,11,18,2,168,238,157,281,195,194,221,193,72,204,206,175,207,159,192,78,176,80,81,77,177,71,82,3,205,66,60,74,76,85,75,202,203,179,266,277,267,303,215,180,248,240,200,219,247,198,239,260,262,261,241,242,259,243,269,274,275,286,148,149,4175,153,181,196,84,229,231,309,271])).
% 123.19/123.24 cnf(6635,plain,
% 123.19/123.24 (~P7(x66351)+~P15(a13,x66351)+~P16(x66351,a12)),
% 123.19/123.24 inference(scs_inference,[],[6491,211])).
% 123.19/123.24 cnf(6637,plain,
% 123.19/123.24 (P9(a13,a13)),
% 123.19/123.24 inference(scs_inference,[],[6610,166])).
% 123.19/123.24 cnf(6639,plain,
% 123.19/123.24 (P11(a13,a3)),
% 123.19/123.24 inference(scs_inference,[],[6610,166,162])).
% 123.19/123.24 cnf(6643,plain,
% 123.19/123.24 (P9(a13,a3)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,166,162,189,160])).
% 123.19/123.24 cnf(6645,plain,
% 123.19/123.24 (P10(a13,a3)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,166,162,189,160,161])).
% 123.19/123.24 cnf(6653,plain,
% 123.19/123.24 (P4(f4(a12,a3))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,166,162,189,160,161,186,169,191,187])).
% 123.19/123.24 cnf(6662,plain,
% 123.19/123.24 (E(f54(f14(a1)),f54(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27])).
% 123.19/123.24 cnf(6663,plain,
% 123.19/123.24 (E(f5(a3,a13),a13)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164])).
% 123.19/123.24 cnf(6666,plain,
% 123.19/123.24 (E(f5(a13,a3),a13)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163])).
% 123.19/123.24 cnf(6668,plain,
% 123.19/123.24 (E(f52(f14(a1)),f52(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28])).
% 123.19/123.24 cnf(6673,plain,
% 123.19/123.24 (P10(a13,a13)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167])).
% 123.19/123.24 cnf(6677,plain,
% 123.19/123.24 (E(f49(f14(a1)),f49(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32])).
% 123.19/123.24 cnf(6678,plain,
% 123.19/123.24 (~P15(a3,a12)),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174])).
% 123.19/123.24 cnf(6680,plain,
% 123.19/123.24 (E(f36(f14(a1)),f36(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38])).
% 123.19/123.24 cnf(6682,plain,
% 123.19/123.24 (E(f39(f14(a1),x66821),f39(f14(a2),x66821))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50])).
% 123.19/123.24 cnf(6686,plain,
% 123.19/123.24 (E(f51(f14(a1)),f51(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30])).
% 123.19/123.24 cnf(6691,plain,
% 123.19/123.24 (E(f53(f14(a1)),f53(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26])).
% 123.19/123.24 cnf(6695,plain,
% 123.19/123.24 (E(f4(x66951,f14(a1)),f4(x66951,f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53])).
% 123.19/123.24 cnf(6697,plain,
% 123.19/123.24 (E(f55(f14(a1)),f55(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25])).
% 123.19/123.24 cnf(6701,plain,
% 123.19/123.24 (E(f35(f14(a1)),f35(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37])).
% 123.19/123.24 cnf(6703,plain,
% 123.19/123.24 (E(f47(f14(a1)),f47(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34])).
% 123.19/123.24 cnf(6704,plain,
% 123.19/123.24 (E(f37(f14(a1)),f37(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39])).
% 123.19/123.24 cnf(6706,plain,
% 123.19/123.24 (E(f45(f14(a1)),f45(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36])).
% 123.19/123.24 cnf(6708,plain,
% 123.19/123.24 (E(f39(x67081,f14(a1)),f39(x67081,f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51])).
% 123.19/123.24 cnf(6709,plain,
% 123.19/123.24 (E(f44(f14(a1)),f44(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35])).
% 123.19/123.24 cnf(6723,plain,
% 123.19/123.24 (E(f50(f14(a1)),f50(f14(a2)))),
% 123.19/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29])).
% 123.19/123.24 cnf(6727,plain,
% 123.19/123.24 (E(f46(f14(a1)),f46(f14(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33])).
% 123.34/123.24 cnf(6729,plain,
% 123.34/123.24 (~E(a3,a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2])).
% 123.34/123.24 cnf(6730,plain,
% 123.34/123.24 (P11(a13,a13)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168])).
% 123.34/123.24 cnf(6732,plain,
% 123.34/123.24 (~P17(a12,a12)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298])).
% 123.34/123.24 cnf(6734,plain,
% 123.34/123.24 (P6(f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157])).
% 123.34/123.24 cnf(6736,plain,
% 123.34/123.24 (E(f4(f6(a2),f56(a2)),a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193])).
% 123.34/123.24 cnf(6738,plain,
% 123.34/123.24 (E(f5(f4(a12,a3),a13),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238])).
% 123.34/123.24 cnf(6740,plain,
% 123.34/123.24 (E(f4(f55(a2),f14(a2)),a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192])).
% 123.34/123.24 cnf(6742,plain,
% 123.34/123.24 (~E(f4(a12,a13),a13)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195])).
% 123.34/123.24 cnf(6744,plain,
% 123.34/123.24 (E(f6(f4(a12,a13)),a12)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207])).
% 123.34/123.24 cnf(6746,plain,
% 123.34/123.24 (~P9(a3,a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175])).
% 123.34/123.24 cnf(6750,plain,
% 123.34/123.24 (~E(f4(a12,a13),a3)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194])).
% 123.34/123.24 cnf(6752,plain,
% 123.34/123.24 (P6(f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,6196,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204])).
% 123.34/123.24 cnf(6755,plain,
% 123.34/123.24 (~P16(f52(x67551),f52(x67551))),
% 123.34/123.24 inference(rename_variables,[],[394])).
% 123.34/123.24 cnf(6756,plain,
% 123.34/123.24 (~P10(a3,a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,394,6196,6220,6518,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176])).
% 123.34/123.24 cnf(6759,plain,
% 123.34/123.24 (~P14(f54(x67591),f54(x67591))),
% 123.34/123.24 inference(rename_variables,[],[6574])).
% 123.34/123.24 cnf(6760,plain,
% 123.34/123.24 (~P11(a3,a2)),
% 123.34/123.24 inference(scs_inference,[],[6540,6610,6611,394,6574,6196,6220,6518,6421,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177])).
% 123.34/123.24 cnf(6767,plain,
% 123.34/123.24 (~P15(a3,f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6540,6610,6611,394,6574,6759,6196,6220,6518,6613,6336,6421,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83])).
% 123.34/123.24 cnf(6770,plain,
% 123.34/123.24 (~E(f5(a2,a1),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6540,6610,6611,394,6755,6574,6759,6296,6196,6220,6248,6518,6613,6336,6421,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3])).
% 123.34/123.24 cnf(6772,plain,
% 123.34/123.24 (P15(f4(f53(x67721),f5(a8,a8)),f53(x67721))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6540,6610,6611,394,6755,6574,6759,6296,6196,6220,6248,6518,6613,6336,6421,6328,6307,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82])).
% 123.34/123.24 cnf(6774,plain,
% 123.34/123.24 (P6(f5(a13,a13))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6540,6610,6611,394,6755,6574,6759,6296,6196,6220,6248,6518,6613,6336,6421,6328,6307,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205])).
% 123.34/123.24 cnf(6777,plain,
% 123.34/123.24 (P18(a1)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6540,6610,6611,394,6755,6574,6759,6296,6196,6220,6248,6518,6613,6336,6421,6328,6307,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61])).
% 123.34/123.24 cnf(6784,plain,
% 123.34/123.24 (P10(f5(a8,a2),a1)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6613,6407,6599,6336,6421,6328,6307,6319,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75])).
% 123.34/123.24 cnf(6786,plain,
% 123.34/123.24 (~E(f5(a2,a2),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6613,6407,6599,6336,6421,6328,6307,6319,345,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199])).
% 123.34/123.24 cnf(6788,plain,
% 123.34/123.24 (E(f5(f5(f41(a7,a7),a7),f40(a7,a7)),a7)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6613,6407,6599,6336,6421,6328,6307,6319,345,97,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277])).
% 123.34/123.24 cnf(6792,plain,
% 123.34/123.24 (P15(f4(a12,a13),a12)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6613,6407,6599,6336,6421,6328,6307,6319,345,97,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303])).
% 123.34/123.24 cnf(6794,plain,
% 123.34/123.24 (E(f6(a2),f6(a1))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,345,97,96,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180])).
% 123.34/123.24 cnf(6796,plain,
% 123.34/123.24 (E(f6(f5(a1,a13)),f6(a1))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,6280,345,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215])).
% 123.34/123.24 cnf(6800,plain,
% 123.34/123.24 (~P16(f6(a2),f6(a1))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,6280,345,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202])).
% 123.34/123.24 cnf(6802,plain,
% 123.34/123.24 (~E(f4(a12,a3),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200])).
% 123.34/123.24 cnf(6804,plain,
% 123.34/123.24 (E(f5(f5(a13,a13),a13),f5(a13,f5(a13,a13)))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267])).
% 123.34/123.24 cnf(6806,plain,
% 123.34/123.24 (~E(f5(a13,a1),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198])).
% 123.34/123.24 cnf(6808,plain,
% 123.34/123.24 (E(f5(f42(a13,a3),a3),a13)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248])).
% 123.34/123.24 cnf(6812,plain,
% 123.34/123.24 (~P14(f6(a1),f6(a1))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219])).
% 123.34/123.24 cnf(6816,plain,
% 123.34/123.24 (~P4(f4(f6(a1),a2))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258])).
% 123.34/123.24 cnf(6818,plain,
% 123.34/123.24 (~E(f5(a1,a13),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232])).
% 123.34/123.24 cnf(6820,plain,
% 123.34/123.24 (P11(f5(a13,a13),a13)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260])).
% 123.34/123.24 cnf(6822,plain,
% 123.34/123.24 (~E(f5(a13,a2),a3)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231])).
% 123.34/123.24 cnf(6824,plain,
% 123.34/123.24 (P15(f5(f4(a12,a13),f4(a12,a13)),a12)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262])).
% 123.34/123.24 cnf(6828,plain,
% 123.34/123.24 (~E(f5(a1,a13),f5(a3,a13))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242])).
% 123.34/123.24 cnf(6830,plain,
% 123.34/123.24 (~P4(f4(a12,a2))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243])).
% 123.34/123.24 cnf(6832,plain,
% 123.34/123.24 (P10(f5(a13,a13),a13)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259])).
% 123.34/123.24 cnf(6834,plain,
% 123.34/123.24 (~E(f5(a13,a1),f5(a13,a3))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6336,6421,6328,6307,6319,146,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241])).
% 123.34/123.24 cnf(6836,plain,
% 123.34/123.24 (~P11(a3,f4(f53(x68361),a8))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,146,6253,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235])).
% 123.34/123.24 cnf(6840,plain,
% 123.34/123.24 (P9(f5(f5(a13,a13),a13),a13)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,146,6253,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235,274])).
% 123.34/123.24 cnf(6844,plain,
% 123.34/123.24 (~P15(f5(a3,a3),a12)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6574,6759,6296,6612,6196,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,146,6253,145,6280,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235,274,269,271])).
% 123.34/123.24 cnf(6857,plain,
% 123.34/123.24 (~E(a3,f4(f53(x68571),a8))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6251,6574,6759,6296,6612,6196,6216,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,94,146,89,6253,145,6280,143,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235,274,269,271,275,310,286,291,886,172])).
% 123.34/123.24 cnf(6859,plain,
% 123.34/123.24 (P7(f6(f4(f53(x68591),a8)))),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6251,6574,6759,6296,6612,6196,6216,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,94,146,89,6253,145,6280,143,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235,274,269,271,275,310,286,291,886,172,159])).
% 123.34/123.24 cnf(6861,plain,
% 123.34/123.24 (P1(a1)),
% 123.34/123.24 inference(scs_inference,[],[350,360,6617,6514,6534,6491,6524,6540,6610,6611,394,6755,6251,6574,6759,6296,6612,6196,6216,6220,6248,6249,6518,6543,6549,6551,6618,6613,6407,6599,6263,6415,6336,6421,6328,6307,6319,94,146,89,6253,145,6280,143,345,95,97,96,98,166,162,189,160,161,186,169,191,187,190,185,188,15,27,164,22,163,28,12,14,165,167,40,9,32,174,38,42,50,46,52,10,30,41,20,49,47,26,2846,21,17,53,48,25,45,2568,2843,37,56,34,39,43,36,44,51,35,23,31,7,4,55,2556,8,54,57,16,24,13,11,29,6,19,5,33,18,2,168,298,157,193,238,192,195,207,175,206,194,204,72,176,78,177,77,81,84,80,83,71,3,82,205,62,61,64,63,60,76,74,85,75,199,277,266,303,180,215,203,202,200,267,198,248,240,219,247,258,232,260,231,262,261,242,243,259,241,235,274,269,271,275,310,286,291,886,172,159,58])).
% 123.34/123.24 cnf(6874,plain,
% 123.34/123.24 (P1(a2)),
% 123.34/123.24 inference(scs_inference,[],[6861,365])).
% 123.34/123.24 cnf(6876,plain,
% 123.34/123.24 (P11(f4(a12,a13),a3)),
% 123.34/123.24 inference(scs_inference,[],[6752,162])).
% 123.34/123.24 cnf(6878,plain,
% 123.34/123.24 (P4(f4(f6(f4(f53(x68781),a8)),a3))),
% 123.34/123.24 inference(scs_inference,[],[6752,6859,162,187])).
% 123.34/123.24 cnf(6884,plain,
% 123.34/123.24 (P9(f4(a12,a13),a3)),
% 123.34/123.24 inference(scs_inference,[],[6752,6859,162,187,186,166,160])).
% 123.34/123.24 cnf(6900,plain,
% 123.34/123.24 (E(f5(a3,f4(a12,a13)),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6752,6859,162,187,186,166,160,169,190,185,161,189,188,191,164])).
% 123.34/123.24 cnf(6904,plain,
% 123.34/123.24 (E(f54(f15(a1)),f54(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27])).
% 123.34/123.24 cnf(6908,plain,
% 123.34/123.24 (E(f39(f15(a1),x69081),f39(f15(a2),x69081))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50])).
% 123.34/123.24 cnf(6909,plain,
% 123.34/123.24 (E(f5(f4(a12,a13),a3),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163])).
% 123.34/123.24 cnf(6911,plain,
% 123.34/123.24 (P10(f4(a12,a13),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167])).
% 123.34/123.24 cnf(6914,plain,
% 123.34/123.24 (E(f52(f15(a1)),f52(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28])).
% 123.34/123.24 cnf(6924,plain,
% 123.34/123.24 (E(f55(f15(a1)),f55(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25])).
% 123.34/123.24 cnf(6933,plain,
% 123.34/123.24 (E(f36(f15(a1)),f36(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38])).
% 123.34/123.24 cnf(6939,plain,
% 123.34/123.24 (E(f51(f15(a1)),f51(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30])).
% 123.34/123.24 cnf(6940,plain,
% 123.34/123.24 (E(f53(f15(a1)),f53(f15(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26])).
% 123.34/123.24 cnf(6967,plain,
% 123.34/123.24 (P11(f4(a12,a13),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6859,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168])).
% 123.34/123.24 cnf(6969,plain,
% 123.34/123.24 (P6(f56(f4(f53(x69691),a8)))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6859,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157])).
% 123.34/123.24 cnf(6970,plain,
% 123.34/123.24 (~E(a3,f4(f53(x69701),a8))),
% 123.34/123.24 inference(rename_variables,[],[6857])).
% 123.34/123.24 cnf(6972,plain,
% 123.34/123.24 (E(f6(f4(f6(f4(f53(x69721),a8)),f4(a12,a13))),f6(f4(f53(x69721),a8)))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6859,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207])).
% 123.34/123.24 cnf(6976,plain,
% 123.34/123.24 (~P9(a3,f4(f53(x69761),a8))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6970,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175])).
% 123.34/123.24 cnf(6977,plain,
% 123.34/123.24 (~E(a3,f4(f53(x69771),a8))),
% 123.34/123.24 inference(rename_variables,[],[6857])).
% 123.34/123.24 cnf(6979,plain,
% 123.34/123.24 (P6(f4(f6(f4(f53(x69791),a8)),f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6970,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204])).
% 123.34/123.24 cnf(6981,plain,
% 123.34/123.24 (~E(f4(f6(f4(f53(x69811),a8)),f4(a12,a13)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6970,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194])).
% 123.34/123.24 cnf(6987,plain,
% 123.34/123.24 (~P10(a3,f4(f53(x69871),a8))),
% 123.34/123.24 inference(scs_inference,[],[6361,6752,6197,6857,6970,6977,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176])).
% 123.34/123.24 cnf(6988,plain,
% 123.34/123.24 (~E(a3,f4(f53(x69881),a8))),
% 123.34/123.24 inference(rename_variables,[],[6857])).
% 123.34/123.24 cnf(6991,plain,
% 123.34/123.24 (~P16(f50(x69911),f50(x69911))),
% 123.34/123.24 inference(rename_variables,[],[406])).
% 123.34/123.24 cnf(6992,plain,
% 123.34/123.24 (~P14(f6(a1),f6(a2))),
% 123.34/123.24 inference(scs_inference,[],[406,6361,6752,6197,6221,6812,6794,6857,6970,6977,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78])).
% 123.34/123.24 cnf(6994,plain,
% 123.34/123.24 (~P17(f15(x69941),f15(x69941))),
% 123.34/123.24 inference(rename_variables,[],[408])).
% 123.34/123.24 cnf(6996,plain,
% 123.34/123.24 (~P14(f6(a2),f6(a1))),
% 123.34/123.24 inference(scs_inference,[],[406,408,6361,6752,6197,6221,6812,6794,6840,6857,6970,6977,6804,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77])).
% 123.34/123.24 cnf(6999,plain,
% 123.34/123.24 (~P15(f5(a3,a3),f6(f4(f54(x69991),f5(a8,a8))))),
% 123.34/123.24 inference(scs_inference,[],[406,408,6994,6361,6624,6752,6197,6221,6812,6794,6840,6857,6970,6977,6804,6516,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83])).
% 123.34/123.24 cnf(7002,plain,
% 123.34/123.24 (~P16(f50(x70021),f50(x70021))),
% 123.34/123.24 inference(rename_variables,[],[406])).
% 123.34/123.24 cnf(7003,plain,
% 123.34/123.24 (~E(f4(f54(x70031),f5(a8,a8)),f5(a3,a3))),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6752,6197,6221,6812,6794,6562,6840,6857,6970,6977,6804,6516,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82])).
% 123.34/123.24 cnf(7008,plain,
% 123.34/123.24 (P6(f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6752,6197,6221,6235,6812,6794,6562,6840,6857,6970,6977,6454,6804,6516,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205])).
% 123.34/123.24 cnf(7010,plain,
% 123.34/123.24 (~E(f4(a12,a3),f4(a12,a2))),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6562,6840,6857,6970,6977,6454,6804,6516,6859,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60])).
% 123.34/123.24 cnf(7011,plain,
% 123.34/123.24 (P11(f39(f40(a2,x70111),x70112),f39(f40(a1,x70111),x70112))),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6562,6840,6857,6970,6977,6426,6454,6804,6516,6859,6251,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73])).
% 123.34/123.24 cnf(7015,plain,
% 123.34/123.24 (~E(f5(a8,a2),a3)),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6857,6970,6977,6426,6454,6804,6516,6859,6524,6251,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75])).
% 123.34/123.24 cnf(7024,plain,
% 123.34/123.24 (P15(f4(f6(f4(f53(x70241),a8)),f4(a12,a13)),f6(f4(f53(x70241),a8)))),
% 123.34/123.24 inference(scs_inference,[],[406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,6543,6253,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303])).
% 123.34/123.24 cnf(7026,plain,
% 123.34/123.24 (E(f6(f5(a2,a2)),f6(a2))),
% 123.34/123.24 inference(scs_inference,[],[6729,406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,6543,6253,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215])).
% 123.34/123.24 cnf(7030,plain,
% 123.34/123.24 (E(f5(f42(a13,a13),a13),a13)),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,6253,6610,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248])).
% 123.34/123.24 cnf(7034,plain,
% 123.34/123.24 (E(f5(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13)),f5(f4(a12,a13),f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,406,6991,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,6253,6610,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267])).
% 123.34/123.24 cnf(7036,plain,
% 123.34/123.24 (~P14(f50(x70361),f50(x70361))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219])).
% 123.34/123.24 cnf(7037,plain,
% 123.34/123.24 (~P16(f50(x70371),f50(x70371))),
% 123.34/123.24 inference(rename_variables,[],[406])).
% 123.34/123.24 cnf(7041,plain,
% 123.34/123.24 (P11(f5(f4(a12,a13),f4(a12,a13)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260])).
% 123.34/123.24 cnf(7045,plain,
% 123.34/123.24 (~P4(f4(f6(f4(f53(x70451),a8)),a2))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243])).
% 123.34/123.24 cnf(7047,plain,
% 123.34/123.24 (P10(f5(f4(a12,a13),f4(a12,a13)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259])).
% 123.34/123.24 cnf(7049,plain,
% 123.34/123.24 (~P9(a3,f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233])).
% 123.34/123.24 cnf(7051,plain,
% 123.34/123.24 (~P11(a3,f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235])).
% 123.34/123.24 cnf(7055,plain,
% 123.34/123.24 (P9(f5(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13)),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274])).
% 123.34/123.24 cnf(7057,plain,
% 123.34/123.24 (~P15(f5(a3,a3),f6(f4(f53(x70571),a8)))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271])).
% 123.34/123.24 cnf(7059,plain,
% 123.34/123.24 (~P11(f4(f6(a2),a3),f4(f6(a2),a2))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,408,6994,6361,6624,6653,6752,6197,6221,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275])).
% 123.34/123.24 cnf(7069,plain,
% 123.34/123.24 (~E(a3,f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172])).
% 123.34/123.24 cnf(7073,plain,
% 123.34/123.24 (P7(f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159])).
% 123.34/123.24 cnf(7075,plain,
% 123.34/123.24 (E(f4(f55(f4(a12,a13)),f14(f4(a12,a13))),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159,192])).
% 123.34/123.24 cnf(7077,plain,
% 123.34/123.24 (~E(f5(f4(a12,a13),f4(a12,a13)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159,192,198])).
% 123.34/123.24 cnf(7079,plain,
% 123.34/123.24 (P11(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159,192,198,302])).
% 123.34/123.24 cnf(7081,plain,
% 123.34/123.24 (P10(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159,192,198,302,301])).
% 123.34/123.24 cnf(7083,plain,
% 123.34/123.24 (~P10(a3,f4(a12,a13))),
% 123.34/123.24 inference(scs_inference,[],[6729,6673,6730,6760,406,6991,7002,7037,408,6994,6361,6624,6653,6752,6197,6221,6230,6235,6812,6794,6830,6750,6784,6562,6506,6840,6836,6857,6970,6977,6988,6426,6454,6804,6516,6859,6271,6524,6251,6514,92,146,6543,145,6253,6610,127,95,96,162,187,186,166,160,169,190,185,161,189,188,191,164,174,27,15,165,50,163,167,17,28,22,9,40,49,41,42,12,20,53,25,14,39,52,47,43,21,45,37,38,54,46,16,36,32,30,26,35,55,48,10,2556,31,34,24,56,44,13,2843,23,51,8,29,7,4,11,19,57,33,6,5,18,2,168,157,207,238,175,204,194,206,195,176,72,78,80,84,77,81,83,71,82,3,205,60,73,76,75,74,85,199,277,303,215,200,248,240,267,219,247,260,262,243,259,233,235,269,274,271,275,290,2846,2568,1210,172,193,159,192,198,302,301,234])).
% 123.34/123.24 cnf(7105,plain,
% 123.34/123.24 (P4(f4(f6(f4(a12,a13)),a3))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,162,160,161,186,187])).
% 123.34/123.24 cnf(7107,plain,
% 123.34/123.24 (P9(f56(a1),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,162,160,161,186,187,166])).
% 123.34/123.24 cnf(7115,plain,
% 123.34/123.24 (E(f5(a3,f56(a1)),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,162,160,161,186,187,166,185,190,169,164])).
% 123.34/123.24 cnf(7125,plain,
% 123.34/123.24 (~P15(a3,f6(a2))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174])).
% 123.34/123.24 cnf(7127,plain,
% 123.34/123.24 (E(f5(f56(a1),a3),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163])).
% 123.34/123.24 cnf(7129,plain,
% 123.34/123.24 (P10(f56(a1),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167])).
% 123.34/123.24 cnf(7188,plain,
% 123.34/123.24 (P11(f56(a1),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168])).
% 123.34/123.24 cnf(7190,plain,
% 123.34/123.24 (E(f6(f4(f6(f4(a12,a13)),f56(a1))),f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207])).
% 123.34/123.24 cnf(7192,plain,
% 123.34/123.24 (P6(f4(f6(f4(a12,a13)),f56(a1)))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,6496,7073,6543,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204])).
% 123.34/123.24 cnf(7194,plain,
% 123.34/123.24 (P6(f56(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,7069,6496,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157])).
% 123.34/123.24 cnf(7196,plain,
% 123.34/123.24 (~E(f4(f6(f4(a12,a13)),f56(a1)),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,7069,6496,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195])).
% 123.34/123.24 cnf(7198,plain,
% 123.34/123.24 (~E(f4(f6(f4(a12,a13)),f56(a1)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,7069,6496,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194])).
% 123.34/123.24 cnf(7200,plain,
% 123.34/123.24 (E(f5(f4(f6(f4(a12,a13)),a3),f56(a1)),f4(f6(f4(a12,a13)),f56(a1)))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,7069,6496,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238])).
% 123.34/123.24 cnf(7202,plain,
% 123.34/123.24 (E(f56(f4(f6(f4(a12,a13)),f56(a1))),f56(a1))),
% 123.34/123.24 inference(scs_inference,[],[6362,6198,7069,6496,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206])).
% 123.34/123.24 cnf(7205,plain,
% 123.34/123.24 (~P16(f51(x72051),f51(x72051))),
% 123.34/123.24 inference(rename_variables,[],[416])).
% 123.34/123.24 cnf(7206,plain,
% 123.34/123.24 (~P14(f6(a2),f6(f5(a1,a1)))),
% 123.34/123.24 inference(scs_inference,[],[416,6362,6198,6222,7069,6496,6996,6303,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78])).
% 123.34/123.24 cnf(7207,plain,
% 123.34/123.24 (~P14(f6(f5(a1,a1)),f6(a2))),
% 123.34/123.24 inference(scs_inference,[],[416,6362,6198,6222,7069,6496,6992,6996,6303,7073,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77])).
% 123.34/123.24 cnf(7209,plain,
% 123.34/123.24 (~P15(f5(a3,a3),f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,416,6362,6198,6222,7069,6496,6844,6992,6996,6192,6303,7073,6744,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83])).
% 123.34/123.24 cnf(7212,plain,
% 123.34/123.24 (~P16(f51(x72121),f51(x72121))),
% 123.34/123.24 inference(rename_variables,[],[416])).
% 123.34/123.24 cnf(7213,plain,
% 123.34/123.24 (~E(f5(a2,a13),f5(a3,a13))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,7069,6496,6844,6992,6996,6192,6303,7073,6744,6248,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3])).
% 123.34/123.24 cnf(7215,plain,
% 123.34/123.24 (P6(f5(f56(a1),f56(a1)))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,7069,6496,6844,6992,6996,6192,6303,7073,6744,6248,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205])).
% 123.34/123.24 cnf(7220,plain,
% 123.34/123.24 (P10(f56(a2),a3)),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,7069,6496,6844,6992,6996,7083,7049,6192,6900,6303,7073,6816,6744,6878,6232,6248,6543,6752,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75])).
% 123.34/123.24 cnf(7229,plain,
% 123.34/123.24 (P15(f4(f6(f4(a12,a13)),f56(a1)),f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6192,6900,6303,7073,6816,6744,7059,6878,6232,6248,6543,6752,95,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303])).
% 123.34/123.24 cnf(7237,plain,
% 123.34/123.24 (E(f6(f5(f4(a12,a13),f56(a1))),f6(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6192,6900,6303,7073,6816,6744,7059,6878,6232,6248,146,6543,6752,95,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215])).
% 123.34/123.24 cnf(7239,plain,
% 123.34/123.24 (E(f5(f5(f56(a1),f56(a1)),f56(a1)),f5(f56(a1),f5(f56(a1),f56(a1))))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6192,6900,6303,7073,6816,6744,7059,6878,6232,6248,146,6543,6752,95,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267])).
% 123.34/123.24 cnf(7241,plain,
% 123.34/123.24 (~P14(f55(x72411),f55(x72411))),
% 123.34/123.24 inference(scs_inference,[],[372,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6192,6900,6303,7073,6816,6744,7059,6878,6232,358,6248,146,6543,6752,123,95,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219])).
% 123.34/123.24 cnf(7254,plain,
% 123.34/123.24 (~P4(f4(f6(f4(a12,a13)),a2))),
% 123.34/123.24 inference(scs_inference,[],[372,6639,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7073,6816,6744,7059,6878,6232,358,6248,6729,146,6543,145,6611,6752,6610,123,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243])).
% 123.34/123.24 cnf(7262,plain,
% 123.34/123.24 (~P15(f5(a3,a3),f6(a2))),
% 123.34/123.24 inference(scs_inference,[],[372,6678,6639,6645,416,7205,6362,6198,6222,6828,6247,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7008,7073,6816,7077,7047,6744,7059,6878,6232,358,6248,6729,146,6543,145,6611,6752,6610,123,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243,259,234,269,271])).
% 123.34/123.24 cnf(7278,plain,
% 123.34/123.24 (~E(a3,f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,6250,6678,6639,6645,6874,416,7205,7212,6362,6198,6222,6828,6247,7051,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7008,7073,6816,7077,7047,6744,6438,7059,6878,6232,358,6248,6729,92,146,6543,145,6611,6752,6610,123,128,101,100,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243,259,234,269,271,274,275,279,290,2568,2846,1233,171])).
% 123.34/123.24 cnf(7280,plain,
% 123.34/123.24 (P7(f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[372,6250,6678,6639,6645,6874,416,7205,7212,6362,6198,6222,6828,6247,7051,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7008,7073,6816,7077,7047,6744,6438,7059,6878,6232,358,6248,6729,92,146,6543,145,6611,6752,6610,123,128,101,100,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243,259,234,269,271,274,275,279,290,2568,2846,1233,171,159])).
% 123.34/123.24 cnf(7282,plain,
% 123.34/123.24 (~P9(a3,f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,6250,6678,6639,6645,6874,416,7205,7212,6362,6198,6222,6828,6247,7051,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7008,7073,6816,7077,7047,6744,6438,7059,6878,6232,358,6248,6729,92,146,6543,145,6611,6752,6610,123,128,101,100,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243,259,234,269,271,274,275,279,290,2568,2846,1233,171,159,175])).
% 123.34/123.24 cnf(7284,plain,
% 123.34/123.24 (~P11(a3,f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[372,6250,6678,6639,6645,6874,416,7205,7212,6362,6198,6222,6828,6247,7051,7069,6496,6844,6992,6996,7083,7049,6792,6192,6900,6303,7008,7073,6816,7077,7047,6744,6438,7059,6878,6232,358,6248,6729,92,146,6543,145,6611,6752,6610,123,128,101,100,95,96,162,160,161,186,187,166,185,190,169,164,189,188,165,191,174,163,167,27,15,22,28,40,17,14,37,39,52,54,42,49,20,50,41,47,10,9,25,21,24,12,46,26,45,36,53,44,48,30,8,43,31,4,35,55,16,32,38,51,13,34,2843,23,2556,19,6,7,29,56,33,57,18,5,11,2,168,207,204,157,195,194,238,206,72,78,77,80,83,81,71,3,205,60,76,85,75,74,199,277,266,303,200,240,248,215,267,219,247,263,260,261,262,243,259,234,269,271,274,275,279,290,2568,2846,1233,171,159,175,177])).
% 123.34/123.24 cnf(7292,plain,
% 123.34/123.24 (P4(f4(f6(f5(f4(a12,a13),f4(a12,a13))),a3))),
% 123.34/123.24 inference(scs_inference,[],[7280,187])).
% 123.34/123.24 cnf(7294,plain,
% 123.34/123.24 (P10(f4(f54(x72941),f5(a8,a8)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6510,7280,187,161])).
% 123.34/123.24 cnf(7304,plain,
% 123.34/123.24 (P9(f56(a2),a3)),
% 123.34/123.24 inference(scs_inference,[],[6734,6510,7280,187,161,186,169,190,185,160])).
% 123.34/123.24 cnf(7308,plain,
% 123.34/123.24 (P9(f56(a2),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6734,6510,7280,187,161,186,169,190,185,160,162,166])).
% 123.34/123.24 cnf(7316,plain,
% 123.34/123.24 (P10(f56(a2),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167])).
% 123.34/123.24 cnf(7318,plain,
% 123.34/123.24 (~P15(a3,f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174])).
% 123.34/123.24 cnf(7381,plain,
% 123.34/123.24 (~E(a3,f5(a2,a2))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2])).
% 123.34/123.24 cnf(7382,plain,
% 123.34/123.24 (P11(f56(a2),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168])).
% 123.34/123.24 cnf(7386,plain,
% 123.34/123.24 (P6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204])).
% 123.34/123.24 cnf(7388,plain,
% 123.34/123.24 (~E(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2)),a3)),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194])).
% 123.34/123.24 cnf(7390,plain,
% 123.34/123.24 (E(f6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))),f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7280,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207])).
% 123.34/123.24 cnf(7392,plain,
% 123.34/123.24 (P6(f56(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7278,7280,7008,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157])).
% 123.34/123.24 cnf(7394,plain,
% 123.34/123.24 (E(f5(f4(f6(a2),a3),f56(a2)),f4(f6(a2),f56(a2)))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7278,7280,7008,6543,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238])).
% 123.34/123.24 cnf(7396,plain,
% 123.34/123.24 (E(f56(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6199,6786,6734,6510,7278,7280,7008,6543,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206])).
% 123.34/123.24 cnf(7399,plain,
% 123.34/123.24 (~P16(f48(x73991),f48(x73991))),
% 123.34/123.24 inference(rename_variables,[],[426])).
% 123.34/123.24 cnf(7401,plain,
% 123.34/123.24 (~P14(f55(x74011),f55(x74011))),
% 123.34/123.24 inference(rename_variables,[],[7241])).
% 123.34/123.24 cnf(7405,plain,
% 123.34/123.24 (~P17(f17(x74051),f17(x74051))),
% 123.34/123.24 inference(rename_variables,[],[428])).
% 123.34/123.24 cnf(7408,plain,
% 123.34/123.24 (~P16(f48(x74081),f48(x74081))),
% 123.34/123.24 inference(rename_variables,[],[426])).
% 123.34/123.24 cnf(7414,plain,
% 123.34/123.24 (P6(f5(f56(a2),f56(a2)))),
% 123.34/123.24 inference(scs_inference,[],[426,7399,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7026,6510,7278,7280,7008,6543,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205])).
% 123.34/123.24 cnf(7430,plain,
% 123.34/123.24 (P15(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2)),f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,7278,6987,7280,7105,7254,6298,6976,7051,146,7008,6543,6610,95,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303])).
% 123.34/123.24 cnf(7432,plain,
% 123.34/123.24 (E(f6(f5(f5(f4(a12,a13),f4(a12,a13)),f56(a2))),f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,7278,6987,7280,7105,7254,6298,6976,7051,146,7008,6543,6610,95,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215])).
% 123.34/123.24 cnf(7434,plain,
% 123.34/123.24 (~P14(f48(x74341),f48(x74341))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,7278,6987,7280,7105,7254,6298,6976,7051,146,7008,6543,6610,129,95,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219])).
% 123.34/123.24 cnf(7435,plain,
% 123.34/123.24 (P7(f48(x74351))),
% 123.34/123.24 inference(rename_variables,[],[129])).
% 123.34/123.24 cnf(7443,plain,
% 123.34/123.24 (P11(f5(f56(a2),f56(a2)),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,7278,6987,7280,7105,7254,6298,6976,7051,146,7008,6543,6610,129,95,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260])).
% 123.34/123.24 cnf(7447,plain,
% 123.34/123.24 (~P4(f4(f6(f5(f4(a12,a13),f4(a12,a13))),a2))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,7278,6987,7280,7105,7254,6298,6976,7051,6729,146,7008,6543,145,6611,6610,129,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243])).
% 123.34/123.24 cnf(7449,plain,
% 123.34/123.24 (P10(f5(f56(a2),f56(a2)),f56(a2))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,7278,6987,7280,7105,7254,6298,6976,7051,6729,146,7008,6543,145,6611,6610,129,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259])).
% 123.34/123.24 cnf(7451,plain,
% 123.34/123.24 (~P10(a3,f4(f54(x74511),f5(a8,a8)))),
% 123.34/123.24 inference(scs_inference,[],[6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,146,7008,6543,145,6611,6610,129,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234])).
% 123.34/123.24 cnf(7465,plain,
% 123.34/123.24 (~E(a3,f4(f54(x74651),f5(a8,a8)))),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171])).
% 123.34/123.24 cnf(7467,plain,
% 123.34/123.24 (~P9(a3,f4(f54(x74671),f5(a8,a8)))),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171,175])).
% 123.34/123.24 cnf(7469,plain,
% 123.34/123.24 (P7(f6(f4(f54(x74691),f5(a8,a8))))),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171,175,159])).
% 123.34/123.24 cnf(7471,plain,
% 123.34/123.24 (~P11(a3,f4(f54(x74711),f5(a8,a8)))),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171,175,159,177])).
% 123.34/123.24 cnf(7473,plain,
% 123.34/123.24 (~E(f5(f4(f54(x74731),f5(a8,a8)),f4(f54(x74731),f5(a8,a8))),a3)),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171,175,159,177,199])).
% 123.34/123.24 cnf(7477,plain,
% 123.34/123.24 (~P15(f5(a3,a3),f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6164,6637,426,7399,7408,428,7405,7241,7401,6199,6217,6223,6224,6786,6236,6237,7262,6734,7220,6909,7026,6510,6824,6502,7278,6987,7280,7105,7254,6298,6976,7051,6729,92,146,7008,6543,145,6611,6610,99,129,7435,95,96,187,161,186,169,190,185,160,162,166,165,164,189,167,174,191,188,163,22,15,17,27,40,37,28,41,47,54,10,39,12,52,49,26,14,9,50,42,4,21,32,45,20,24,30,53,31,51,25,48,2556,55,7,8,43,36,46,44,13,23,16,56,34,18,6,35,19,57,38,33,11,5,29,2,168,195,204,194,207,157,238,206,72,77,78,80,83,71,81,3,205,76,60,85,74,277,240,200,248,303,215,219,267,247,198,260,261,243,259,234,274,290,2568,2846,2843,1247,171,175,159,177,199,269,271])).
% 123.34/123.24 cnf(7497,plain,
% 123.34/123.24 (P9(f56(f4(a12,a13)),a3)),
% 123.34/123.24 inference(scs_inference,[],[7194,7469,161,185,190,166,187,164,169,162,160])).
% 123.34/123.24 cnf(7503,plain,
% 123.34/123.24 (~P15(a3,f6(f4(f54(x75031),f5(a8,a8))))),
% 123.34/123.24 inference(scs_inference,[],[7194,7469,161,185,190,166,187,164,169,162,160,186,165,174])).
% 123.34/123.24 cnf(7509,plain,
% 123.34/123.24 (P10(f56(f4(a12,a13)),f56(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[7194,7469,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167])).
% 123.34/123.24 cnf(7571,plain,
% 123.34/123.24 (P11(f56(f4(a12,a13)),f56(f4(a12,a13)))),
% 123.34/123.24 inference(scs_inference,[],[6200,7015,7194,7469,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168])).
% 123.34/123.24 cnf(7573,plain,
% 123.34/123.24 (P6(f4(f6(f4(f54(x75731),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.24 inference(scs_inference,[],[6200,7015,7194,7469,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204])).
% 123.34/123.24 cnf(7577,plain,
% 123.34/123.24 (~E(f4(f6(f4(f54(x75771),f5(a8,a8))),f56(f4(a12,a13))),a3)),
% 123.34/123.24 inference(scs_inference,[],[6200,7015,7194,7469,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194])).
% 123.34/123.24 cnf(7581,plain,
% 123.34/123.25 (E(f6(f4(f6(f4(f54(x75811),f5(a8,a8))),f5(a13,a13))),f6(f4(f54(x75811),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[6200,7015,7194,7469,6774,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207])).
% 123.34/123.25 cnf(7583,plain,
% 123.34/123.25 (P6(f56(f4(f54(x75831),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[6200,7015,7194,7465,7469,6774,6510,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157])).
% 123.34/123.25 cnf(7584,plain,
% 123.34/123.25 (P6(f4(f54(x75841),f5(a8,a8)))),
% 123.34/123.25 inference(rename_variables,[],[6510])).
% 123.34/123.25 cnf(7589,plain,
% 123.34/123.25 (~P16(f49(x75891),f49(x75891))),
% 123.34/123.25 inference(rename_variables,[],[436])).
% 123.34/123.25 cnf(7590,plain,
% 123.34/123.25 (~P14(f6(f5(a1,a13)),f6(a2))),
% 123.34/123.25 inference(scs_inference,[],[436,6200,7015,6796,7194,7465,6428,7469,6774,6992,6510,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77])).
% 123.34/123.25 cnf(7593,plain,
% 123.34/123.25 (~P17(f6(f4(a12,a13)),a12)),
% 123.34/123.25 inference(scs_inference,[],[6732,436,6200,7015,7125,6796,7194,7465,6428,7469,6774,7026,6744,6992,6996,6510,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80])).
% 123.34/123.25 cnf(7595,plain,
% 123.34/123.25 (~P16(f49(x75951),f49(x75951))),
% 123.34/123.25 inference(rename_variables,[],[436])).
% 123.34/123.25 cnf(7597,plain,
% 123.34/123.25 (~E(f5(a13,a2),f5(a13,a3))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,6200,7015,6834,7125,6796,7194,7465,6428,7469,6774,6249,7026,6744,6992,6996,6510,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3])).
% 123.34/123.25 cnf(7599,plain,
% 123.34/123.25 (P6(f5(f56(f4(a12,a13)),f56(f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,6200,7015,6834,7125,6796,7194,7465,6428,7469,6774,6249,7026,6744,6992,6996,6510,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3,205])).
% 123.34/123.25 cnf(7602,plain,
% 123.34/123.25 (P12(f53(x76021),f53(x76021))),
% 123.34/123.25 inference(rename_variables,[],[6162])).
% 123.34/123.25 cnf(7606,plain,
% 123.34/123.25 (P13(f53(x76061),f53(x76061))),
% 123.34/123.25 inference(rename_variables,[],[6168])).
% 123.34/123.25 cnf(7618,plain,
% 123.34/123.25 (E(f56(f5(f4(a12,a13),f4(a12,a13))),f5(f56(f4(a12,a13)),f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,6162,7602,6200,7015,6834,7308,7125,6796,6738,7194,7465,6428,6460,7469,7447,6168,7606,6774,6653,6249,7026,6744,6992,6996,7083,7049,7051,7069,6510,7584,6734,6752,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3,205,68,67,69,70,60,76,85,74,277,199,240])).
% 123.34/123.25 cnf(7626,plain,
% 123.34/123.25 (E(f6(f5(f4(a12,a13),f4(a12,a13))),f6(f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,6162,7602,6315,6200,7015,6834,7308,7125,6796,6738,7194,7465,6428,6460,7469,7447,6168,7606,6774,6653,6249,7026,6744,6992,6996,7083,7049,7051,7069,146,6510,7584,6734,6278,6752,99,95,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3,205,68,67,69,70,60,76,85,74,277,199,240,200,303,248,215])).
% 123.34/123.25 cnf(7628,plain,
% 123.34/123.25 (~P14(f49(x76281),f49(x76281))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,7595,6162,7602,6315,6200,7015,6834,7308,7125,6796,6738,7194,7465,6428,6460,7469,7447,6168,7606,6774,6653,6249,7026,6744,6992,6996,7083,7049,7051,7069,146,6510,7584,6734,6278,6752,99,130,95,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3,205,68,67,69,70,60,76,85,74,277,199,240,200,303,248,215,219])).
% 123.34/123.25 cnf(7637,plain,
% 123.34/123.25 (~P4(f4(f6(f4(f54(x76371),f5(a8,a8))),a1))),
% 123.34/123.25 inference(scs_inference,[],[6732,436,7589,7595,6162,7602,6313,6315,6200,7015,6834,7308,7125,6796,6738,7194,7465,6428,6460,7469,7447,6168,7606,6774,6653,6249,7026,6744,6992,6996,7083,7049,7051,7069,146,325,6510,7584,6280,6734,6278,6752,99,130,95,98,161,185,190,166,187,164,169,162,160,186,165,174,191,189,167,163,188,15,27,40,22,28,37,47,52,9,12,21,10,17,42,49,26,45,20,32,39,41,50,54,48,4,53,14,51,7,30,2556,24,46,8,36,13,25,6,55,18,19,31,29,43,23,56,44,16,57,34,35,11,38,33,5,2,168,204,195,194,206,207,157,296,72,77,78,83,80,71,81,3,205,68,67,69,70,60,76,85,74,277,199,240,200,303,248,215,219,267,247,260,243])).
% 123.34/123.25 cnf(7664,plain,
% 123.34/123.25 (P11(f5(f56(a1),f56(a1)),a3)),
% 123.34/123.25 inference(scs_inference,[],[7215,6518,6543,190,161,185,166,169,162])).
% 123.34/123.25 cnf(7666,plain,
% 123.34/123.25 (P4(f4(f6(a1),a3))),
% 123.34/123.25 inference(scs_inference,[],[7215,6518,6543,190,161,185,166,169,162,187])).
% 123.34/123.25 cnf(7674,plain,
% 123.34/123.25 (P9(f5(f56(a1),f56(a1)),a3)),
% 123.34/123.25 inference(scs_inference,[],[7215,6518,6543,190,161,185,166,169,162,187,186,165,164,160])).
% 123.34/123.25 cnf(7680,plain,
% 123.34/123.25 (~P15(a3,f6(a1))),
% 123.34/123.25 inference(scs_inference,[],[7215,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174])).
% 123.34/123.25 cnf(7743,plain,
% 123.34/123.25 (~E(f5(a13,a3),f5(a13,a2))),
% 123.34/123.25 inference(scs_inference,[],[6201,7597,7215,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2])).
% 123.34/123.25 cnf(7746,plain,
% 123.34/123.25 (P6(f4(f6(a1),f5(f56(a1),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[6201,7597,7215,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204])).
% 123.34/123.25 cnf(7750,plain,
% 123.34/123.25 (P6(f5(f56(f4(a12,a13)),f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[6201,7597,7215,7392,7618,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65])).
% 123.34/123.25 cnf(7751,plain,
% 123.34/123.25 (E(f6(f4(f6(a1),f5(f56(a1),f56(a1)))),f6(a1))),
% 123.34/123.25 inference(scs_inference,[],[6201,7597,7215,7392,7618,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207])).
% 123.34/123.25 cnf(7755,plain,
% 123.34/123.25 (~E(f4(f6(a1),f5(f56(a1),f56(a1))),a3)),
% 123.34/123.25 inference(scs_inference,[],[6201,7597,7215,7392,7618,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194])).
% 123.34/123.25 cnf(7760,plain,
% 123.34/123.25 (~P16(f46(x77601),f46(x77601))),
% 123.34/123.25 inference(rename_variables,[],[446])).
% 123.34/123.25 cnf(7762,plain,
% 123.34/123.25 (~P14(f48(x77621),f48(x77621))),
% 123.34/123.25 inference(rename_variables,[],[7434])).
% 123.34/123.25 cnf(7768,plain,
% 123.34/123.25 (~P17(f19(x77681),f19(x77681))),
% 123.34/123.25 inference(rename_variables,[],[448])).
% 123.34/123.25 cnf(7772,plain,
% 123.34/123.25 (~P16(f46(x77721),f46(x77721))),
% 123.34/123.25 inference(rename_variables,[],[446])).
% 123.34/123.25 cnf(7773,plain,
% 123.34/123.25 (E(f42(a1,a1),f42(a2,a2))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,448,7768,7434,7762,6201,6225,6238,6239,7597,7209,7215,6445,6564,7229,7392,7618,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3])).
% 123.34/123.25 cnf(7776,plain,
% 123.34/123.25 (P6(f5(f5(f56(a1),f56(a1)),f5(f56(a1),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,448,7768,7434,7762,6201,6225,6238,6239,7597,7209,7215,6445,6564,7229,7392,7618,6518,6543,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205])).
% 123.34/123.25 cnf(7787,plain,
% 123.34/123.25 (E(a12,f6(f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,448,7768,7434,7762,6201,6225,6238,6239,7597,6742,7209,7215,7451,7593,6445,6564,6494,7229,7392,7618,7292,7467,7471,6830,6518,6543,7073,6611,6610,6752,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180])).
% 123.34/123.25 cnf(7804,plain,
% 123.34/123.25 (~P14(f52(x78041),f52(x78041))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,448,7768,7434,7762,6201,6225,6238,6239,7597,6170,6742,7209,7215,7451,7593,6445,6564,6494,7229,7392,7618,7292,7467,7471,394,6830,6774,146,6518,6543,7073,141,143,6611,6610,6752,126,95,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180,277,266,200,248,303,247,267,219])).
% 123.34/123.25 cnf(7817,plain,
% 123.34/123.25 (~P15(f5(a3,a3),f6(a1))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,448,7768,7434,7762,6201,6225,6238,6239,7597,6170,6742,7209,7215,7451,7593,6445,6564,6494,7229,7392,7618,7292,7467,7471,394,6830,6774,146,6518,6543,7073,141,143,6611,6496,6610,6752,126,95,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180,277,266,200,248,303,247,267,219,263,260,309,261,259,271])).
% 123.34/123.25 cnf(7839,plain,
% 123.34/123.25 (P10(f5(f5(f56(a1),f56(a1)),f5(f56(a1),f56(a1))),f5(f56(a1),f56(a1)))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,7772,448,7768,7434,7762,6201,6225,6238,6239,7597,6170,6742,7209,6767,7215,7451,7593,6437,7011,6445,6662,6564,6494,7229,7392,7618,7292,7467,7471,394,6830,94,6774,92,146,6518,6543,7073,141,143,6611,6496,6610,6752,126,131,95,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180,277,266,200,248,303,247,267,219,263,260,309,261,259,271,269,274,291,290,2568,2846,2843,1286,73,302,301])).
% 123.34/123.25 cnf(7841,plain,
% 123.34/123.25 (~P4(f4(f6(a1),a1))),
% 123.34/123.25 inference(scs_inference,[],[446,7760,7772,448,7768,7434,7762,6201,6225,6238,6239,7597,6170,6742,7209,6767,7215,7451,7593,6437,7011,6445,6662,6564,6494,7229,7392,7618,7292,7467,7471,394,6618,6830,94,6774,92,146,6518,6543,6280,7073,141,143,6611,6496,6610,6752,126,131,95,98,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180,277,266,200,248,303,247,267,219,263,260,309,261,259,271,269,274,291,290,2568,2846,2843,1286,73,302,301,258])).
% 123.34/123.25 cnf(7845,plain,
% 123.34/123.25 (P18(f4(f6(a1),a1))),
% 123.34/123.25 inference(scs_inference,[],[6777,446,7760,7772,448,7768,7434,7762,6201,6225,6238,6239,7597,6170,6742,7209,6767,7215,7451,7593,6437,7011,6445,6662,6564,6494,7229,7392,7618,7292,7467,7471,394,6618,6830,94,6774,92,146,6518,6543,6280,7194,7073,141,143,6611,6496,6610,6752,126,131,95,98,190,161,185,166,169,162,187,186,165,164,160,167,189,174,191,188,163,22,15,40,9,27,28,17,26,10,37,21,52,12,47,49,46,53,4,30,54,24,39,32,42,20,6,45,50,36,41,7,25,18,55,8,44,51,56,48,14,19,13,2556,16,29,31,23,43,38,34,33,11,57,35,5,2,168,204,195,65,207,206,194,238,72,77,78,82,83,80,81,71,3,205,76,60,85,74,179,180,277,266,200,248,303,247,267,219,263,260,309,261,259,271,269,274,291,290,2568,2846,2843,1286,73,302,301,258,308,265])).
% 123.34/123.25 cnf(7859,plain,
% 123.34/123.25 (P4(f4(f6(a2),a3))),
% 123.34/123.25 inference(scs_inference,[],[7414,6543,132,185,161,190,166,187])).
% 123.34/123.25 cnf(7875,plain,
% 123.34/123.25 (P10(f5(f56(a2),f56(a2)),f5(f56(a2),f56(a2)))),
% 123.34/123.25 inference(scs_inference,[],[7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167])).
% 123.34/123.25 cnf(7941,plain,
% 123.34/123.25 (P11(f5(f56(a2),f56(a2)),f5(f56(a2),f56(a2)))),
% 123.34/123.25 inference(scs_inference,[],[6202,7010,7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168])).
% 123.34/123.25 cnf(7947,plain,
% 123.34/123.25 (P6(f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[6202,7010,7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204])).
% 123.34/123.25 cnf(7951,plain,
% 123.34/123.25 (E(f6(f4(f6(a2),f5(f56(a2),f56(a2)))),f6(a2))),
% 123.34/123.25 inference(scs_inference,[],[6202,7010,7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207])).
% 123.34/123.25 cnf(7953,plain,
% 123.34/123.25 (E(f5(f4(f6(a2),a3),f5(f56(a2),f56(a2))),f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[6202,7010,7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238])).
% 123.34/123.25 cnf(7955,plain,
% 123.34/123.25 (~E(f4(f6(a2),f5(f56(a2),f56(a2))),a3)),
% 123.34/123.25 inference(scs_inference,[],[6202,7010,7414,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194])).
% 123.34/123.25 cnf(7958,plain,
% 123.34/123.25 (~P16(f47(x79581),f47(x79581))),
% 123.34/123.25 inference(rename_variables,[],[455])).
% 123.34/123.25 cnf(7960,plain,
% 123.34/123.25 (~P14(f55(x79601),f55(x79601))),
% 123.34/123.25 inference(rename_variables,[],[7241])).
% 123.34/123.25 cnf(7965,plain,
% 123.34/123.25 (~P17(f55(x79651),f55(x79651))),
% 123.34/123.25 inference(rename_variables,[],[362])).
% 123.34/123.25 cnf(7969,plain,
% 123.34/123.25 (~P16(f47(x79691),f47(x79691))),
% 123.34/123.25 inference(rename_variables,[],[455])).
% 123.34/123.25 cnf(7970,plain,
% 123.34/123.25 (~E(a13,f5(a13,a2))),
% 123.34/123.25 inference(scs_inference,[],[362,7965,455,7958,6202,6226,7743,7817,7010,6666,7414,6429,7751,7241,7960,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3])).
% 123.34/123.25 cnf(7971,plain,
% 123.34/123.25 (P6(f5(f5(f56(a2),f56(a2)),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[362,7965,455,7958,6202,6226,7743,7817,7010,6666,7414,6429,7751,7241,7960,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205])).
% 123.34/123.25 cnf(7977,plain,
% 123.34/123.25 (~P9(a3,f4(f55(a1),f14(a1)))),
% 123.34/123.25 inference(scs_inference,[],[362,7965,455,7958,6202,6226,7743,7817,7010,6666,6520,7666,7414,7845,7841,6429,7751,6247,7241,7960,6514,6524,6543,132,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85])).
% 123.34/123.25 cnf(7981,plain,
% 123.34/123.25 (~P16(f6(f4(f54(x79811),f5(a8,a8))),f54(x79811))),
% 123.34/123.25 inference(scs_inference,[],[362,7965,455,7958,6202,6226,7743,7817,7010,6666,6520,7666,7414,7845,7841,6429,7746,7755,7751,6247,6516,7241,7960,6514,6534,6524,6543,7469,125,132,95,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85,74,179,202])).
% 123.34/123.25 cnf(7982,plain,
% 123.34/123.25 (P7(f6(f4(f54(x79821),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[7469])).
% 123.34/123.25 cnf(7983,plain,
% 123.34/123.25 (E(f6(f4(f54(x79831),f5(a8,a8))),f54(x79831))),
% 123.34/123.25 inference(rename_variables,[],[6516])).
% 123.34/123.25 cnf(7985,plain,
% 123.34/123.25 (~P17(f6(f4(f54(x79851),f5(a8,a8))),f54(x79851))),
% 123.34/123.25 inference(scs_inference,[],[362,7965,455,7958,6202,6226,7743,7817,7010,6666,6520,7666,7414,7845,7841,6429,7746,7755,7751,6247,6516,7983,7241,7960,6514,6534,6524,6543,7469,7982,125,132,95,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85,74,179,202,203])).
% 123.34/123.25 cnf(8008,plain,
% 123.34/123.25 (~P14(f47(x80081),f47(x80081))),
% 123.34/123.25 inference(scs_inference,[],[6643,362,7965,455,7958,7969,6202,6226,7743,7817,7010,6666,7449,7443,6520,7666,7414,7845,7841,6429,7746,7755,7751,6247,6516,7983,7241,7960,6857,6514,6534,6524,6774,6729,146,6543,6253,7469,7982,113,6734,6610,125,132,95,96,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85,74,179,202,203,266,240,277,200,198,248,303,247,267,219])).
% 123.34/123.25 cnf(8011,plain,
% 123.34/123.25 (~P4(f4(f6(a2),a1))),
% 123.34/123.25 inference(scs_inference,[],[6643,362,7965,455,7958,7969,6202,6226,6800,7743,7817,7010,6666,7449,7443,6520,7666,7414,7845,7841,6429,7746,7755,7751,6247,6516,7983,7241,7960,6857,6514,6534,6524,6774,6729,146,6543,6253,7469,7982,6280,113,6734,6610,125,132,95,96,98,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85,74,179,202,203,266,240,277,200,198,248,303,247,267,219,258])).
% 123.34/123.25 cnf(8014,plain,
% 123.34/123.25 (P6(f4(f54(x80141),f5(a8,a8)))),
% 123.34/123.25 inference(rename_variables,[],[6510])).
% 123.34/123.25 cnf(8023,plain,
% 123.34/123.25 (P11(f5(f4(a12,a13),f5(f56(a2),f56(a2))),f4(a12,a13))),
% 123.34/123.25 inference(scs_inference,[],[6643,362,7965,455,7958,7969,6967,6202,6226,6800,7743,7817,7010,6666,6500,7449,7443,6520,7666,7414,7845,7841,6429,7746,7755,7751,6247,6516,7983,7241,7960,6857,6514,6534,6524,6774,6729,146,6510,8014,6543,6253,7469,7982,6280,113,6734,6278,6610,6752,125,132,95,96,98,185,161,190,166,187,186,169,164,162,160,165,174,167,163,188,191,189,9,22,10,40,12,15,52,21,27,26,37,46,28,17,20,6,49,18,41,32,54,25,47,30,4,56,39,53,8,24,36,51,14,42,48,50,23,45,55,31,19,7,44,43,2556,29,13,16,57,34,35,38,11,5,33,2,168,298,195,204,206,207,238,194,72,77,78,83,81,80,71,3,205,61,76,60,85,74,179,202,203,266,240,277,200,198,248,303,247,267,219,258,242,263,241,262,260])).
% 123.34/123.25 cnf(8060,plain,
% 123.34/123.25 (P4(f4(f44(x80601),a3))),
% 123.34/123.25 inference(scs_inference,[],[7750,133,185,161,190,166,187])).
% 123.34/123.25 cnf(8151,plain,
% 123.34/123.25 (E(f6(f4(f6(f4(a12,a13)),f5(f56(f4(a12,a13)),f4(a12,a13)))),f6(f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[6203,6806,7750,7469,7073,6518,133,185,161,190,166,187,186,169,164,160,162,165,188,174,189,163,191,167,10,40,9,15,22,12,37,21,27,17,26,6,52,18,56,46,25,53,36,54,49,42,28,39,8,41,30,4,47,20,14,31,32,24,45,50,2556,13,51,55,48,23,38,2843,43,44,7,16,29,5,19,34,35,11,57,33,2,168,204,195,206,207])).
% 123.34/123.25 cnf(8157,plain,
% 123.34/123.25 (~P16(f44(x81571),f44(x81571))),
% 123.34/123.25 inference(rename_variables,[],[465])).
% 123.34/123.25 cnf(8159,plain,
% 123.34/123.25 (~P14(f52(x81591),f52(x81591))),
% 123.34/123.25 inference(rename_variables,[],[7804])).
% 123.34/123.25 cnf(8163,plain,
% 123.34/123.25 (~P17(f21(x81631),f21(x81631))),
% 123.34/123.25 inference(rename_variables,[],[467])).
% 123.34/123.25 cnf(8171,plain,
% 123.34/123.25 (~P16(f44(x81711),f44(x81711))),
% 123.34/123.25 inference(rename_variables,[],[465])).
% 123.34/123.25 cnf(8172,plain,
% 123.34/123.25 (P6(f5(f5(f56(f4(a12,a13)),f4(a12,a13)),f5(f56(f4(a12,a13)),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[465,8157,467,8163,7804,8159,6203,6227,6240,6241,6806,6604,7750,6668,7237,6560,7209,7469,7073,6518,133,185,161,190,166,187,186,169,164,160,162,165,188,174,189,163,191,167,10,40,9,15,22,12,37,21,27,17,26,6,52,18,56,46,25,53,36,54,49,42,28,39,8,41,30,4,47,20,14,31,32,24,45,50,2556,13,51,55,48,23,38,2843,43,44,7,16,29,5,19,34,35,11,57,33,2,168,204,195,206,207,84,194,72,77,78,81,83,80,3,71,205])).
% 123.34/123.25 cnf(8180,plain,
% 123.34/123.25 (~P16(a12,f6(f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[465,8157,467,8163,7804,8159,6203,6227,6240,6241,6806,7859,8011,7787,6604,7750,6668,7075,7237,6560,7209,6987,6271,6976,7051,7469,7073,6518,6611,133,185,161,190,166,187,186,169,164,160,162,165,188,174,189,163,191,167,10,40,9,15,22,12,37,21,27,17,26,6,52,18,56,46,25,53,36,54,49,42,28,39,8,41,30,4,47,20,14,31,32,24,45,50,2556,13,51,55,48,23,38,2843,43,44,7,16,29,5,19,34,35,11,57,33,2,168,204,195,206,207,84,194,72,77,78,81,83,80,3,71,205,76,60,85,74,202])).
% 123.34/123.25 cnf(8190,plain,
% 123.34/123.25 (E(f5(f42(f4(a12,a13),f4(a12,a13)),f4(a12,a13)),f4(a12,a13))),
% 123.34/123.25 inference(scs_inference,[],[465,8157,467,8163,7804,8159,6911,6203,6227,7107,6240,6241,6806,7859,8011,7787,6604,7750,6668,6269,7075,7237,6560,7209,6987,6271,6976,7051,7469,6859,7073,6496,6518,6611,6752,124,133,185,161,190,166,187,186,169,164,160,162,165,188,174,189,163,191,167,10,40,9,15,22,12,37,21,27,17,26,6,52,18,56,46,25,53,36,54,49,42,28,39,8,41,30,4,47,20,14,31,32,24,45,50,2556,13,51,55,48,23,38,2843,43,44,7,16,29,5,19,34,35,11,57,33,2,168,204,195,206,207,84,194,72,77,78,81,83,80,3,71,205,76,60,85,74,202,203,277,303,248])).
% 123.34/123.25 cnf(8201,plain,
% 123.34/123.25 (~P4(f4(a12,f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[465,8157,8171,467,8163,7804,8159,6911,6203,6227,7107,7382,6240,6241,6806,7859,8011,7787,6604,7750,6668,6269,7075,7237,6560,7077,7209,6987,6271,6976,7051,7069,7008,7469,6859,7073,120,6734,6496,6518,6611,6752,124,133,95,185,161,190,166,187,186,169,164,160,162,165,188,174,189,163,191,167,10,40,9,15,22,12,37,21,27,17,26,6,52,18,56,46,25,53,36,54,49,42,28,39,8,41,30,4,47,20,14,31,32,24,45,50,2556,13,51,55,48,23,38,2843,43,44,7,16,29,5,19,34,35,11,57,33,2,168,204,195,206,207,84,194,72,77,78,81,83,80,3,71,205,76,60,85,74,202,203,277,303,248,247,267,219,242,258])).
% 123.34/123.25 cnf(8231,plain,
% 123.34/123.25 (P4(f4(f45(x82311),a3))),
% 123.34/123.25 inference(scs_inference,[],[7192,134,185,166,187])).
% 123.34/123.25 cnf(8317,plain,
% 123.34/123.25 (~E(f5(a3,a13),f5(a2,a13))),
% 123.34/123.25 inference(scs_inference,[],[6204,7213,7192,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2])).
% 123.34/123.25 cnf(8320,plain,
% 123.34/123.25 (P6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[6204,7213,7192,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204])).
% 123.34/123.25 cnf(8326,plain,
% 123.34/123.25 (E(f6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f5(a13,a13))),f6(f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[6204,7213,7192,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207])).
% 123.34/123.25 cnf(8328,plain,
% 123.34/123.25 (~E(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f4(f6(f4(a12,a13)),f56(a1))),a3)),
% 123.34/123.25 inference(scs_inference,[],[6204,7213,7192,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194])).
% 123.34/123.25 cnf(8331,plain,
% 123.34/123.25 (~P14(f47(x83311),f47(x83311))),
% 123.34/123.25 inference(rename_variables,[],[8008])).
% 123.34/123.25 cnf(8335,plain,
% 123.34/123.25 (~P16(f45(x83351),f45(x83351))),
% 123.34/123.25 inference(rename_variables,[],[475])).
% 123.34/123.25 cnf(8338,plain,
% 123.34/123.25 (~P17(f53(x83381),f53(x83381))),
% 123.34/123.25 inference(rename_variables,[],[374])).
% 123.34/123.25 cnf(8343,plain,
% 123.34/123.25 (~E(a3,f5(a1,a2))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8008,8331,6204,7680,7213,7381,6581,7192,6442,6471,6691,6999,7581,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3])).
% 123.34/123.25 cnf(8346,plain,
% 123.34/123.25 (~P16(f45(x83461),f45(x83461))),
% 123.34/123.25 inference(rename_variables,[],[475])).
% 123.34/123.25 cnf(8347,plain,
% 123.34/123.25 (P6(f5(f4(f6(f4(a12,a13)),f56(a1)),f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8008,8331,6204,7680,7213,7381,6581,7192,6442,6471,6691,6999,7581,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205])).
% 123.34/123.25 cnf(8349,plain,
% 123.34/123.25 (P10(f56(a2),f56(a1))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8008,8331,6204,7129,7680,7213,7381,6581,7192,6442,6471,6691,6999,7581,6232,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75])).
% 123.34/123.25 cnf(8350,plain,
% 123.34/123.25 (~P10(a3,f4(f6(a2),f56(a2)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8008,8331,6204,7129,7680,7213,7381,6581,6736,7192,6442,6471,6691,6999,7581,6756,6232,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76])).
% 123.34/123.25 cnf(8352,plain,
% 123.34/123.25 (~P9(a3,f4(f6(a2),f56(a2)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8008,8331,6204,7129,7680,7213,7381,6581,6736,8201,8060,7192,6442,6471,6691,6999,7581,6756,6746,6232,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85])).
% 123.34/123.25 cnf(8353,plain,
% 123.34/123.25 (~P11(a3,f4(f6(a2),f56(a2)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8008,8331,6204,7129,7680,7213,7381,6581,6736,8201,8060,7192,6442,6471,6691,6999,7581,6756,6746,6760,6232,6248,6774,7280,134,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74])).
% 123.34/123.25 cnf(8366,plain,
% 123.34/123.25 (~P14(f45(x83661),f45(x83661))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,8008,8331,6204,7129,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6691,6999,7581,6756,6746,6760,6232,6248,6774,146,7280,7194,107,6734,6518,134,95,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219])).
% 123.34/123.25 cnf(8373,plain,
% 123.34/123.25 (~P9(a3,f4(f6(f4(a12,a13)),f56(a1)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,8008,8331,6204,7129,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6691,7198,6999,7581,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,134,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233])).
% 123.34/123.25 cnf(8387,plain,
% 123.34/123.25 (~P10(a3,f4(f6(f4(a12,a13)),f56(a1)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6999,7581,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176])).
% 123.34/123.25 cnf(8389,plain,
% 123.34/123.25 (P7(f6(f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6999,7581,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159])).
% 123.34/123.25 cnf(8391,plain,
% 123.34/123.25 (~P11(a3,f4(f6(f4(a12,a13)),f56(a1)))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6999,7581,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159,177])).
% 123.34/123.25 cnf(8393,plain,
% 123.34/123.25 (P6(f56(f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6999,7581,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159,177,157])).
% 123.34/123.25 cnf(8396,plain,
% 123.34/123.25 (P6(f56(f4(f54(x83961),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[7583])).
% 123.34/123.25 cnf(8398,plain,
% 123.34/123.25 (E(f5(a8,a8),f56(f4(f54(x83981),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6512,6999,7581,7583,8396,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159,177,157,201,179])).
% 123.34/123.25 cnf(8400,plain,
% 123.34/123.25 (~E(f5(f4(f6(f4(a12,a13)),f56(a1)),f4(f6(f4(a12,a13)),f56(a1))),a3)),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6512,6999,7581,7583,8396,6756,6746,6540,6760,6232,6248,6774,146,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159,177,157,201,179,199])).
% 123.34/123.25 cnf(8405,plain,
% 123.34/123.25 (P11(f56(f4(f54(x84051),f5(a8,a8))),a3)),
% 123.34/123.25 inference(scs_inference,[],[374,8338,475,8335,8346,6401,8008,8331,6204,7129,6359,7680,7213,7381,7304,6581,6736,8201,8060,7509,7571,7192,6442,6471,6473,6691,7198,6512,6999,7581,7583,8396,6756,6746,6540,6760,6232,7467,6248,6774,146,6510,7280,7194,107,6734,6518,6278,134,97,95,96,185,166,187,161,190,186,169,160,162,164,188,189,165,163,167,191,174,10,40,22,9,12,21,37,15,6,18,52,36,27,54,17,20,28,49,41,56,47,42,26,53,30,46,31,25,39,8,32,4,13,50,51,24,44,16,55,23,14,45,19,43,2556,48,11,38,7,5,29,57,2843,34,35,33,2,168,204,195,206,207,194,77,78,72,82,81,83,80,3,71,205,75,76,60,85,74,200,277,303,248,247,267,219,242,260,233,259,274,310,2568,2846,1313,170,176,159,177,157,201,179,199,270,2503])).
% 123.34/123.25 cnf(8426,plain,
% 123.34/123.25 (E(f5(a3,f4(f6(a2),f5(f56(a2),f56(a2)))),f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[7947,8389,186,185,161,187,166,190,169,160,188,164])).
% 123.34/123.25 cnf(8440,plain,
% 123.34/123.25 (~P15(a3,f6(f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[7947,8389,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174])).
% 123.34/123.25 cnf(8508,plain,
% 123.34/123.25 (~P14(f45(x85081),f45(x85081))),
% 123.34/123.25 inference(rename_variables,[],[8366])).
% 123.34/123.25 cnf(8512,plain,
% 123.34/123.25 (~P16(f35(x85121),f35(x85121))),
% 123.34/123.25 inference(rename_variables,[],[485])).
% 123.34/123.25 cnf(8515,plain,
% 123.34/123.25 (~P17(f23(x85151),f23(x85151))),
% 123.34/123.25 inference(rename_variables,[],[487])).
% 123.34/123.25 cnf(8523,plain,
% 123.34/123.25 (P6(f5(f4(f6(a2),f5(f56(a2),f56(a2))),f4(f6(a2),f5(f56(a2),f56(a2)))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6706,7947,8389,7951,7262,6859,6543,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205])).
% 123.34/123.25 cnf(8542,plain,
% 123.34/123.25 (P15(f4(f6(f4(f6(f4(a12,a13)),f56(a1))),f5(a13,a13)),f6(f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6423,6583,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,7262,7583,6541,6774,146,6859,6543,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303])).
% 123.34/123.25 cnf(8548,plain,
% 123.34/123.25 (~P14(f6(f4(a12,a13)),a12)),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7262,7583,6541,6774,146,6859,143,7073,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219])).
% 123.34/123.25 cnf(8552,plain,
% 123.34/123.25 (~P9(a3,f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7262,7583,6541,6774,146,6859,143,7073,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233])).
% 123.34/123.25 cnf(8554,plain,
% 123.34/123.25 (~P10(a3,f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7262,7583,6541,6774,146,6859,143,7073,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233,234])).
% 123.34/123.25 cnf(8556,plain,
% 123.34/123.25 (P10(f5(f4(f6(a2),f5(f56(a2),f56(a2))),f4(f6(a2),f5(f56(a2),f56(a2)))),a3)),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7262,7583,6541,6774,146,6859,143,7073,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233,234,259])).
% 123.34/123.25 cnf(8568,plain,
% 123.34/123.25 (~E(a3,f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6231,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7282,7308,7262,7583,6541,6774,146,7008,6859,143,7073,6734,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233,234,259,270,269,274,2846,2568,1326,171])).
% 123.34/123.25 cnf(8570,plain,
% 123.34/123.25 (P7(f6(f4(f6(a2),f5(f56(a2),f56(a2)))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6231,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7282,7308,7262,7583,6541,6774,146,7008,6859,143,7073,6734,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233,234,259,270,269,274,2846,2568,1326,171,159])).
% 123.34/123.25 cnf(8572,plain,
% 123.34/123.25 (~P11(a3,f4(f6(a2),f5(f56(a2),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[485,8512,487,8515,8366,8508,6205,6229,6231,6242,6243,6802,6423,6583,6597,8231,8350,8352,8353,6706,7394,8398,7947,7955,8389,7951,7637,8180,7282,7308,7262,7583,6541,6774,146,7008,6859,143,7073,6734,6543,6611,6278,95,186,185,161,187,166,190,169,160,188,164,163,189,165,162,167,191,174,10,22,40,12,21,52,6,9,49,28,41,56,47,37,26,15,27,20,31,54,36,18,42,17,32,46,13,30,53,39,8,25,24,55,51,50,45,16,14,4,29,11,44,48,19,5,7,23,2556,35,43,33,57,38,2843,34,2,168,204,195,194,78,77,72,83,81,80,3,71,205,76,60,85,74,230,179,201,200,277,247,303,248,267,219,260,233,234,259,270,269,274,2846,2568,1326,171,159,177])).
% 123.34/123.25 cnf(8591,plain,
% 123.34/123.25 (P4(f4(f35(x85911),a3))),
% 123.34/123.25 inference(scs_inference,[],[6979,135,161,187])).
% 123.34/123.25 cnf(8679,plain,
% 123.34/123.25 (~E(a3,f5(a2,a1))),
% 123.34/123.25 inference(scs_inference,[],[6206,6770,6979,8570,6969,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2])).
% 123.34/123.25 cnf(8688,plain,
% 123.34/123.25 (E(f6(f4(f6(a1),f4(f6(f4(f53(x86881),a8)),f4(a12,a13)))),f6(a1))),
% 123.34/123.25 inference(scs_inference,[],[6206,6770,6979,8570,6969,6541,6774,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207])).
% 123.34/123.25 cnf(8693,plain,
% 123.34/123.25 (~P14(f50(x86931),f50(x86931))),
% 123.34/123.25 inference(rename_variables,[],[7036])).
% 123.34/123.25 cnf(8697,plain,
% 123.34/123.25 (~P16(f36(x86971),f36(x86971))),
% 123.34/123.25 inference(rename_variables,[],[495])).
% 123.34/123.25 cnf(8700,plain,
% 123.34/123.25 (~P17(f54(x87001),f54(x87001))),
% 123.34/123.25 inference(rename_variables,[],[386])).
% 123.34/123.25 cnf(8704,plain,
% 123.34/123.25 (~E(a13,f5(a2,a13))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,6206,8317,6770,6663,6436,6475,6904,7477,6979,8570,7430,7432,7036,8693,6969,6541,6774,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3])).
% 123.34/123.25 cnf(8706,plain,
% 123.34/123.25 (~P16(f36(x87061),f36(x87061))),
% 123.34/123.25 inference(rename_variables,[],[495])).
% 123.34/123.25 cnf(8713,plain,
% 123.34/123.25 (~P10(a3,f4(f55(a2),f14(a2)))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,6206,8317,6770,6663,6740,6430,6436,6475,6904,7477,6979,8570,7430,7432,7036,8693,6969,6756,6541,6774,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76])).
% 123.34/123.25 cnf(8715,plain,
% 123.34/123.25 (~P9(a3,f4(f55(a2),f14(a2)))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,6206,8317,6770,6663,6740,6430,6436,6475,6904,7477,6979,8570,7045,7430,7432,7036,8693,6969,7859,6756,6746,6541,6774,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85])).
% 123.34/123.25 cnf(8716,plain,
% 123.34/123.25 (~P11(a3,f4(f55(a2),f14(a2)))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,6206,8317,6770,6663,6740,6430,6436,6475,6904,7477,6979,8570,7045,7430,7432,7036,8693,6969,7859,6756,6746,6760,6541,6774,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74])).
% 123.34/123.25 cnf(8721,plain,
% 123.34/123.25 (~E(f5(f4(f6(a2),f5(f56(a2),f56(a2))),f4(f6(a2),f5(f56(a2),f56(a2)))),a3)),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,6206,8317,6770,6663,6740,7196,6430,6436,6475,6904,7477,8568,6979,8570,7045,7430,7432,7036,8693,6969,7859,6756,6746,6760,6541,6774,8389,7947,7192,6496,6518,135,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74,229,179,199])).
% 123.34/123.25 cnf(8723,plain,
% 123.34/123.25 (E(f5(f5(f41(a2,a2),a2),f40(a2,a2)),a2)),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,6206,8317,6770,6663,6740,7196,6430,6436,6475,6904,7477,8568,6979,8570,7045,7430,7432,7036,8693,6969,7859,6756,6746,2621,6760,6541,6774,8389,7947,7192,6496,6518,135,96,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74,229,179,199,277])).
% 123.34/123.25 cnf(8733,plain,
% 123.34/123.25 (~P14(f36(x87331),f36(x87331))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,8706,6206,7316,6820,8317,6770,6663,6740,7196,6430,6436,6475,6904,7477,8568,6979,8570,7045,7430,7432,7036,8693,6969,7859,6756,6746,2621,6760,6541,6774,8389,7947,7192,105,7073,6734,6496,6518,6610,135,136,96,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74,229,179,199,277,303,247,248,267,219])).
% 123.34/123.25 cnf(8745,plain,
% 123.34/123.25 (P9(f5(f5(f56(a1),f56(a1)),f56(a1)),f56(a1))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,8706,6206,7316,6820,8317,6770,6663,6740,7196,6430,6436,6475,6904,7477,8568,6979,6981,7971,8570,7045,7430,7432,7036,8693,6969,7107,7859,6756,6746,2621,6760,6541,6774,8389,7947,7192,105,7414,7073,6734,6496,6518,6610,135,136,95,96,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74,229,179,199,277,303,247,248,267,219,309,260,234,259,274])).
% 123.34/123.25 cnf(8755,plain,
% 123.34/123.25 (P7(f6(f4(f6(f4(f53(x87551),a8)),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[386,8700,495,8697,8706,6206,7316,6820,8317,6770,6663,6740,7196,6430,6436,6475,6904,6940,7477,8568,6979,6981,7971,8570,7045,7430,7432,7036,8693,6969,7107,7859,6756,6746,2621,6760,6541,6774,8389,7947,7192,105,7414,7073,6734,6496,6518,6610,135,136,95,96,161,187,190,166,169,185,186,188,163,160,162,164,189,191,165,167,174,10,21,12,40,22,6,9,41,49,37,28,52,27,26,54,56,13,30,15,17,47,53,46,20,39,55,24,42,18,31,36,8,32,14,25,16,45,51,50,33,11,48,29,44,19,4,2556,23,57,38,5,7,35,2843,43,34,2,168,296,204,195,207,194,78,77,72,82,81,83,80,3,71,205,68,67,69,70,76,60,85,74,229,179,199,277,303,247,248,267,219,309,260,234,259,274,2568,2846,1339,171,175,159])).
% 123.34/123.25 cnf(8781,plain,
% 123.34/123.25 (P11(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2)),a3)),
% 123.34/123.25 inference(scs_inference,[],[7386,8755,137,190,161,166,169,187,186,185,160,188,162])).
% 123.34/123.25 cnf(8861,plain,
% 123.34/123.25 (~P14(f36(x88611),f36(x88611))),
% 123.34/123.25 inference(rename_variables,[],[8733])).
% 123.34/123.25 cnf(8865,plain,
% 123.34/123.25 (~P16(f51(x88651),f51(x88651))),
% 123.34/123.25 inference(rename_variables,[],[416])).
% 123.34/123.25 cnf(8868,plain,
% 123.34/123.25 (~P17(f25(x88681),f25(x88681))),
% 123.34/123.25 inference(rename_variables,[],[508])).
% 123.34/123.25 cnf(8876,plain,
% 123.34/123.25 (P11(f39(f14(a2),x88761),f39(f14(a1),x88761))),
% 123.34/123.25 inference(scs_inference,[],[508,8868,8733,8861,6207,6818,6194,6435,6682,6680,7386,8755,8688,416,8865,7680,7746,6251,7469,345,137,190,161,166,169,187,186,185,160,188,162,189,163,164,165,191,174,167,10,21,49,37,12,22,40,54,13,30,9,52,6,20,24,41,28,55,56,53,15,27,8,32,42,26,46,39,47,17,31,36,18,14,16,45,50,25,51,48,19,2556,29,23,5,4,33,44,35,57,7,11,38,43,2843,34,2,168,204,194,78,77,72,83,81,80,3,71,205,73])).
% 123.34/123.25 cnf(8878,plain,
% 123.34/123.25 (P11(f39(x88781,x88782),f39(x88781,x88782))),
% 123.34/123.25 inference(rename_variables,[],[6251])).
% 123.34/123.25 cnf(8880,plain,
% 123.34/123.25 (E(f4(x88801,f14(a1)),f4(x88801,f14(a2)))),
% 123.34/123.25 inference(rename_variables,[],[6695])).
% 123.34/123.25 cnf(8883,plain,
% 123.34/123.25 (E(f4(x88831,f14(a1)),f4(x88831,f14(a2)))),
% 123.34/123.25 inference(rename_variables,[],[6695])).
% 123.34/123.25 cnf(8899,plain,
% 123.34/123.25 (~P14(f37(x88991),f37(x88991))),
% 123.34/123.25 inference(scs_inference,[],[506,508,8868,8733,8861,6207,6818,6194,8591,8713,8715,8716,7875,6435,6682,6695,8880,8883,6680,7386,8755,8688,6281,416,8865,7680,8201,7746,6251,8878,146,7469,143,7414,7073,139,345,99,137,97,95,190,161,166,169,187,186,185,160,188,162,189,163,164,165,191,174,167,10,21,49,37,12,22,40,54,13,30,9,52,6,20,24,41,28,55,56,53,15,27,8,32,42,26,46,39,47,17,31,36,18,14,16,45,50,25,51,48,19,2556,29,23,5,4,33,44,35,57,7,11,38,43,2843,34,2,168,204,194,78,77,72,83,81,80,3,71,205,73,76,60,85,74,200,277,303,247,248,267,219])).
% 123.34/123.25 cnf(8904,plain,
% 123.34/123.25 (~P4(f4(f6(f4(f6(f4(f53(x89041),a8)),f4(a12,a13))),a1))),
% 123.34/123.25 inference(scs_inference,[],[506,508,8868,8733,8861,6207,6818,6194,8591,8713,8715,8716,7875,6435,6682,6695,8880,8883,6680,7386,8755,8688,6281,416,8865,7680,6792,8201,7746,6251,8878,325,146,6280,7469,143,7414,7073,139,6611,345,6752,99,137,97,95,98,190,161,166,169,187,186,185,160,188,162,189,163,164,165,191,174,167,10,21,49,37,12,22,40,54,13,30,9,52,6,20,24,41,28,55,56,53,15,27,8,32,42,26,46,39,47,17,31,36,18,14,16,45,50,25,51,48,19,2556,29,23,5,4,33,44,35,57,7,11,38,43,2843,34,2,168,204,194,78,77,72,83,81,80,3,71,205,73,76,60,85,74,200,277,303,247,248,267,219,261,243])).
% 123.34/123.25 cnf(8908,plain,
% 123.34/123.25 (P11(f5(f4(f53(x89081),a8),f4(f53(x89081),a8)),f4(f53(x89081),a8))),
% 123.34/123.25 inference(scs_inference,[],[506,508,8868,8733,8861,6207,6818,6194,8591,8713,8715,8716,7875,6435,6682,6695,8880,8883,6680,7386,8755,8688,8523,8721,8556,6281,416,8865,7680,6792,8201,7746,6251,8878,2754,325,146,6253,6280,7469,143,7414,7073,139,6611,345,6752,99,137,97,95,98,190,161,166,169,187,186,185,160,188,162,189,163,164,165,191,174,167,10,21,49,37,12,22,40,54,13,30,9,52,6,20,24,41,28,55,56,53,15,27,8,32,42,26,46,39,47,17,31,36,18,14,16,45,50,25,51,48,19,2556,29,23,5,4,33,44,35,57,7,11,38,43,2843,34,2,168,204,194,78,77,72,83,81,80,3,71,205,73,76,60,85,74,200,277,303,247,248,267,219,261,243,234,260])).
% 123.34/123.25 cnf(8913,plain,
% 123.34/123.25 (P9(f5(f5(a8,a8),a8),a8)),
% 123.34/123.25 inference(scs_inference,[],[506,508,8868,8733,8861,6207,6818,6194,8591,8713,8715,8716,7875,6435,6682,6695,8880,8883,6680,7386,8755,8688,8523,8721,8556,6281,6164,416,8865,7680,6792,8201,7746,6251,8878,2754,325,146,6253,6280,7469,143,7414,7073,139,6611,345,6752,99,137,97,95,98,190,161,166,169,187,186,185,160,188,162,189,163,164,165,191,174,167,10,21,49,37,12,22,40,54,13,30,9,52,6,20,24,41,28,55,56,53,15,27,8,32,42,26,46,39,47,17,31,36,18,14,16,45,50,25,51,48,19,2556,29,23,5,4,33,44,35,57,7,11,38,43,2843,34,2,168,204,194,78,77,72,83,81,80,3,71,205,73,76,60,85,74,200,277,303,247,248,267,219,261,243,234,260,259,274])).
% 123.34/123.25 cnf(8944,plain,
% 123.34/123.25 (P4(f4(f51(x89441),a3))),
% 123.34/123.25 inference(scs_inference,[],[7776,7599,128,190,166,161,169,187])).
% 123.34/123.25 cnf(9026,plain,
% 123.34/123.25 (~E(f5(a13,a2),a13)),
% 123.34/123.25 inference(scs_inference,[],[6208,7970,7776,7599,7392,128,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2])).
% 123.34/123.25 cnf(9036,plain,
% 123.34/123.25 (~P14(f37(x90361),f37(x90361))),
% 123.34/123.25 inference(rename_variables,[],[8899])).
% 123.34/123.25 cnf(9037,plain,
% 123.34/123.25 (~P16(f51(a2),f50(a1))),
% 123.34/123.25 inference(scs_inference,[],[8899,6504,6208,7970,6453,7776,7599,7392,6221,8570,6510,8389,128,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2,168,298,204,194,78,72])).
% 123.34/123.25 cnf(9044,plain,
% 123.34/123.25 (~P17(f14(x90441),f14(x90441))),
% 123.34/123.25 inference(rename_variables,[],[396])).
% 123.34/123.25 cnf(9060,plain,
% 123.34/123.25 (E(f5(f4(a12,a13),f43(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13))),f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[396,9044,8899,9036,6504,6208,8679,7970,7079,8190,6453,6464,7318,7057,7776,7599,7024,8326,8904,6884,7392,6221,6222,6653,7083,7049,6248,8570,7051,6510,146,7008,8389,6752,128,95,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2,168,298,204,194,78,72,77,82,83,81,3,80,71,205,76,60,85,74,200,277,247])).
% 123.34/123.25 cnf(9073,plain,
% 123.34/123.25 (P11(f5(f39(x90731,x90732),f39(x90731,x90732)),f39(x90731,x90732))),
% 123.34/123.25 inference(scs_inference,[],[396,9044,8899,9036,6504,6208,8679,7970,7079,7294,8190,6453,6464,7981,7318,7057,8781,7776,7599,7024,8326,8904,6884,7388,7392,6221,6222,6653,7083,7049,6251,6248,8570,7051,6510,7386,146,7008,8389,7469,143,142,6752,125,128,95,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2,168,298,204,194,78,72,77,82,83,81,3,80,71,205,76,60,85,74,200,277,247,248,267,219,235,260])).
% 123.34/123.25 cnf(9092,plain,
% 123.34/123.25 (P7(f6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[396,9044,8899,9036,6504,6208,8679,7970,7079,7294,7497,8190,6453,6464,6703,7981,7318,7057,8781,7776,7599,7839,7024,8326,8904,6884,7129,7388,7392,6221,6222,6653,7083,7049,6251,6248,8570,7051,6510,7386,146,7008,8389,7469,7194,7215,143,6496,142,6752,125,128,95,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2,168,298,204,194,78,72,77,82,83,81,3,80,71,205,76,60,85,74,200,277,247,248,267,219,235,260,259,251,274,2846,2568,1365,172,176,175,159])).
% 123.34/123.25 cnf(9094,plain,
% 123.34/123.25 (P6(f56(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))))),
% 123.34/123.25 inference(scs_inference,[],[396,9044,8899,9036,6504,6208,8679,7970,7079,7294,7497,8190,6453,6464,6703,7981,7318,7057,8781,7776,7599,7839,7024,8326,8904,6884,7129,7388,7392,6221,6222,6653,7083,7049,6251,6248,8570,7051,6510,7386,146,7008,8389,7469,7194,7215,143,6496,142,6752,125,128,95,190,166,161,169,187,162,186,185,164,160,165,188,163,189,174,191,167,10,21,49,37,40,12,22,52,13,56,55,20,8,24,41,54,28,53,30,47,6,46,9,42,39,17,27,15,31,26,32,16,50,36,14,45,4,51,2556,23,18,35,19,48,5,25,7,29,33,38,57,43,11,44,2843,34,2,168,298,204,194,78,72,77,82,83,81,3,80,71,205,76,60,85,74,200,277,247,248,267,219,235,260,259,251,274,2846,2568,1365,172,176,175,159,157])).
% 123.34/123.25 cnf(9130,plain,
% 123.34/123.25 (P10(f56(f4(f6(f4(a12,a13)),f56(a1))),f56(f4(f6(f4(a12,a13)),f56(a1))))),
% 123.34/123.25 inference(scs_inference,[],[8347,9092,8393,7583,131,190,166,161,169,187,186,185,160,164,162,174,163,189,165,188,167])).
% 123.34/123.25 cnf(9199,plain,
% 123.34/123.25 (E(f6(f4(f53(x91991),a8)),f53(x91991))),
% 123.34/123.25 inference(rename_variables,[],[6269])).
% 123.34/123.25 cnf(9201,plain,
% 123.34/123.25 (~P16(f46(x92011),f46(x92011))),
% 123.34/123.25 inference(rename_variables,[],[446])).
% 123.34/123.25 cnf(9206,plain,
% 123.34/123.25 (~P17(f27(x92061),f27(x92061))),
% 123.34/123.25 inference(rename_variables,[],[522])).
% 123.34/123.25 cnf(9219,plain,
% 123.34/123.25 (~P16(f6(f4(f53(a1),a8)),f53(a2))),
% 123.34/123.25 inference(scs_inference,[],[522,9206,6209,6522,6548,6431,8913,7284,8944,6309,6488,6592,8023,9060,8347,9092,7953,8151,8552,8393,8554,446,9201,6767,8011,6269,9199,7583,7051,6859,6543,124,131,190,166,161,169,187,186,185,160,164,162,174,163,189,165,188,167,191,21,10,12,56,22,20,49,28,37,41,40,42,52,24,9,55,13,8,46,39,17,53,31,54,32,26,47,30,6,27,16,45,50,15,36,5,23,4,7,14,38,43,35,19,33,48,51,2556,44,18,25,11,29,57,34,2843,2,168,84,204,194,78,72,77,83,81,80,3,71,205,73,76,85,60,74,220])).
% 123.34/123.25 cnf(9231,plain,
% 123.34/123.25 (E(f5(f5(f41(a1,a1),a1),f40(a1,a1)),a1)),
% 123.34/123.25 inference(scs_inference,[],[522,9206,6209,6522,6876,6548,6431,8913,7284,8944,6309,6488,6592,8023,9060,8347,9092,7953,8151,7390,8552,8393,8554,446,9201,6767,8011,6269,9199,2622,7583,7051,146,6859,7280,6543,6752,124,131,95,98,190,166,161,169,187,186,185,160,164,162,174,163,189,165,188,167,191,21,10,12,56,22,20,49,28,37,41,40,42,52,24,9,55,13,8,46,39,17,53,31,54,32,26,47,30,6,27,16,45,50,15,36,5,23,4,7,14,38,43,35,19,33,48,51,2556,44,18,25,11,29,57,34,2843,2,168,84,204,194,78,72,77,83,81,80,3,71,205,73,76,85,60,74,220,202,203,200,247,277])).
% 123.34/123.25 cnf(9241,plain,
% 123.34/123.25 (~P4(f4(f6(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))),f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[522,9206,6265,6209,6832,6522,6876,6548,6431,8913,7284,8944,6309,6488,6592,8023,9060,8347,9092,7953,8151,7390,8552,8393,8554,446,9201,6767,8011,6269,9199,2622,7583,7278,7051,146,6774,7008,6859,7280,6543,140,6610,6752,124,131,127,128,95,98,190,166,161,169,187,186,185,160,164,162,174,163,189,165,188,167,191,21,10,12,56,22,20,49,28,37,41,40,42,52,24,9,55,13,8,46,39,17,53,31,54,32,26,47,30,6,27,16,45,50,15,36,5,23,4,7,14,38,43,35,19,33,48,51,2556,44,18,25,11,29,57,34,2843,2,168,84,204,194,78,72,77,83,81,80,3,71,205,73,76,85,60,74,220,202,203,200,247,277,248,267,219,258])).
% 123.34/123.25 cnf(9262,plain,
% 123.34/123.25 (P7(f6(f5(f4(f6(f4(a12,a13)),f56(a1)),f4(f6(f4(a12,a13)),f56(a1)))))),
% 123.34/123.25 inference(scs_inference,[],[522,9206,6265,6209,6832,6522,6876,6548,6431,8913,7284,8944,6309,6488,6592,6933,8023,8405,9060,8347,8400,9092,7953,8151,7390,8552,8393,8554,446,9201,6597,6767,8011,6269,9199,2622,7583,7278,6541,7051,145,6729,146,6774,7008,6859,7280,6543,140,6610,6278,6752,124,131,127,128,95,96,98,190,166,161,169,187,186,185,160,164,162,174,163,189,165,188,167,191,21,10,12,56,22,20,49,28,37,41,40,42,52,24,9,55,13,8,46,39,17,53,31,54,32,26,47,30,6,27,16,45,50,15,36,5,23,4,7,14,38,43,35,19,33,48,51,2556,44,18,25,11,29,57,34,2843,2,168,84,204,194,78,72,77,83,81,80,3,71,205,73,76,85,60,74,220,202,203,200,247,277,248,267,219,258,243,235,260,259,2846,2568,1378,172,176,175,159])).
% 123.34/123.25 cnf(9284,plain,
% 123.34/123.25 (P13(f55(x92841),f55(x92841))),
% 123.34/123.25 inference(scs_inference,[],[7599,123,190,166,169])).
% 123.34/123.25 cnf(9286,plain,
% 123.34/123.25 (P4(f4(f55(x92861),a3))),
% 123.34/123.25 inference(scs_inference,[],[7599,123,190,166,169,187])).
% 123.34/123.25 cnf(9294,plain,
% 123.34/123.25 (P9(f4(f6(f4(f54(x92941),f5(a8,a8))),f56(f4(a12,a13))),a3)),
% 123.34/123.25 inference(scs_inference,[],[7573,7599,123,190,166,169,187,161,186,185,160])).
% 123.34/123.25 cnf(9304,plain,
% 123.34/123.25 (~P15(a3,f6(f5(f4(f6(f4(a12,a13)),f56(a1)),f4(f6(f4(a12,a13)),f56(a1)))))),
% 123.34/123.25 inference(scs_inference,[],[7573,9262,7599,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174])).
% 123.34/123.25 cnf(9308,plain,
% 123.34/123.25 (P12(f55(x93081),f55(x93081))),
% 123.34/123.25 inference(scs_inference,[],[7573,9262,7599,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165])).
% 123.34/123.25 cnf(9374,plain,
% 123.34/123.25 (~P14(f49(x93741),f49(x93741))),
% 123.34/123.25 inference(rename_variables,[],[7628])).
% 123.34/123.25 cnf(9375,plain,
% 123.34/123.25 (~P16(f53(a2),f6(f4(f53(a1),a8)))),
% 123.34/123.25 inference(scs_inference,[],[6210,6508,6822,6677,7573,9262,7628,6269,7599,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72])).
% 123.34/123.25 cnf(9376,plain,
% 123.34/123.25 (E(f6(f4(f53(x93761),a8)),f53(x93761))),
% 123.34/123.25 inference(rename_variables,[],[6269])).
% 123.34/123.25 cnf(9383,plain,
% 123.34/123.25 (~P17(f52(x93831),f52(x93831))),
% 123.34/123.25 inference(rename_variables,[],[398])).
% 123.34/123.25 cnf(9387,plain,
% 123.34/123.25 (~P16(f6(f4(f53(a2),a8)),f53(a1))),
% 123.34/123.25 inference(scs_inference,[],[398,9383,6210,6508,9026,6822,6808,6677,6914,7503,8440,7573,8542,9262,7628,9374,7581,6269,9376,7599,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72,77,83,82,81,80,3,71])).
% 123.34/123.25 cnf(9389,plain,
% 123.34/123.25 (P6(f5(f5(f5(a8,a8),f5(a8,a8)),f5(f5(a8,a8),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[398,9383,6210,6508,9026,6822,6808,6677,6914,7503,8440,7573,8542,9262,7628,9374,7581,6269,9376,7599,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72,77,83,82,81,80,3,71,205])).
% 123.34/123.25 cnf(9392,plain,
% 123.34/123.25 (E(f39(x93921,f14(a1)),f39(x93921,f14(a2)))),
% 123.34/123.25 inference(rename_variables,[],[6708])).
% 123.34/123.25 cnf(9395,plain,
% 123.34/123.25 (~P10(a3,f5(f5(f41(a2,a2),a2),f40(a2,a2)))),
% 123.34/123.25 inference(scs_inference,[],[398,9383,6210,6508,9026,6822,6808,6708,8876,6677,6914,8723,7503,7202,8440,7573,9130,8542,9262,7628,9374,7581,6269,9376,7599,6756,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72,77,83,82,81,80,3,71,205,73,75,76])).
% 123.34/123.25 cnf(9397,plain,
% 123.34/123.25 (~P9(a3,f5(f5(f41(a2,a2),a2),f40(a2,a2)))),
% 123.34/123.25 inference(scs_inference,[],[398,9383,6210,6508,9026,6822,6808,6708,8876,6677,6914,8723,7503,7202,8440,7573,9130,9241,8542,9262,7628,9374,7581,6269,9376,7599,6756,6746,6653,6541,123,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72,77,83,82,81,80,3,71,205,73,75,76,60,85])).
% 123.34/123.25 cnf(9411,plain,
% 123.34/123.25 (~P14(f46(x94111),f46(x94111))),
% 123.34/123.25 inference(scs_inference,[],[398,9383,6210,6508,9026,6822,9073,6808,7941,6708,9392,8876,6677,6914,8723,7503,7202,7626,8440,7573,9130,9241,8542,9262,6166,7628,9374,7581,446,6269,9376,7599,6756,6746,6653,6541,7280,7073,7414,109,99,123,131,190,166,169,187,161,186,185,160,164,162,189,163,174,167,165,188,191,20,56,10,12,21,37,22,49,28,52,31,42,13,41,55,9,16,40,6,8,39,32,50,46,24,54,53,17,26,27,47,36,30,15,19,43,45,33,7,5,23,14,38,4,44,25,18,51,2556,48,29,11,57,35,2843,34,2,168,78,72,77,83,82,81,80,3,71,205,73,75,76,60,85,74,202,203,247,248,267,219])).
% 123.34/123.25 cnf(9446,plain,
% 123.34/123.25 (P4(f4(f52(x94461),a3))),
% 123.34/123.25 inference(scs_inference,[],[9389,126,166,190,187])).
% 123.34/123.25 cnf(9537,plain,
% 123.34/123.25 (~P14(f46(x95371),f46(x95371))),
% 123.34/123.25 inference(rename_variables,[],[9411])).
% 123.34/123.25 cnf(9539,plain,
% 123.34/123.25 (~P16(f51(x95391),f51(x95391))),
% 123.34/123.25 inference(rename_variables,[],[416])).
% 123.34/123.25 cnf(9543,plain,
% 123.34/123.25 (~P17(f29(x95431),f29(x95431))),
% 123.34/123.25 inference(rename_variables,[],[532])).
% 123.34/123.25 cnf(9550,plain,
% 123.34/123.25 (P6(f5(f4(f53(x95501),a8),f4(f53(x95501),a8)))),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,6450,7055,6686,6727,9389,7817,6564,8398,416,9539,7049,6253,126,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205])).
% 123.34/123.25 cnf(9553,plain,
% 123.34/123.25 (E(f5(x95531,f40(a1,x95532)),f5(x95531,f40(a2,x95532)))),
% 123.34/123.25 inference(rename_variables,[],[6485])).
% 123.34/123.25 cnf(9558,plain,
% 123.34/123.25 (~P17(f56(f4(f6(f5(f4(a12,a13),f4(a12,a13))),f56(a2))),f56(a2))),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,6450,9286,7055,6485,9553,6686,6727,9395,9397,9389,7396,8426,9094,8572,7817,6317,6564,8398,416,9539,7049,6253,6734,126,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205,76,60,85,74,201])).
% 123.34/123.25 cnf(9562,plain,
% 123.34/123.25 (P7(f54(x95621))),
% 123.34/123.25 inference(rename_variables,[],[125])).
% 123.34/123.25 cnf(9568,plain,
% 123.34/123.25 (E(f5(f42(f5(f4(a12,a13),f4(a12,a13)),f4(a12,a13)),f4(a12,a13)),f5(f4(a12,a13),f4(a12,a13)))),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,7081,6450,9286,7041,7055,6485,9553,6686,6727,9395,9397,7985,9389,7396,8320,8328,8426,9094,8572,7817,6317,6564,8398,416,9539,7049,6253,7008,7469,6734,6752,125,126,95,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205,76,60,85,74,201,180,179,247,248])).
% 123.34/123.25 cnf(9578,plain,
% 123.34/123.25 (~E(f5(a2,a2),f5(a3,a2))),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,7081,6450,9286,7041,7055,6485,9553,6686,6727,9395,9397,7985,9375,9389,7396,8320,8328,8426,9094,8572,7817,7787,6317,6564,8398,6540,416,9539,7049,6253,7008,6859,7469,7073,6734,6611,138,6752,125,124,126,95,96,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205,76,60,85,74,201,180,179,247,248,219,267,239,242])).
% 123.34/123.25 cnf(9588,plain,
% 123.34/123.25 (P9(f5(f5(a2,a2),a2),a2)),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,7081,6450,9286,7041,7055,6485,9553,6686,6727,9395,9397,7985,9375,9389,7396,8320,8328,8426,9094,8572,7817,6562,7787,6317,7941,6564,8398,2679,6540,416,9539,2621,7049,6253,6510,7008,6859,7469,7073,7414,6734,6611,138,6752,125,9562,124,126,95,96,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205,76,60,85,74,201,180,179,247,248,219,267,239,242,262,260,259,274])).
% 123.34/123.25 cnf(9596,plain,
% 123.34/123.25 (P9(f5(f5(f56(f4(a12,a13)),f4(a12,a13)),f5(f56(f4(a12,a13)),f4(a12,a13))),f4(a12,a13))),
% 123.34/123.25 inference(scs_inference,[],[532,9543,9411,9537,6211,8343,6772,7081,6450,9286,7041,7055,6485,9553,6686,6727,9395,9397,7985,9375,9389,7396,8320,8328,8426,6176,8172,9094,8572,7817,6562,7787,6317,7941,6564,9262,8398,2679,6540,416,9539,2621,7049,6253,6510,7008,7750,6859,7469,7194,7073,7414,6734,6611,138,6752,125,9562,124,126,95,96,166,190,187,161,169,185,160,186,189,164,162,165,174,188,163,167,191,56,12,37,10,20,21,49,9,22,32,40,8,39,31,42,52,46,54,36,41,28,16,26,6,50,47,55,13,17,53,33,24,19,27,15,29,44,30,43,14,38,4,25,23,2556,57,48,7,45,5,18,11,51,35,34,2843,2,168,84,78,72,77,81,83,80,3,71,205,76,60,85,74,201,180,179,247,248,219,267,239,242,262,260,259,274,2846,2568,6635,82,309])).
% 123.34/123.25 cnf(9604,plain,
% 123.34/123.25 (P4(f4(f48(x96041),a3))),
% 123.34/123.25 inference(scs_inference,[],[9550,129,190,166,187])).
% 123.34/123.25 cnf(9691,plain,
% 123.34/123.25 (~E(f5(a3,a2),f5(a2,a2))),
% 123.34/123.25 inference(scs_inference,[],[6212,9578,9550,6510,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2])).
% 123.34/123.25 cnf(9696,plain,
% 123.34/123.25 (P9(f5(f4(a12,a13),f5(f4(a12,a13),f4(a12,a13))),f4(a12,a13))),
% 123.34/123.25 inference(scs_inference,[],[6212,9578,9550,7034,7055,6510,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84])).
% 123.34/123.25 cnf(9698,plain,
% 123.34/123.25 (~P14(f55(x96981),f55(x96981))),
% 123.34/123.25 inference(rename_variables,[],[7241])).
% 123.34/123.25 cnf(9699,plain,
% 123.34/123.25 (~P16(f53(a1),f6(f4(f53(a2),a8)))),
% 123.34/123.25 inference(scs_inference,[],[6212,9578,6536,6697,9550,7034,7055,7241,6269,6510,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72])).
% 123.34/123.25 cnf(9704,plain,
% 123.34/123.25 (~P17(f50(x97041),f50(x97041))),
% 123.34/123.25 inference(rename_variables,[],[410])).
% 123.34/123.25 cnf(9706,plain,
% 123.34/123.25 (~E(f5(a2,a2),f5(a3,a1))),
% 123.34/123.25 inference(scs_inference,[],[410,6212,9578,6536,6697,6723,9550,7034,7055,7318,7432,6249,7241,9698,6269,6510,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72,77,81,83,3])).
% 123.34/123.25 cnf(9713,plain,
% 123.34/123.25 (P12(f55(x97131),f55(x97131))),
% 123.34/123.25 inference(rename_variables,[],[9308])).
% 123.34/123.25 cnf(9717,plain,
% 123.34/123.25 (P13(f55(x97171),f55(x97171))),
% 123.34/123.25 inference(rename_variables,[],[9284])).
% 123.34/123.25 cnf(9720,plain,
% 123.34/123.25 (P6(f5(f4(f54(x97201),f5(a8,a8)),f4(f54(x97201),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[410,9704,9284,9717,9308,9713,6212,9578,6536,6697,6723,9219,9550,7034,6972,7055,7318,7432,6249,7241,9698,6269,6510,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72,77,81,83,3,80,71,68,67,70,69,205])).
% 123.34/123.25 cnf(9726,plain,
% 123.34/123.25 (~P17(f56(f4(f53(x97261),a8)),a8)),
% 123.34/123.25 inference(scs_inference,[],[410,9704,9284,9717,9308,9713,6212,9578,6536,9446,9231,6697,6723,9219,6267,9550,7034,6972,6599,7055,7318,7432,6249,7241,9698,6269,6969,6514,6534,6524,6510,99,129,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72,77,81,83,3,80,71,68,67,70,69,205,76,60,85,74,201])).
% 123.34/123.25 cnf(9759,plain,
% 123.34/123.25 (~E(a3,f5(f5(f56(f4(a12,a13)),f4(a12,a13)),f5(f56(f4(a12,a13)),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[410,9704,9284,9717,9308,9713,6212,9578,6536,8349,9037,9446,7664,7674,9231,6697,6723,9219,6267,9550,8908,7034,9596,9558,6972,8391,7188,6599,7055,7318,7432,8172,9094,6836,6249,7241,9698,2678,6269,6969,6514,6534,6524,7049,6510,6253,7215,7192,6734,6496,110,6752,99,129,127,128,95,98,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72,77,81,83,3,80,71,68,67,70,69,205,76,60,85,74,201,179,247,248,219,267,232,260,259,250,252,274,2846,1880,170])).
% 123.34/123.25 cnf(9761,plain,
% 123.34/123.25 (~E(a3,f5(f4(f53(x97611),a8),f4(f53(x97611),a8)))),
% 123.34/123.25 inference(scs_inference,[],[410,9704,9284,9717,9308,9713,6212,9578,6536,8349,9037,9446,7664,7674,9231,6697,6723,9219,6267,9550,8908,7034,9596,9558,6972,8391,7188,6599,7055,7318,7432,8172,9094,6836,6249,7241,9698,2678,6269,6969,6514,6534,6524,7049,6510,6253,7215,7192,6734,6496,110,6752,99,129,127,128,95,98,190,166,187,161,185,160,186,169,164,189,162,163,174,165,167,188,191,56,37,12,32,2568,9,40,49,10,22,42,20,21,52,36,50,8,46,54,47,31,6,16,24,26,39,17,15,19,53,28,41,27,44,55,13,33,29,2556,45,43,14,30,18,51,4,7,38,23,48,57,25,5,11,34,35,2843,2,168,296,84,78,72,77,81,83,3,80,71,68,67,70,69,205,76,60,85,74,201,179,247,248,219,267,232,260,259,250,252,274,2846,1880,170,172])).
% 123.34/123.25 cnf(9782,plain,
% 123.34/123.25 (P4(f4(f49(x97821),a3))),
% 123.34/123.25 inference(scs_inference,[],[9720,130,166,190,187])).
% 123.34/123.25 cnf(9875,plain,
% 123.34/123.25 (P6(f5(f4(f53(x98751),a8),f4(f53(x98751),a8)))),
% 123.34/123.25 inference(rename_variables,[],[9550])).
% 123.34/123.25 cnf(9877,plain,
% 123.34/123.25 (P7(f6(f5(f4(f53(x98771),a8),f4(f53(x98771),a8))))),
% 123.34/123.25 inference(scs_inference,[],[6213,9706,9720,9761,9759,8172,9550,9875,6774,130,132,166,190,187,160,161,185,169,186,162,189,167,164,188,174,163,165,191,37,9,56,49,12,32,21,50,10,54,42,36,22,2568,40,20,17,46,15,52,8,39,6,31,53,16,13,27,55,47,19,24,28,26,2556,45,33,30,44,41,23,43,38,29,4,51,14,18,34,25,35,7,5,11,48,57,2843,2,168,176,175,159])).
% 123.34/123.25 cnf(9878,plain,
% 123.34/123.25 (~E(a3,f5(f4(f53(x98781),a8),f4(f53(x98781),a8)))),
% 123.34/123.25 inference(rename_variables,[],[9761])).
% 123.34/123.25 cnf(9887,plain,
% 123.34/123.25 (~P16(f35(x98871),f35(x98871))),
% 123.34/123.25 inference(rename_variables,[],[485])).
% 123.34/123.25 cnf(9891,plain,
% 123.34/123.25 (~P17(f31(x98911),f31(x98911))),
% 123.34/123.25 inference(rename_variables,[],[542])).
% 123.34/123.25 cnf(9898,plain,
% 123.34/123.25 (P6(f5(f5(a13,a13),f5(a13,a13)))),
% 123.34/123.25 inference(scs_inference,[],[542,9891,6213,9706,7207,7115,9588,7206,6701,9720,9761,9878,9759,485,9887,7237,7951,6767,6232,6746,8172,9550,9875,6774,130,132,166,190,187,160,161,185,169,186,162,189,167,164,188,174,163,165,191,37,9,56,49,12,32,21,50,10,54,42,36,22,2568,40,20,17,46,15,52,8,39,6,31,53,16,13,27,55,47,19,24,28,26,2556,45,33,30,44,41,23,43,38,29,4,51,14,18,34,25,35,7,5,11,48,57,2843,2,168,176,175,159,177,157,84,72,78,77,81,83,3,80,71,205])).
% 123.34/123.25 cnf(9905,plain,
% 123.34/123.25 (P6(f5(f4(f54(x99051),f5(a8,a8)),f4(f54(x99051),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[9720])).
% 123.34/123.25 cnf(9911,plain,
% 123.34/123.25 (E(f5(f42(a2,a2),a2),a2)),
% 123.34/123.25 inference(scs_inference,[],[542,9891,6213,9706,7207,7115,9588,7206,9604,6701,9568,9720,9905,7473,9761,9878,7200,9759,8373,8387,485,9887,6967,6816,7237,7951,7284,6767,6232,2679,6746,8172,9550,9875,6774,7073,6752,130,132,95,96,166,190,187,160,161,185,169,186,162,189,167,164,188,174,163,165,191,37,9,56,49,12,32,21,50,10,54,42,36,22,2568,40,20,17,46,15,52,8,39,6,31,53,16,13,27,55,47,19,24,28,26,2556,45,33,30,44,41,23,43,38,29,4,51,14,18,34,25,35,7,5,11,48,57,2843,2,168,176,175,159,177,157,84,72,78,77,81,83,3,80,71,205,76,60,85,74,179,303,247,248])).
% 123.34/123.25 cnf(9917,plain,
% 123.34/123.25 (~P9(a3,f4(f6(f4(f54(x99171),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[542,9891,6213,9706,7207,7115,9588,7206,9604,6701,9568,9720,9905,7473,9761,9878,7200,9759,7577,9294,8373,8387,485,9887,6967,6816,7237,7951,7284,346,6767,6232,2679,6746,8172,7573,9550,9875,6774,7073,115,6752,130,132,101,95,96,166,190,187,160,161,185,169,186,162,189,167,164,188,174,163,165,191,37,9,56,49,12,32,21,50,10,54,42,36,22,2568,40,20,17,46,15,52,8,39,6,31,53,16,13,27,55,47,19,24,28,26,2556,45,33,30,44,41,23,43,38,29,4,51,14,18,34,25,35,7,5,11,48,57,2843,2,168,176,175,159,177,157,84,72,78,77,81,83,3,80,71,205,76,60,85,74,179,303,247,248,219,267,233])).
% 123.34/123.25 cnf(9922,plain,
% 123.34/123.25 (P6(f5(f4(f54(x99221),f5(a8,a8)),f4(f54(x99221),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[9720])).
% 123.34/123.25 cnf(9933,plain,
% 123.34/123.25 (~E(a3,f5(f4(f54(x99331),f5(a8,a8)),f4(f54(x99331),f5(a8,a8))))),
% 123.34/123.25 inference(scs_inference,[],[542,9891,6213,9706,7207,7115,9588,7206,9604,7977,6701,9568,9720,9905,9922,7473,9761,9878,7200,9759,7577,9294,9304,8373,8387,485,9887,6967,6832,6583,6816,7237,7951,7284,346,6767,9262,6232,2679,6746,8172,7573,6541,9550,9875,6774,7073,115,6610,6278,6752,130,132,101,95,96,166,190,187,160,161,185,169,186,162,189,167,164,188,174,163,165,191,37,9,56,49,12,32,21,50,10,54,42,36,22,2568,40,20,17,46,15,52,8,39,6,31,53,16,13,27,55,47,19,24,28,26,2556,45,33,30,44,41,23,43,38,29,4,51,14,18,34,25,35,7,5,11,48,57,2843,2,168,176,175,159,177,157,84,72,78,77,81,83,3,80,71,205,76,60,85,74,179,303,247,248,219,267,233,234,260,259,271,2846,170,171])).
% 123.34/123.25 cnf(9951,plain,
% 123.34/123.25 (P4(f4(f36(x99511),a3))),
% 123.34/123.25 inference(scs_inference,[],[9898,136,190,166,187])).
% 123.34/123.25 cnf(10038,plain,
% 123.34/123.25 (~E(f5(a2,a13),a13)),
% 123.34/123.25 inference(scs_inference,[],[6214,8704,9898,9877,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2])).
% 123.34/123.25 cnf(10041,plain,
% 123.34/123.25 (~E(a3,f4(f6(f4(f54(x100411),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[6214,8704,9898,9917,9877,7573,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170])).
% 123.34/123.25 cnf(10042,plain,
% 123.34/123.25 (P6(f4(f6(f4(f54(x100421),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.25 inference(rename_variables,[],[7573])).
% 123.34/123.25 cnf(10054,plain,
% 123.34/123.25 (~E(a3,f5(f4(f54(x100541),f5(a8,a8)),f4(f54(x100541),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[9933])).
% 123.34/123.25 cnf(10056,plain,
% 123.34/123.25 (P7(f6(f5(f5(f56(f4(a12,a13)),f4(a12,a13)),f5(f56(f4(a12,a13)),f4(a12,a13)))))),
% 123.34/123.25 inference(scs_inference,[],[6214,8704,9898,9933,9917,9877,9759,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159])).
% 123.34/123.25 cnf(10071,plain,
% 123.34/123.25 (~P14(f37(x100711),f37(x100711))),
% 123.34/123.25 inference(rename_variables,[],[8899])).
% 123.34/123.25 cnf(10075,plain,
% 123.34/123.25 (~P17(f16(x100751),f16(x100751))),
% 123.34/123.25 inference(rename_variables,[],[418])).
% 123.34/123.25 cnf(10080,plain,
% 123.34/123.25 (~E(f5(a3,a2),f5(a2,a1))),
% 123.34/123.25 inference(scs_inference,[],[418,10075,6214,9691,8704,9898,8745,6487,6704,9387,9933,10054,7239,9917,9877,8899,10071,7057,6972,9759,6249,6269,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159,177,204,157,84,194,72,78,77,81,83,80,3])).
% 123.34/123.25 cnf(10084,plain,
% 123.34/123.25 (P6(f5(f5(f5(a13,a13),f5(a13,a13)),f5(f5(a13,a13),f5(a13,a13))))),
% 123.34/123.25 inference(scs_inference,[],[418,10075,6214,9691,8704,9898,8745,6487,6704,9387,9933,10054,7239,9917,9877,8899,10071,7057,6972,9759,6249,6269,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159,177,204,157,84,194,72,78,77,81,83,80,3,71,205])).
% 123.34/123.25 cnf(10086,plain,
% 123.34/123.25 (~P10(a3,f5(f42(a2,a2),a2))),
% 123.34/123.25 inference(scs_inference,[],[418,10075,6214,9691,8704,9898,9911,8745,6487,6704,9387,9933,10054,7239,9917,9877,8899,10071,7057,6972,9759,6249,6756,6269,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159,177,204,157,84,194,72,78,77,81,83,80,3,71,205,76])).
% 123.34/123.25 cnf(10088,plain,
% 123.34/123.25 (~P11(a3,f5(f42(a2,a2),a2))),
% 123.34/123.25 inference(scs_inference,[],[418,10075,6214,9691,8704,9898,9782,9911,8745,6487,6704,9387,9933,10054,7239,9917,9877,8899,10071,7841,7057,6972,9759,6249,6760,6756,6269,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159,177,204,157,84,194,72,78,77,81,83,80,3,71,205,76,60,74])).
% 123.34/123.25 cnf(10089,plain,
% 123.34/123.25 (~P9(a3,f5(f42(a2,a2),a2))),
% 123.34/123.25 inference(scs_inference,[],[418,10075,6214,9691,8704,9898,9782,9911,8745,6487,6704,9387,9933,10054,7239,9917,9877,8899,10071,7841,7057,6972,9759,6249,6760,6756,6269,6746,8172,9720,7573,10042,6774,6859,6611,136,127,190,166,187,160,161,169,186,185,189,188,164,162,174,167,163,165,191,37,9,21,56,49,32,42,12,54,50,10,40,22,36,15,8,20,55,53,2568,28,52,24,39,6,16,26,44,17,19,30,46,47,31,27,13,41,2556,4,45,23,43,18,33,51,34,14,11,29,38,7,25,48,57,35,5,2843,2,168,170,298,176,238,195,175,159,177,204,157,84,194,72,78,77,81,83,80,3,71,205,76,60,74,85])).
% 123.34/123.25 cnf(10232,plain,
% 123.34/123.25 (P7(f6(f4(f6(f4(f54(x102321),f5(a8,a8))),f56(f4(a12,a13)))))),
% 123.34/123.25 inference(scs_inference,[],[6215,10080,10084,10041,10056,7573,7008,137,101,190,166,187,161,160,169,185,186,188,162,164,174,189,167,163,165,191,37,9,49,56,21,32,54,36,12,10,50,28,42,55,8,20,22,40,53,6,30,24,15,19,39,41,44,2568,52,26,47,16,4,31,18,46,45,33,13,23,17,11,27,2556,38,43,51,29,14,25,34,5,57,48,35,7,2843,2,168,159])).
% 123.34/123.25 cnf(10233,plain,
% 123.34/123.25 (~E(a3,f4(f6(f4(f54(x102331),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.25 inference(rename_variables,[],[10041])).
% 123.34/123.25 cnf(10238,plain,
% 123.34/123.25 (P6(f4(f6(f4(f54(x102381),f5(a8,a8))),f56(f4(a12,a13))))),
% 123.34/123.25 inference(rename_variables,[],[7573])).
% 123.34/123.25 cnf(10247,plain,
% 123.34/123.25 (~P16(f44(x102471),f44(x102471))),
% 123.34/123.25 inference(rename_variables,[],[465])).
% 123.34/123.25 cnf(10252,plain,
% 123.34/123.25 (~P17(f33(x102521),f33(x102521))),
% 123.34/123.25 inference(rename_variables,[],[552])).
% 123.34/123.25 cnf(10258,plain,
% 123.34/123.25 (P6(f5(f5(f4(a12,a13),f4(a12,a13)),f5(f4(a12,a13),f4(a12,a13))))),
% 123.34/123.25 inference(scs_inference,[],[552,10252,6215,10080,7590,7127,8548,6709,9696,10084,7190,10041,10233,10056,465,10247,7026,7209,6232,7049,7573,10238,7008,7073,137,101,190,166,187,161,160,169,185,186,188,162,164,174,189,167,163,165,191,37,9,49,56,21,32,54,36,12,10,50,28,42,55,8,20,22,40,53,6,30,24,15,19,39,41,44,2568,52,26,47,16,4,31,18,46,45,33,13,23,17,11,27,2556,38,43,51,29,14,25,34,5,57,48,35,7,2843,2,168,159,204,177,157,84,194,72,78,77,83,81,80,3,71,205])).
% 123.34/123.25 cnf(10264,plain,
% 123.34/123.25 (E(f5(x102641,a1),f5(x102641,a2))),
% 123.34/123.25 inference(rename_variables,[],[6249])).
% 123.34/123.25 cnf(10267,plain,
% 123.34/123.25 (E(f5(x102671,a1),f5(x102671,a2))),
% 123.34/123.25 inference(rename_variables,[],[6249])).
% 123.34/123.25 cnf(10270,plain,
% 123.34/123.25 (E(a8,f56(f4(f53(x102701),a8)))),
% 123.34/123.25 inference(scs_inference,[],[552,10252,6215,10080,7590,7127,9951,8548,10086,10088,10089,6908,6709,9696,9726,10084,7190,10041,10233,10056,465,10247,7254,7026,7209,6232,6251,6249,10264,10267,6969,7049,7573,10238,7008,7073,99,137,101,190,166,187,161,160,169,185,186,188,162,164,174,189,167,163,165,191,37,9,49,56,21,32,54,36,12,10,50,28,42,55,8,20,22,40,53,6,30,24,15,19,39,41,44,2568,52,26,47,16,4,31,18,46,45,33,13,23,17,11,27,2556,38,43,51,29,14,25,34,5,57,48,35,7,2843,2,168,159,204,177,157,84,194,72,78,77,83,81,80,3,71,205,73,76,60,74,85,179])).
% 123.34/123.25 cnf(10403,plain,
% 123.34/123.25 (P6(f5(f4(f54(x104031),f5(a8,a8)),f4(f54(x104031),f5(a8,a8))))),
% 123.34/123.25 inference(rename_variables,[],[9720])).
% 123.34/123.25 cnf(10410,plain,
% 123.34/123.25 (~P14(f55(x104101),f55(x104101))),
% 123.34/123.25 inference(rename_variables,[],[7241])).
% 123.34/123.25 cnf(10418,plain,
% 123.34/123.25 (~E(f5(a2,a13),f5(f42(a13,a13),a13))),
% 123.34/123.25 inference(scs_inference,[],[420,7773,10038,7003,7030,6924,6939,9699,10270,10258,10232,8326,9933,7477,6281,6972,7241,10410,9720,10403,141,131,100,190,166,187,161,160,169,162,189,164,185,163,186,174,188,167,165,191,37,9,56,54,49,32,12,36,42,21,55,8,28,40,19,50,30,10,41,44,2568,53,52,20,26,22,24,45,15,16,47,39,23,46,6,4,18,17,11,13,31,25,33,14,51,29,34,38,27,2556,5,43,57,35,48,7,2843,2,168,159,157,84,78,77,72,81,83,3])).
% 123.34/123.25 cnf(10888,plain,
% 123.34/123.25 ($false),
% 123.34/123.25 inference(scs_inference,[],[6197,6543,6613,325,6653,6428,6436,10418,6788,2,54,2561,2844,178,2845,2574,326,60]),
% 123.34/123.25 ['proof']).
% 123.40/123.26 % SZS output end Proof
% 123.40/123.26 % Total time :122.540000s
%------------------------------------------------------------------------------