TSTP Solution File: SWC042-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 : Thu Aug 31 20:16:44 EDT 2023
% Result : Unsatisfiable 1.67s 1.75s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 15:39:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 1.67/1.74 %-------------------------------------------
% 1.67/1.74 % File :CSE---1.6
% 1.67/1.74 % Problem :theBenchmark
% 1.67/1.74 % Transform :cnf
% 1.67/1.74 % Format :tptp:raw
% 1.67/1.74 % Command :java -jar mcs_scs.jar %d %s
% 1.67/1.74
% 1.67/1.74 % Result :Theorem 1.050000s
% 1.67/1.74 % Output :CNFRefutation 1.050000s
% 1.67/1.74 %-------------------------------------------
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 % File : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% 1.67/1.75 % Domain : Software Creation
% 1.67/1.75 % Problem : cond_id_nil_x_run_ord_front2
% 1.67/1.75 % Version : [Wei00] axioms.
% 1.67/1.75 % English : Find components in a software library that match a given target
% 1.67/1.75 % specification given in first-order logic. The components are
% 1.67/1.75 % specified in first-order logic as well. The problem represents
% 1.67/1.75 % a test of one library module specification against a target
% 1.67/1.75 % specification.
% 1.67/1.75
% 1.67/1.75 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.67/1.75 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.67/1.75 % Source : [TPTP]
% 1.67/1.75 % Names :
% 1.67/1.75
% 1.67/1.75 % Status : Unsatisfiable
% 1.67/1.75 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.33 v2.4.0
% 1.67/1.75 % Syntax : Number of clauses : 198 ( 65 unt; 33 nHn; 155 RR)
% 1.67/1.75 % Number of literals : 624 ( 107 equ; 407 neg)
% 1.67/1.75 % Maximal clause size : 10 ( 3 avg)
% 1.67/1.75 % Maximal term depth : 5 ( 1 avg)
% 1.67/1.75 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 1.67/1.75 % Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% 1.67/1.75 % Number of variables : 330 ( 49 sgn)
% 1.67/1.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.67/1.75
% 1.67/1.75 % Comments : Created by CNF conversion from SWC042+1
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 %----Include list specification axioms
% 1.67/1.75 include('Axioms/SWC001-0.ax').
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 cnf(co1_1,negated_conjecture,
% 1.67/1.75 ssList(sk1) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_2,negated_conjecture,
% 1.67/1.75 ssList(sk2) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_3,negated_conjecture,
% 1.67/1.75 ssList(sk3) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_4,negated_conjecture,
% 1.67/1.75 ssList(sk4) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_5,negated_conjecture,
% 1.67/1.75 nil = sk2 ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_6,negated_conjecture,
% 1.67/1.75 sk2 = sk4 ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_7,negated_conjecture,
% 1.67/1.75 sk1 = sk3 ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_8,negated_conjecture,
% 1.67/1.75 nil != sk1 ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_9,negated_conjecture,
% 1.67/1.75 ssList(sk5) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_10,negated_conjecture,
% 1.67/1.75 app(sk3,sk5) = sk4 ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_11,negated_conjecture,
% 1.67/1.75 totalorderedP(sk3) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_12,negated_conjecture,
% 1.67/1.75 ( ~ ssItem(A)
% 1.67/1.75 | ~ ssList(B)
% 1.67/1.75 | app(cons(A,nil),B) != sk5
% 1.67/1.75 | ~ ssItem(C)
% 1.67/1.75 | ~ ssList(D)
% 1.67/1.75 | app(D,cons(C,nil)) != sk3
% 1.67/1.75 | ~ leq(C,A) ) ).
% 1.67/1.75
% 1.67/1.75 cnf(co1_13,negated_conjecture,
% 1.67/1.75 ( nil = sk4
% 1.67/1.75 | nil != sk3 ) ).
% 1.67/1.75
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 %-------------------------------------------
% 1.67/1.75 % Proof found
% 1.67/1.75 % SZS status Theorem for theBenchmark
% 1.67/1.75 % SZS output start Proof
% 1.67/1.75 %ClaNum:283(EqnAxiom:85)
% 1.67/1.75 %VarNum:901(SingletonVarNum:326)
% 1.67/1.75 %MaxLitNum:10
% 1.67/1.75 %MaxfuncDepth:4
% 1.67/1.75 %SharedTerms:34
% 1.67/1.75 %goalClause: 86 87 88 93 98 99 100 101 102 141 149 151 269
% 1.67/1.75 %singleGoalClaCount:11
% 1.67/1.75 [86]E(a1,a2)
% 1.67/1.75 [87]E(a6,a7)
% 1.67/1.75 [88]E(a1,a8)
% 1.67/1.75 [89]P1(a2)
% 1.67/1.75 [90]P2(a2)
% 1.67/1.75 [91]P4(a2)
% 1.67/1.75 [92]P18(a2)
% 1.67/1.75 [93]P18(a7)
% 1.67/1.75 [94]P5(a2)
% 1.67/1.75 [95]P19(a2)
% 1.67/1.75 [96]P3(a2)
% 1.67/1.75 [97]P6(a2)
% 1.67/1.75 [98]P6(a6)
% 1.67/1.75 [99]P6(a1)
% 1.67/1.75 [100]P6(a7)
% 1.67/1.75 [101]P6(a8)
% 1.67/1.75 [102]P6(a9)
% 1.67/1.75 [103]P7(a10)
% 1.67/1.75 [104]P7(a11)
% 1.67/1.75 [148]~E(a11,a10)
% 1.67/1.75 [149]~E(a6,a2)
% 1.67/1.75 [150]~P8(a2)
% 1.67/1.75 [141]E(f3(a7,a9),a8)
% 1.67/1.75 [105]P6(f12(x1051))
% 1.67/1.75 [106]P6(f13(x1061))
% 1.67/1.75 [107]P6(f14(x1071))
% 1.67/1.75 [108]P6(f15(x1081))
% 1.67/1.75 [109]P6(f16(x1091))
% 1.67/1.75 [110]P6(f17(x1101))
% 1.67/1.75 [111]P6(f18(x1111))
% 1.67/1.75 [112]P6(f19(x1121))
% 1.67/1.75 [113]P6(f20(x1131))
% 1.67/1.75 [114]P6(f21(x1141))
% 1.67/1.75 [115]P6(f22(x1151))
% 1.67/1.75 [116]P6(f23(x1161))
% 1.67/1.75 [117]P6(f24(x1171))
% 1.67/1.75 [118]P6(f25(x1181))
% 1.67/1.75 [119]P6(f26(x1191))
% 1.67/1.75 [120]P6(f27(x1201))
% 1.67/1.75 [121]P6(f28(x1211))
% 1.67/1.75 [122]P6(f29(x1221))
% 1.67/1.75 [123]P6(f30(x1231))
% 1.67/1.75 [124]P6(f31(x1241))
% 1.67/1.75 [125]P6(f32(x1251))
% 1.67/1.75 [126]P7(f53(x1261))
% 1.67/1.75 [127]P7(f51(x1271))
% 1.67/1.75 [128]P7(f52(x1281))
% 1.67/1.75 [129]P7(f50(x1291))
% 1.67/1.75 [130]P7(f48(x1301))
% 1.67/1.75 [131]P7(f49(x1311))
% 1.67/1.75 [132]P7(f46(x1321))
% 1.67/1.75 [133]P7(f47(x1331))
% 1.67/1.75 [134]P7(f44(x1341))
% 1.67/1.75 [135]P7(f45(x1351))
% 1.67/1.75 [136]P7(f42(x1361))
% 1.67/1.75 [137]P7(f43(x1371))
% 1.67/1.75 [138]P7(f33(x1381))
% 1.67/1.75 [139]P7(f34(x1391))
% 1.67/1.75 [140]P7(f35(x1401))
% 1.67/1.75 [142]P6(f38(x1421,x1422))
% 1.67/1.75 [143]P6(f39(x1431,x1432))
% 1.67/1.75 [144]P6(f40(x1441,x1442))
% 1.67/1.76 [145]P6(f41(x1451,x1452))
% 1.67/1.76 [146]P6(f36(x1461,x1462))
% 1.67/1.76 [147]P6(f37(x1471,x1472))
% 1.67/1.76 [151]E(a8,a2)+~E(a7,a2)
% 1.67/1.76 [157]~P6(x1571)+P9(x1571,a2)
% 1.67/1.76 [158]~P6(x1581)+P10(x1581,a2)
% 1.67/1.76 [159]~P6(x1591)+P11(x1591,a2)
% 1.67/1.76 [162]~P7(x1621)+P12(x1621,x1621)
% 1.67/1.76 [163]~P6(x1631)+P9(x1631,x1631)
% 1.67/1.76 [164]~P6(x1641)+P10(x1641,x1641)
% 1.67/1.76 [165]~P6(x1651)+P11(x1651,x1651)
% 1.67/1.76 [166]~P7(x1661)+P13(x1661,x1661)
% 1.67/1.76 [171]~P7(x1711)+~P15(a2,x1711)
% 1.67/1.76 [175]~P16(x1751,x1751)+~P7(x1751)
% 1.67/1.76 [160]~P6(x1601)+E(f3(x1601,a2),x1601)
% 1.67/1.76 [161]~P6(x1611)+E(f3(a2,x1611),x1611)
% 1.67/1.76 [180]~P7(x1801)+P1(f5(x1801,a2))
% 1.67/1.76 [181]~P7(x1811)+P2(f5(x1811,a2))
% 1.67/1.76 [182]~P7(x1821)+P4(f5(x1821,a2))
% 1.67/1.76 [183]~P7(x1831)+P18(f5(x1831,a2))
% 1.67/1.76 [184]~P7(x1841)+P5(f5(x1841,a2))
% 1.67/1.76 [185]~P7(x1851)+P19(f5(x1851,a2))
% 1.67/1.76 [186]~P7(x1861)+P3(f5(x1861,a2))
% 1.67/1.76 [167]~P6(x1671)+~E(a2,x1671)+P9(a2,x1671)
% 1.67/1.76 [168]~P6(x1681)+~E(a2,x1681)+P10(a2,x1681)
% 1.67/1.76 [169]~P6(x1691)+~E(a2,x1691)+P11(a2,x1691)
% 1.67/1.76 [172]~P6(x1721)+~P9(a2,x1721)+E(a2,x1721)
% 1.67/1.76 [173]~P6(x1731)+~P10(a2,x1731)+E(a2,x1731)
% 1.67/1.76 [174]~P6(x1741)+~P11(a2,x1741)+E(a2,x1741)
% 1.67/1.76 [154]~P6(x1541)+E(a2,x1541)+P6(f54(x1541))
% 1.67/1.76 [156]~P6(x1561)+E(a2,x1561)+P7(f4(x1561))
% 1.67/1.76 [170]~P6(x1701)+P1(x1701)+~E(f52(x1701),f51(x1701))
% 1.67/1.76 [191]~P6(x1911)+P3(x1911)+P13(f33(x1911),f34(x1911))
% 1.67/1.76 [192]~P6(x1921)+P3(x1921)+P13(f34(x1921),f33(x1921))
% 1.67/1.76 [212]~P6(x2121)+P4(x2121)+~P16(f49(x2121),f48(x2121))
% 1.67/1.76 [213]~P6(x2131)+P18(x2131)+~P13(f47(x2131),f46(x2131))
% 1.67/1.76 [214]~P6(x2141)+P5(x2141)+~P16(f44(x2141),f45(x2141))
% 1.67/1.76 [215]~P6(x2151)+P5(x2151)+~P16(f45(x2151),f44(x2151))
% 1.67/1.76 [216]~P6(x2161)+P19(x2161)+~P13(f42(x2161),f43(x2161))
% 1.67/1.76 [217]~P6(x2171)+P19(x2171)+~P13(f43(x2171),f42(x2171))
% 1.67/1.76 [179]~P6(x1791)+~P8(x1791)+E(f5(f35(x1791),a2),x1791)
% 1.67/1.76 [187]~P6(x1871)+E(a2,x1871)+E(f5(f53(x1871),f12(x1871)),x1871)
% 1.67/1.76 [188]~P6(x1881)+E(a2,x1881)+E(f5(f4(x1881),f54(x1881)),x1881)
% 1.67/1.76 [272]P2(x2721)+~P6(x2721)+E(f3(f3(f17(x2721),f5(f50(x2721),f16(x2721))),f5(f50(x2721),f15(x2721))),x2721)
% 1.67/1.76 [273]P4(x2731)+~P6(x2731)+E(f3(f3(f20(x2731),f5(f49(x2731),f19(x2731))),f5(f48(x2731),f18(x2731))),x2731)
% 1.67/1.76 [274]P18(x2741)+~P6(x2741)+E(f3(f3(f23(x2741),f5(f47(x2741),f22(x2741))),f5(f46(x2741),f21(x2741))),x2741)
% 1.67/1.76 [275]P5(x2751)+~P6(x2751)+E(f3(f3(f26(x2751),f5(f45(x2751),f25(x2751))),f5(f44(x2751),f24(x2751))),x2751)
% 1.67/1.76 [276]P19(x2761)+~P6(x2761)+E(f3(f3(f29(x2761),f5(f43(x2761),f28(x2761))),f5(f42(x2761),f27(x2761))),x2761)
% 1.67/1.76 [277]P3(x2771)+~P6(x2771)+E(f3(f3(f32(x2771),f5(f34(x2771),f31(x2771))),f5(f33(x2771),f30(x2771))),x2771)
% 1.67/1.76 [270]P1(x2701)+~P6(x2701)+E(f3(f14(x2701),f5(f52(x2701),f5(f51(x2701),f13(x2701)))),x2701)
% 1.67/1.76 [152]~P6(x1521)+P2(x1521)+P7(x1522)
% 1.67/1.76 [189]~P6(x1892)+~P7(x1891)+~E(f5(x1891,x1892),a2)
% 1.67/1.76 [190]~P6(x1902)+~P7(x1901)+~E(f5(x1901,x1902),x1902)
% 1.67/1.76 [199]~P6(x1992)+~P7(x1991)+P6(f5(x1991,x1992))
% 1.67/1.76 [200]~P6(x2001)+~P6(x2002)+P6(f3(x2001,x2002))
% 1.67/1.76 [201]~P6(x2012)+~P7(x2011)+E(f54(f5(x2011,x2012)),x2012)
% 1.67/1.76 [202]~P6(x2022)+~P7(x2021)+E(f4(f5(x2021,x2022)),x2021)
% 1.67/1.76 [229]~P6(x2292)+~P7(x2291)+E(f3(f5(x2291,a2),x2292),f5(x2291,x2292))
% 1.67/1.76 [176]P17(x1762,x1761)+~P6(x1762)+~P6(x1761)+E(x1761,x1762)
% 1.67/1.76 [177]P17(x1772,x1771)+~P7(x1772)+~P7(x1771)+E(x1771,x1772)
% 1.67/1.76 [196]~P6(x1962)+~P6(x1961)+~P17(x1961,x1962)+~E(x1961,x1962)
% 1.67/1.76 [197]~P7(x1972)+~P7(x1971)+~P16(x1971,x1972)+~E(x1971,x1972)
% 1.67/1.76 [198]~P7(x1982)+~P7(x1981)+~P17(x1981,x1982)+~E(x1981,x1982)
% 1.67/1.76 [207]~P7(x2071)+~P7(x2072)+~P13(x2072,x2071)+P12(x2071,x2072)
% 1.67/1.76 [208]~P7(x2081)+~P7(x2082)+~P12(x2082,x2081)+P13(x2081,x2082)
% 1.67/1.76 [209]~P7(x2092)+~P7(x2091)+~P16(x2091,x2092)+P13(x2091,x2092)
% 1.67/1.76 [210]~P7(x2101)+~P7(x2102)+~P14(x2102,x2101)+P16(x2101,x2102)
% 1.67/1.76 [211]~P7(x2111)+~P7(x2112)+~P16(x2112,x2111)+P14(x2111,x2112)
% 1.67/1.76 [220]~P16(x2201,x2202)+~P16(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 1.67/1.76 [221]~P14(x2211,x2212)+~P14(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 1.67/1.76 [193]~P6(x1931)+~P6(x1932)+E(a2,x1931)+~E(f3(x1932,x1931),a2)
% 1.67/1.76 [194]~P6(x1942)+~P6(x1941)+E(a2,x1941)+~E(f3(x1941,x1942),a2)
% 1.67/1.76 [195]~P6(x1951)+~P7(x1952)+P8(x1951)+~E(f5(x1952,a2),x1951)
% 1.67/1.76 [204]~P6(x2042)+~P7(x2041)+~E(a2,x2042)+P4(f5(x2041,x2042))
% 1.67/1.76 [205]~P6(x2052)+~P7(x2051)+~E(a2,x2052)+P18(f5(x2051,x2052))
% 1.67/1.76 [206]~P6(x2061)+~P6(x2062)+E(a2,x2061)+E(f4(f3(x2061,x2062)),f4(x2061))
% 1.67/1.76 [231]~P6(x2311)+~P6(x2312)+E(a2,x2311)+E(f54(f3(x2311,x2312)),f3(f54(x2311),x2312))
% 1.67/1.76 [238]~P6(x2381)+~P6(x2382)+~P11(x2382,x2381)+E(f3(x2381,f41(x2382,x2381)),x2382)
% 1.67/1.76 [239]~P6(x2392)+~P6(x2391)+~P10(x2391,x2392)+E(f3(f40(x2391,x2392),x2392),x2391)
% 1.67/1.76 [268]~P6(x2682)+~P6(x2681)+~P9(x2681,x2682)+E(f3(f3(f39(x2681,x2682),x2682),f38(x2682,x2681)),x2681)
% 1.67/1.76 [267]~P6(x2671)+~P7(x2672)+~P15(x2671,x2672)+E(f3(f37(x2671,x2672),f5(x2672,f36(x2672,x2671))),x2671)
% 1.67/1.76 [257]~P6(x2573)+~P6(x2572)+~P7(x2571)+E(f5(x2571,f3(x2572,x2573)),f3(f5(x2571,x2572),x2573))
% 1.67/1.76 [258]~P6(x2581)+~P6(x2582)+~P6(x2583)+E(f3(f3(x2581,x2582),x2583),f3(x2581,f3(x2582,x2583)))
% 1.67/1.76 [219]P16(x2191,x2192)+~P7(x2192)+~P7(x2191)+~P13(x2191,x2192)+E(x2191,x2192)
% 1.67/1.76 [224]~P6(x2242)+~P6(x2241)+~P9(x2242,x2241)+~P9(x2241,x2242)+E(x2241,x2242)
% 1.67/1.76 [225]~P6(x2252)+~P6(x2251)+~P10(x2252,x2251)+~P10(x2251,x2252)+E(x2251,x2252)
% 1.67/1.76 [226]~P6(x2262)+~P6(x2261)+~P11(x2262,x2261)+~P11(x2261,x2262)+E(x2261,x2262)
% 1.67/1.76 [227]~P7(x2272)+~P7(x2271)+~P12(x2272,x2271)+~P12(x2271,x2272)+E(x2271,x2272)
% 1.67/1.76 [228]~P7(x2282)+~P7(x2281)+~P13(x2282,x2281)+~P13(x2281,x2282)+E(x2281,x2282)
% 1.67/1.76 [178]~P6(x1782)+~P6(x1781)+~E(a2,x1782)+~E(a2,x1781)+E(f3(x1781,x1782),a2)
% 1.67/1.76 [234]P4(x2341)+~P6(x2341)+~P7(x2342)+E(a2,x2341)+~P4(f5(x2342,x2341))
% 1.67/1.76 [235]P18(x2351)+~P6(x2351)+~P7(x2352)+E(a2,x2351)+~P18(f5(x2352,x2351))
% 1.67/1.76 [248]~P6(x2481)+~P7(x2482)+E(a2,x2481)+P13(x2482,f4(x2481))+~P18(f5(x2482,x2481))
% 1.67/1.76 [249]~P6(x2491)+~P7(x2492)+E(a2,x2491)+P16(x2492,f4(x2491))+~P4(f5(x2492,x2491))
% 1.67/1.76 [222]~P6(x2221)+~P6(x2222)+~P6(x2223)+P10(x2221,x2222)+~E(f3(x2223,x2222),x2221)
% 1.67/1.76 [223]~P6(x2231)+~P6(x2233)+~P6(x2232)+P11(x2231,x2232)+~E(f3(x2232,x2233),x2231)
% 1.67/1.76 [230]~E(x2303,x2301)+~P6(x2302)+~P7(x2301)+~P7(x2303)+P15(f5(x2301,x2302),x2303)
% 1.67/1.76 [232]~P6(x2322)+~P6(x2321)+~P6(x2323)+E(x2321,x2322)+~E(f3(x2323,x2321),f3(x2323,x2322))
% 1.67/1.76 [233]~P6(x2332)+~P6(x2333)+~P6(x2331)+E(x2331,x2332)+~E(f3(x2331,x2333),f3(x2332,x2333))
% 1.67/1.76 [250]~P6(x2501)+~P6(x2503)+~P6(x2502)+~P10(x2502,x2503)+P10(f3(x2501,x2502),x2503)
% 1.67/1.76 [251]~P6(x2512)+~P6(x2513)+~P6(x2511)+~P11(x2511,x2513)+P11(f3(x2511,x2512),x2513)
% 1.67/1.76 [252]~P6(x2522)+~P7(x2521)+~P7(x2523)+~P15(x2522,x2523)+P15(f5(x2521,x2522),x2523)
% 1.67/1.76 [253]~P6(x2531)+~P6(x2532)+~P7(x2533)+~P15(x2532,x2533)+P15(f3(x2531,x2532),x2533)
% 1.67/1.76 [254]~P6(x2542)+~P6(x2541)+~P7(x2543)+~P15(x2541,x2543)+P15(f3(x2541,x2542),x2543)
% 1.67/1.76 [255]~P4(x2551)+~P6(x2551)+~P7(x2552)+~P16(x2552,f4(x2551))+E(a2,x2551)+P4(f5(x2552,x2551))
% 1.67/1.76 [256]~P18(x2561)+~P6(x2561)+~P7(x2562)+~P13(x2562,f4(x2561))+E(a2,x2561)+P18(f5(x2562,x2561))
% 1.67/1.76 [240]~P7(x2402)+~P7(x2401)+~P12(x2403,x2402)+~P12(x2401,x2403)+P12(x2401,x2402)+~P7(x2403)
% 1.67/1.76 [241]~P6(x2412)+~P6(x2411)+~P9(x2413,x2412)+~P9(x2411,x2413)+P9(x2411,x2412)+~P6(x2413)
% 1.67/1.76 [242]~P6(x2422)+~P6(x2421)+~P10(x2423,x2422)+~P10(x2421,x2423)+P10(x2421,x2422)+~P6(x2423)
% 1.67/1.76 [243]~P6(x2432)+~P6(x2431)+~P11(x2433,x2432)+~P11(x2431,x2433)+P11(x2431,x2432)+~P6(x2433)
% 1.67/1.76 [244]~P7(x2442)+~P7(x2441)+~P13(x2443,x2442)+~P13(x2441,x2443)+P13(x2441,x2442)+~P7(x2443)
% 1.67/1.76 [245]~P7(x2452)+~P7(x2451)+~P13(x2451,x2453)+~P16(x2453,x2452)+P16(x2451,x2452)+~P7(x2453)
% 1.67/1.76 [246]~P7(x2462)+~P7(x2461)+~P16(x2463,x2462)+~P16(x2461,x2463)+P16(x2461,x2462)+~P7(x2463)
% 1.67/1.76 [247]~P7(x2472)+~P7(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P7(x2473)
% 1.67/1.76 [259]~P6(x2593)+~P7(x2592)+~P7(x2591)+E(x2591,x2592)+P15(x2593,x2592)+~P15(f5(x2591,x2593),x2592)
% 1.67/1.76 [262]~P6(x2621)+~P6(x2623)+~P7(x2622)+P15(x2621,x2622)+P15(x2623,x2622)+~P15(f3(x2623,x2621),x2622)
% 1.67/1.76 [236]~P6(x2362)+~P6(x2361)+~P7(x2364)+~P7(x2363)+E(x2361,x2362)+~E(f5(x2363,x2361),f5(x2364,x2362))
% 1.67/1.76 [237]~P6(x2374)+~P6(x2373)+~P7(x2372)+~P7(x2371)+E(x2371,x2372)+~E(f5(x2371,x2373),f5(x2372,x2374))
% 1.67/1.76 [264]~P7(x2642)+~P7(x2641)+E(x2641,x2642)+~P6(x2643)+~P6(x2644)+~P11(f5(x2641,x2644),f5(x2642,x2643))
% 1.67/1.76 [266]~P6(x2662)+~P6(x2661)+P11(x2661,x2662)+~P7(x2663)+~P7(x2664)+~P11(f5(x2664,x2661),f5(x2663,x2662))
% 1.67/1.76 [260]~P6(x2601)+~P6(x2604)+~P6(x2603)+~P7(x2602)+P15(x2601,x2602)+~E(f3(x2603,f5(x2602,x2604)),x2601)
% 1.67/1.76 [261]~P6(x2611)+~P6(x2614)+~P6(x2612)+~P6(x2613)+P9(x2611,x2612)+~E(f3(f3(x2613,x2612),x2614),x2611)
% 1.67/1.76 [265]~P6(x2651)+~P6(x2653)+~P6(x2654)+~P6(x2652)+~P9(x2652,x2654)+P9(f3(f3(x2651,x2652),x2653),x2654)
% 1.67/1.76 [203]~P6(x2032)+~P6(x2031)+E(x2031,x2032)+E(a2,x2032)+E(a2,x2031)+~E(f54(x2031),f54(x2032))+~E(f4(x2031),f4(x2032))
% 1.67/1.76 [263]~E(x2631,x2633)+~P6(x2634)+~P6(x2632)+~P7(x2633)+~P7(x2631)+~P11(x2632,x2634)+P11(f5(x2631,x2632),f5(x2633,x2634))
% 1.67/1.76 [269]~P6(x2691)+~P6(x2694)+~P7(x2692)+~P7(x2693)+~P13(x2692,x2693)+~E(f3(x2691,f5(x2692,a2)),a7)+~E(f3(f5(x2693,a2),x2694),a9)
% 1.67/1.76 [278]~P2(x2785)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P6(x2781)+~P7(x2782)+~E(f3(f3(x2781,f5(x2782,x2783)),f5(x2782,x2784)),x2785)
% 1.67/1.76 [271]~P1(x2715)+~P6(x2715)+~P6(x2714)+~P6(x2713)+~P7(x2712)+~P7(x2711)+E(x2711,x2712)+~E(f3(x2713,f5(x2711,f5(x2712,x2714))),x2715)
% 1.67/1.76 [279]~P18(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P13(x2791,x2792)+~E(f3(f3(x2793,f5(x2791,x2794)),f5(x2792,x2795)),x2796)
% 1.67/1.76 [280]~P4(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P16(x2801,x2802)+~E(f3(f3(x2803,f5(x2801,x2804)),f5(x2802,x2805)),x2806)
% 1.67/1.76 [281]P13(x2812,x2811)+~P19(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P13(x2811,x2812)+~E(f3(f3(x2813,f5(x2812,x2814)),f5(x2811,x2815)),x2816)
% 1.67/1.76 [282]P16(x2822,x2821)+~P5(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P16(x2821,x2822)+~E(f3(f3(x2823,f5(x2822,x2824)),f5(x2821,x2825)),x2826)
% 1.67/1.76 [283]~P3(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2833)+~P6(x2831)+~P7(x2834)+~P7(x2832)+~P13(x2834,x2832)+~P13(x2832,x2834)+~E(f3(f3(x2831,f5(x2832,x2833)),f5(x2834,x2835)),x2836)
% 1.67/1.76 %EqnAxiom
% 1.67/1.76 [1]E(x11,x11)
% 1.67/1.76 [2]E(x22,x21)+~E(x21,x22)
% 1.67/1.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.67/1.76 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 1.67/1.76 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 1.67/1.76 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 1.67/1.76 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 1.67/1.76 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 1.67/1.76 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 1.67/1.76 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 1.67/1.76 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 1.67/1.76 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 1.67/1.76 [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 1.67/1.76 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 1.67/1.76 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 1.67/1.76 [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 1.67/1.76 [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 1.67/1.76 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 1.67/1.76 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 1.67/1.76 [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 1.67/1.76 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 1.67/1.76 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 1.67/1.76 [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 1.67/1.76 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 1.67/1.76 [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 1.67/1.76 [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 1.67/1.76 [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 1.67/1.76 [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 1.67/1.76 [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 1.67/1.76 [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 1.67/1.76 [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 1.67/1.76 [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 1.67/1.76 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 1.67/1.76 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 1.67/1.76 [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 1.67/1.76 [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 1.67/1.76 [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 1.67/1.76 [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 1.67/1.76 [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 1.67/1.76 [40]~E(x401,x402)+E(f3(x401,x403),f3(x402,x403))
% 1.67/1.76 [41]~E(x411,x412)+E(f3(x413,x411),f3(x413,x412))
% 1.67/1.76 [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 1.67/1.76 [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 1.67/1.76 [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 1.67/1.76 [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 1.67/1.76 [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 1.67/1.76 [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 1.67/1.76 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 1.67/1.76 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 1.67/1.76 [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 1.67/1.76 [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 1.67/1.76 [52]~E(x521,x522)+E(f37(x521,x523),f37(x522,x523))
% 1.67/1.76 [53]~E(x531,x532)+E(f37(x533,x531),f37(x533,x532))
% 1.67/1.76 [54]~E(x541,x542)+E(f54(x541),f54(x542))
% 1.67/1.76 [55]~E(x551,x552)+E(f5(x551,x553),f5(x552,x553))
% 1.67/1.76 [56]~E(x561,x562)+E(f5(x563,x561),f5(x563,x562))
% 1.67/1.76 [57]~E(x571,x572)+E(f4(x571),f4(x572))
% 1.67/1.76 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 1.67/1.76 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 1.67/1.76 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 1.67/1.76 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 1.67/1.76 [62]~P7(x621)+P7(x622)+~E(x621,x622)
% 1.67/1.76 [63]~P5(x631)+P5(x632)+~E(x631,x632)
% 1.67/1.76 [64]~P19(x641)+P19(x642)+~E(x641,x642)
% 1.67/1.76 [65]~P3(x651)+P3(x652)+~E(x651,x652)
% 1.67/1.76 [66]~P6(x661)+P6(x662)+~E(x661,x662)
% 1.67/1.76 [67]P15(x672,x673)+~E(x671,x672)+~P15(x671,x673)
% 1.67/1.76 [68]P15(x683,x682)+~E(x681,x682)+~P15(x683,x681)
% 1.67/1.76 [69]P13(x692,x693)+~E(x691,x692)+~P13(x691,x693)
% 1.67/1.76 [70]P13(x703,x702)+~E(x701,x702)+~P13(x703,x701)
% 1.67/1.76 [71]P14(x712,x713)+~E(x711,x712)+~P14(x711,x713)
% 1.67/1.76 [72]P14(x723,x722)+~E(x721,x722)+~P14(x723,x721)
% 1.67/1.76 [73]P16(x732,x733)+~E(x731,x732)+~P16(x731,x733)
% 1.67/1.76 [74]P16(x743,x742)+~E(x741,x742)+~P16(x743,x741)
% 1.67/1.76 [75]P9(x752,x753)+~E(x751,x752)+~P9(x751,x753)
% 1.67/1.76 [76]P9(x763,x762)+~E(x761,x762)+~P9(x763,x761)
% 1.67/1.76 [77]P11(x772,x773)+~E(x771,x772)+~P11(x771,x773)
% 1.67/1.76 [78]P11(x783,x782)+~E(x781,x782)+~P11(x783,x781)
% 1.67/1.76 [79]P10(x792,x793)+~E(x791,x792)+~P10(x791,x793)
% 1.67/1.76 [80]P10(x803,x802)+~E(x801,x802)+~P10(x803,x801)
% 1.67/1.76 [81]P12(x812,x813)+~E(x811,x812)+~P12(x811,x813)
% 1.67/1.76 [82]P12(x823,x822)+~E(x821,x822)+~P12(x823,x821)
% 1.67/1.76 [83]P17(x832,x833)+~E(x831,x832)+~P17(x831,x833)
% 1.67/1.76 [84]P17(x843,x842)+~E(x841,x842)+~P17(x843,x841)
% 1.67/1.76 [85]~P8(x851)+P8(x852)+~E(x851,x852)
% 1.67/1.76
% 1.67/1.76 %-------------------------------------------
% 1.67/1.77 cnf(284,plain,
% 1.67/1.77 (E(a2,a1)),
% 1.67/1.77 inference(scs_inference,[],[86,2])).
% 1.67/1.77 cnf(285,plain,
% 1.67/1.77 (~P16(a10,a10)),
% 1.67/1.77 inference(scs_inference,[],[86,103,2,175])).
% 1.67/1.77 cnf(287,plain,
% 1.67/1.77 (~P8(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,103,150,2,175,85])).
% 1.67/1.77 cnf(288,plain,
% 1.67/1.77 (P3(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,96,103,150,2,175,85,65])).
% 1.67/1.77 cnf(289,plain,
% 1.67/1.77 (P19(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,95,96,103,150,2,175,85,65,64])).
% 1.67/1.77 cnf(290,plain,
% 1.67/1.77 (P5(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,94,95,96,103,150,2,175,85,65,64,63])).
% 1.67/1.77 cnf(292,plain,
% 1.67/1.77 (P4(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60])).
% 1.67/1.77 cnf(293,plain,
% 1.67/1.77 (P2(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,90,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60,59])).
% 1.67/1.77 cnf(294,plain,
% 1.67/1.77 (P1(a1)),
% 1.67/1.77 inference(scs_inference,[],[86,89,90,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60,59,58])).
% 1.67/1.77 cnf(296,plain,
% 1.67/1.77 (P11(a2,a1)),
% 1.67/1.77 inference(scs_inference,[],[86,99,149,89,90,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60,59,58,3,169])).
% 1.67/1.77 cnf(298,plain,
% 1.67/1.77 (P10(a2,a1)),
% 1.67/1.77 inference(scs_inference,[],[86,99,149,89,90,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60,59,58,3,169,168])).
% 1.67/1.77 cnf(300,plain,
% 1.67/1.77 (P9(a2,a1)),
% 1.67/1.77 inference(scs_inference,[],[86,99,149,89,90,91,92,94,95,96,103,150,2,175,85,65,64,63,61,60,59,58,3,169,168,167])).
% 1.67/1.77 cnf(302,plain,
% 1.67/1.77 (P11(a8,a7)),
% 1.67/1.77 inference(scs_inference,[],[86,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223])).
% 1.67/1.77 cnf(304,plain,
% 1.67/1.77 (P10(a8,a9)),
% 1.67/1.77 inference(scs_inference,[],[86,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222])).
% 1.67/1.77 cnf(306,plain,
% 1.67/1.77 (~P15(a2,a10)),
% 1.67/1.77 inference(scs_inference,[],[86,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171])).
% 1.67/1.77 cnf(308,plain,
% 1.67/1.77 (P13(a10,a10)),
% 1.67/1.77 inference(scs_inference,[],[86,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166])).
% 1.67/1.77 cnf(310,plain,
% 1.67/1.77 (P11(a6,a6)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165])).
% 1.67/1.77 cnf(312,plain,
% 1.67/1.77 (P10(a6,a6)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164])).
% 1.67/1.77 cnf(314,plain,
% 1.67/1.77 (P9(a6,a6)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163])).
% 1.67/1.77 cnf(318,plain,
% 1.67/1.77 (P11(a6,a2)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159])).
% 1.67/1.77 cnf(320,plain,
% 1.67/1.77 (P10(a6,a2)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158])).
% 1.67/1.77 cnf(322,plain,
% 1.67/1.77 (P9(a6,a2)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157])).
% 1.67/1.77 cnf(343,plain,
% 1.67/1.77 (E(f5(x3431,a1),f5(x3431,a2))),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157,186,185,184,183,182,181,180,161,160,57,56])).
% 1.67/1.77 cnf(358,plain,
% 1.67/1.77 (E(f3(x3581,a1),f3(x3581,a2))),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157,186,185,184,183,182,181,180,161,160,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41])).
% 1.67/1.77 cnf(368,plain,
% 1.67/1.77 (E(f46(a1),f46(a2))),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157,186,185,184,183,182,181,180,161,160,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31])).
% 1.67/1.77 cnf(388,plain,
% 1.67/1.77 (E(f19(a1),f19(a2))),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157,186,185,184,183,182,181,180,161,160,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.67/1.77 cnf(397,plain,
% 1.67/1.77 (~P15(a1,a10)),
% 1.67/1.77 inference(scs_inference,[],[86,98,99,100,101,102,149,89,90,91,92,94,95,96,103,150,141,2,175,85,65,64,63,61,60,59,58,3,169,168,167,223,222,171,166,165,164,163,162,159,158,157,186,185,184,183,182,181,180,161,160,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,67])).
% 1.67/1.77 cnf(509,plain,
% 1.67/1.77 (P6(f5(f53(x5091),f12(x5092)))),
% 1.67/1.77 inference(scs_inference,[],[105,126,89,96,148,104,97,103,308,271,283,202,200,199])).
% 1.67/1.77 cnf(511,plain,
% 1.67/1.77 (~E(f5(f53(x5111),f12(x5112)),a2)),
% 1.67/1.77 inference(scs_inference,[],[105,126,89,96,148,104,97,103,308,271,283,202,200,199,189])).
% 1.67/1.77 cnf(527,plain,
% 1.67/1.77 (E(f3(f3(f39(a6,a6),a6),f38(a6,a6)),a6)),
% 1.67/1.77 inference(scs_inference,[],[105,126,89,96,148,104,99,97,103,98,284,285,287,308,310,314,271,283,202,200,199,189,210,195,205,204,258,257,238,268])).
% 1.67/1.77 cnf(529,plain,
% 1.67/1.77 (~P11(a2,a6)),
% 1.67/1.77 inference(scs_inference,[],[105,126,89,96,148,104,149,99,97,103,98,284,285,287,308,310,314,318,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226])).
% 1.72/1.77 cnf(531,plain,
% 1.72/1.77 (~P10(a2,a6)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,96,148,104,149,99,97,103,98,284,285,287,308,310,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225])).
% 1.72/1.77 cnf(533,plain,
% 1.72/1.77 (P11(f3(a6,a6),a6)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,96,148,104,149,99,97,103,98,284,285,287,308,310,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251])).
% 1.72/1.77 cnf(535,plain,
% 1.72/1.77 (P10(f3(a6,a6),a6)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,96,148,104,149,99,97,103,98,284,285,287,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250])).
% 1.72/1.77 cnf(539,plain,
% 1.72/1.77 (P9(f3(f3(a6,a6),a6),a6)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,96,148,104,149,99,97,103,98,284,285,287,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265])).
% 1.72/1.77 cnf(544,plain,
% 1.72/1.77 (~E(a1,a6)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,90,96,148,104,149,99,97,103,98,284,285,287,298,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80])).
% 1.72/1.77 cnf(545,plain,
% 1.72/1.77 (P10(a1,a1)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,90,96,148,104,149,99,97,103,98,284,285,287,298,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79])).
% 1.72/1.77 cnf(546,plain,
% 1.72/1.77 (P11(a1,a1)),
% 1.72/1.77 inference(scs_inference,[],[105,126,89,90,96,148,104,149,99,97,103,98,284,285,287,296,298,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77])).
% 1.72/1.77 cnf(547,plain,
% 1.72/1.77 (P9(a2,a2)),
% 1.72/1.77 inference(scs_inference,[],[86,105,126,89,90,96,148,104,149,99,97,103,98,284,285,287,296,298,300,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76])).
% 1.72/1.77 cnf(549,plain,
% 1.72/1.77 (~E(a2,a6)),
% 1.72/1.77 inference(scs_inference,[],[86,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169])).
% 1.72/1.77 cnf(559,plain,
% 1.72/1.77 (P17(a2,a6)),
% 1.72/1.77 inference(scs_inference,[],[86,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176])).
% 1.72/1.77 cnf(563,plain,
% 1.72/1.77 (~P9(a2,a6)),
% 1.72/1.77 inference(scs_inference,[],[86,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,322,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176,239,224])).
% 1.72/1.77 cnf(567,plain,
% 1.72/1.77 (P17(a1,a6)),
% 1.72/1.77 inference(scs_inference,[],[86,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,322,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176,239,224,223,83])).
% 1.72/1.77 cnf(568,plain,
% 1.72/1.77 (P11(a6,a7)),
% 1.72/1.77 inference(scs_inference,[],[86,87,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,322,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176,239,224,223,83,78])).
% 1.72/1.77 cnf(569,plain,
% 1.72/1.77 (P9(a1,a1)),
% 1.72/1.77 inference(scs_inference,[],[86,87,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,322,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176,239,224,223,83,78,75])).
% 1.72/1.77 cnf(570,plain,
% 1.72/1.77 (~P15(f3(f40(a1,a1),a1),a10)),
% 1.72/1.77 inference(scs_inference,[],[86,87,105,126,89,90,96,148,104,149,99,97,103,98,284,285,343,287,296,298,300,308,310,312,314,318,320,322,397,271,283,202,200,199,189,210,195,205,204,258,257,238,268,226,225,251,250,222,265,278,2,80,79,77,76,60,169,201,190,229,177,176,239,224,223,83,78,75,67])).
% 1.72/1.77 cnf(642,plain,
% 1.72/1.77 (P11(f3(a1,a1),a1)),
% 1.72/1.77 inference(scs_inference,[],[107,144,94,100,101,99,97,103,98,549,570,302,546,569,285,254,282,156,154,187,188,258,238,268,251])).
% 1.72/1.77 cnf(644,plain,
% 1.72/1.77 (E(f3(a1,a1),a2)),
% 1.72/1.77 inference(scs_inference,[],[107,144,94,100,284,101,99,97,103,98,549,570,302,546,569,285,254,282,156,154,187,188,258,238,268,251,178])).
% 1.72/1.77 cnf(647,plain,
% 1.72/1.77 (P2(a8)),
% 1.72/1.77 inference(scs_inference,[],[88,107,144,94,100,284,101,99,97,103,98,549,570,290,293,302,546,569,285,254,282,156,154,187,188,258,238,268,251,178,63,59])).
% 1.72/1.77 cnf(657,plain,
% 1.72/1.77 (P10(f3(a1,a1),a1)),
% 1.72/1.77 inference(scs_inference,[],[88,127,107,144,94,150,100,284,101,99,97,103,98,549,570,290,293,294,302,545,546,569,285,254,282,156,154,187,188,258,238,268,251,178,63,59,58,195,205,204,257,250])).
% 1.72/1.77 cnf(659,plain,
% 1.72/1.77 (P9(f3(f3(a1,a1),a1),a1)),
% 1.72/1.77 inference(scs_inference,[],[88,127,107,144,94,150,100,284,101,99,97,103,98,549,570,290,293,294,302,545,546,569,285,254,282,156,154,187,188,258,238,268,251,178,63,59,58,195,205,204,257,250,265])).
% 1.72/1.77 cnf(665,plain,
% 1.72/1.77 (P17(a2,a7)),
% 1.72/1.77 inference(scs_inference,[],[87,88,127,107,144,94,150,100,284,101,99,97,103,98,549,559,570,288,289,290,293,294,302,545,546,569,285,254,282,156,154,187,188,258,238,268,251,178,63,59,58,195,205,204,257,250,265,278,65,64,84])).
% 1.72/1.77 cnf(669,plain,
% 1.72/1.77 (E(a7,a6)),
% 1.72/1.77 inference(scs_inference,[],[87,88,127,107,144,94,102,150,100,284,101,99,97,103,98,549,531,559,570,288,289,290,293,294,302,304,545,546,569,285,86,254,282,156,154,187,188,258,238,268,251,178,63,59,58,195,205,204,257,250,265,278,65,64,84,79,239,2])).
% 1.72/1.77 cnf(680,plain,
% 1.72/1.77 (~P15(f5(a11,a2),a10)),
% 1.72/1.77 inference(scs_inference,[],[87,88,127,107,144,94,102,150,100,284,148,101,104,99,97,103,98,549,529,531,544,563,306,559,570,527,288,289,290,293,294,302,304,545,546,569,285,86,254,282,156,154,187,188,258,238,268,251,178,63,59,58,195,205,204,257,250,265,278,65,64,84,79,239,2,80,77,76,75,3,78,211,194,259])).
% 1.72/1.77 cnf(714,plain,
% 1.72/1.77 (~E(a2,a7)),
% 1.72/1.77 inference(scs_inference,[],[108,94,100,97,103,665,285,282,196])).
% 1.72/1.77 cnf(718,plain,
% 1.72/1.77 (~E(f3(a6,a6),a2)),
% 1.72/1.77 inference(scs_inference,[],[108,94,100,97,103,98,665,285,549,282,196,194,193])).
% 1.72/1.77 cnf(730,plain,
% 1.72/1.77 (~E(f3(f3(a8,f5(f50(x7301),a8)),f5(f50(x7301),a8)),a8)),
% 1.72/1.77 inference(scs_inference,[],[108,129,94,102,100,101,97,103,98,547,647,665,304,302,285,549,282,196,194,193,206,231,251,250,265,278])).
% 1.72/1.77 cnf(732,plain,
% 1.72/1.77 (P17(a1,a7)),
% 1.72/1.77 inference(scs_inference,[],[87,108,129,94,102,100,101,97,103,98,547,647,665,567,304,302,285,549,282,196,194,193,206,231,251,250,265,278,84])).
% 1.72/1.77 cnf(738,plain,
% 1.72/1.77 (P9(a7,a2)),
% 1.72/1.77 inference(scs_inference,[],[87,108,129,94,102,100,101,97,103,98,547,535,533,539,568,647,665,567,312,304,322,302,285,549,282,196,194,193,206,231,251,250,265,278,84,80,79,77,78,76,75])).
% 1.72/1.77 cnf(766,plain,
% 1.72/1.77 (P9(f3(f3(a7,a7),a7),a2)),
% 1.72/1.77 inference(scs_inference,[],[109,130,91,285,100,101,99,97,103,732,738,647,280,196,278,265])).
% 1.72/1.77 cnf(769,plain,
% 1.72/1.77 (E(f3(x7691,a1),f3(x7691,a2))),
% 1.72/1.77 inference(rename_variables,[],[358])).
% 1.72/1.77 cnf(771,plain,
% 1.72/1.77 (E(f3(x7711,a1),f3(x7711,a2))),
% 1.72/1.77 inference(rename_variables,[],[358])).
% 1.72/1.77 cnf(785,plain,
% 1.72/1.77 (P16(a11,a10)+~P11(a2,a7)),
% 1.72/1.77 inference(scs_inference,[],[88,109,130,91,285,148,100,104,101,99,97,103,718,659,714,657,642,732,738,358,769,771,644,647,280,196,278,265,79,77,78,80,75,76,3,2,219,209,173,174])).
% 1.72/1.77 cnf(804,plain,
% 1.72/1.77 (~P17(a2,a8)),
% 1.72/1.77 inference(scs_inference,[],[88,284,101,99,196,83])).
% 1.72/1.77 cnf(805,plain,
% 1.72/1.77 (E(a8,a2)),
% 1.72/1.77 inference(scs_inference,[],[88,284,101,99,97,196,83,176])).
% 1.72/1.77 cnf(807,plain,
% 1.72/1.77 (~E(a7,a8)),
% 1.72/1.77 inference(scs_inference,[],[88,284,101,99,97,732,196,83,176,84])).
% 1.72/1.77 cnf(903,plain,
% 1.72/1.77 (P7(f46(x9031))),
% 1.72/1.77 inference(rename_variables,[],[132])).
% 1.72/1.77 cnf(908,plain,
% 1.72/1.77 (P7(f46(x9081))),
% 1.72/1.77 inference(rename_variables,[],[132])).
% 1.72/1.77 cnf(952,plain,
% 1.72/1.77 (P17(a2,f5(f53(x9521),f12(x9522)))),
% 1.72/1.77 inference(scs_inference,[],[132,903,908,112,141,91,284,101,100,99,97,368,511,807,509,738,714,302,166,164,163,162,158,157,185,181,161,50,49,43,40,36,34,33,29,28,27,23,22,21,18,17,16,15,12,10,9,8,5,4,82,175,226,210,57,56,55,54,53,52,51,48,47,46,45,44,42,41,39,38,37,35,32,31,30,26,25,24,20,19,14,13,11,7,6,81,70,69,266,224,280,196,176])).
% 1.72/1.77 cnf(957,plain,
% 1.72/1.77 (P11(a2,a7)),
% 1.72/1.77 inference(scs_inference,[],[132,903,908,112,141,91,284,101,100,99,97,368,511,805,804,807,680,509,738,343,714,302,166,164,163,162,158,157,185,181,161,50,49,43,40,36,34,33,29,28,27,23,22,21,18,17,16,15,12,10,9,8,5,4,82,175,226,210,57,56,55,54,53,52,51,48,47,46,45,44,42,41,39,38,37,35,32,31,30,26,25,24,20,19,14,13,11,7,6,81,70,69,266,224,280,196,176,83,67,77])).
% 1.72/1.77 cnf(965,plain,
% 1.72/1.77 (P16(a11,a10)),
% 1.72/1.77 inference(scs_inference,[],[132,903,908,112,141,91,284,101,100,99,97,368,388,511,805,730,766,804,807,680,547,509,320,738,343,714,302,166,164,163,162,158,157,185,181,161,50,49,43,40,36,34,33,29,28,27,23,22,21,18,17,16,15,12,10,9,8,5,4,82,175,226,210,57,56,55,54,53,52,51,48,47,46,45,44,42,41,39,38,37,35,32,31,30,26,25,24,20,19,14,13,11,7,6,81,70,69,266,224,280,196,176,83,67,77,78,79,76,80,75,3,2,785])).
% 1.72/1.77 cnf(1033,plain,
% 1.72/1.77 ($false),
% 1.72/1.77 inference(scs_inference,[],[93,133,113,104,100,97,103,965,952,292,957,669,509,714,88,202,200,201,199,189,190,229,220,209,60,61,196,174]),
% 1.72/1.77 ['proof']).
% 1.72/1.77 % SZS output end Proof
% 1.72/1.77 % Total time :1.050000s
%------------------------------------------------------------------------------