TSTP Solution File: SWC398-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC398-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 20:18:49 EDT 2023
% Result : Unsatisfiable 1.91s 2.01s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC398-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 17:53:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 1.77/2.00 %-------------------------------------------
% 1.77/2.00 % File :CSE---1.6
% 1.77/2.00 % Problem :theBenchmark
% 1.77/2.00 % Transform :cnf
% 1.77/2.00 % Format :tptp:raw
% 1.77/2.00 % Command :java -jar mcs_scs.jar %d %s
% 1.77/2.00
% 1.77/2.00 % Result :Theorem 1.310000s
% 1.77/2.00 % Output :CNFRefutation 1.310000s
% 1.77/2.00 %-------------------------------------------
% 1.91/2.01 %--------------------------------------------------------------------------
% 1.91/2.01 % File : SWC398-1 : TPTP v8.1.2. Released v2.4.0.
% 1.91/2.01 % Domain : Software Creation
% 1.91/2.01 % Problem : cond_subst_x_run_eq_front2
% 1.91/2.01 % Version : [Wei00] axioms.
% 1.91/2.01 % English : Find components in a software library that match a given target
% 1.91/2.01 % specification given in first-order logic. The components are
% 1.91/2.01 % specified in first-order logic as well. The problem represents
% 1.91/2.01 % a test of one library module specification against a target
% 1.91/2.01 % specification.
% 1.91/2.01
% 1.91/2.01 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.91/2.01 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.91/2.01 % Source : [TPTP]
% 1.91/2.01 % Names :
% 1.91/2.01
% 1.91/2.01 % Status : Unsatisfiable
% 1.91/2.01 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.2.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.45 v5.4.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.22 v2.5.0, 0.11 v2.4.0
% 1.91/2.01 % Syntax : Number of clauses : 199 ( 66 unt; 33 nHn; 156 RR)
% 1.91/2.01 % Number of literals : 623 ( 105 equ; 405 neg)
% 1.91/2.01 % Maximal clause size : 10 ( 3 avg)
% 1.91/2.01 % Maximal term depth : 5 ( 1 avg)
% 1.91/2.01 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 1.91/2.01 % Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% 1.91/2.01 % Number of variables : 329 ( 49 sgn)
% 1.91/2.01 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.91/2.01
% 1.91/2.01 % Comments : Created by CNF conversion from SWC398+1
% 1.91/2.01 %--------------------------------------------------------------------------
% 1.91/2.01 %----Include list specification axioms
% 1.91/2.01 include('Axioms/SWC001-0.ax').
% 1.91/2.01 %--------------------------------------------------------------------------
% 1.91/2.01 cnf(co1_1,negated_conjecture,
% 1.91/2.01 ssList(sk1) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_2,negated_conjecture,
% 1.91/2.01 ssList(sk2) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_3,negated_conjecture,
% 1.91/2.01 ssList(sk3) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_4,negated_conjecture,
% 1.91/2.01 ssList(sk4) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_5,negated_conjecture,
% 1.91/2.01 sk2 = sk4 ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_6,negated_conjecture,
% 1.91/2.01 sk1 = sk3 ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_7,negated_conjecture,
% 1.91/2.01 ssList(sk5) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_8,negated_conjecture,
% 1.91/2.01 app(sk3,sk5) = sk4 ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_9,negated_conjecture,
% 1.91/2.01 equalelemsP(sk3) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_10,negated_conjecture,
% 1.91/2.01 ( ~ ssItem(A)
% 1.91/2.01 | ~ ssList(B)
% 1.91/2.01 | app(cons(A,nil),B) != sk5
% 1.91/2.01 | ~ ssList(C)
% 1.91/2.01 | app(C,cons(A,nil)) != sk3 ) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_11,negated_conjecture,
% 1.91/2.01 ssItem(sk6) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_12,negated_conjecture,
% 1.91/2.01 memberP(sk1,sk6) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_13,negated_conjecture,
% 1.91/2.01 ~ memberP(sk2,sk6) ).
% 1.91/2.01
% 1.91/2.01 cnf(co1_14,negated_conjecture,
% 1.91/2.01 ( nil = sk4
% 1.91/2.01 | nil != sk3 ) ).
% 1.91/2.01
% 1.91/2.01 %--------------------------------------------------------------------------
% 1.91/2.01 %-------------------------------------------
% 1.91/2.01 % Proof found
% 1.91/2.01 % SZS status Theorem for theBenchmark
% 1.91/2.01 % SZS output start Proof
% 1.91/2.01 %ClaNum:284(EqnAxiom:85)
% 1.91/2.01 %VarNum:898(SingletonVarNum:325)
% 1.91/2.01 %MaxLitNum:10
% 1.91/2.01 %MaxfuncDepth:4
% 1.91/2.01 %SharedTerms:36
% 1.91/2.01 %goalClause: 86 87 89 97 98 99 100 101 104 141 142 151 152 266
% 1.91/2.01 %singleGoalClaCount:12
% 1.91/2.01 [86]E(a1,a2)
% 1.91/2.01 [87]E(a7,a8)
% 1.91/2.01 [88]P1(a3)
% 1.91/2.01 [89]P1(a1)
% 1.91/2.01 [90]P2(a3)
% 1.91/2.01 [91]P4(a3)
% 1.91/2.01 [92]P18(a3)
% 1.91/2.01 [93]P5(a3)
% 1.91/2.01 [94]P19(a3)
% 1.91/2.01 [95]P3(a3)
% 1.91/2.01 [96]P6(a3)
% 1.91/2.01 [97]P6(a2)
% 1.91/2.01 [98]P6(a7)
% 1.91/2.01 [99]P6(a1)
% 1.91/2.01 [100]P6(a8)
% 1.91/2.01 [101]P6(a9)
% 1.91/2.01 [102]P7(a10)
% 1.91/2.01 [103]P7(a11)
% 1.91/2.01 [104]P7(a12)
% 1.91/2.01 [142]P8(a2,a12)
% 1.91/2.01 [149]~E(a11,a10)
% 1.91/2.01 [150]~P14(a3)
% 1.91/2.01 [151]~P8(a7,a12)
% 1.91/2.01 [141]E(f4(a1,a9),a8)
% 1.91/2.01 [105]P6(f13(x1051))
% 1.91/2.01 [106]P6(f14(x1061))
% 1.91/2.01 [107]P6(f15(x1071))
% 1.91/2.01 [108]P6(f16(x1081))
% 1.91/2.01 [109]P6(f17(x1091))
% 1.91/2.01 [110]P6(f18(x1101))
% 1.91/2.01 [111]P6(f19(x1111))
% 1.91/2.01 [112]P6(f20(x1121))
% 1.91/2.01 [113]P6(f21(x1131))
% 1.91/2.01 [114]P6(f22(x1141))
% 1.91/2.01 [115]P6(f23(x1151))
% 1.91/2.01 [116]P6(f24(x1161))
% 1.91/2.01 [117]P6(f25(x1171))
% 1.91/2.01 [118]P6(f26(x1181))
% 1.91/2.01 [119]P6(f27(x1191))
% 1.91/2.01 [120]P6(f28(x1201))
% 1.91/2.01 [121]P6(f29(x1211))
% 1.91/2.01 [122]P6(f30(x1221))
% 1.91/2.01 [123]P6(f31(x1231))
% 1.91/2.01 [124]P6(f32(x1241))
% 1.91/2.01 [125]P6(f33(x1251))
% 1.91/2.01 [126]P7(f54(x1261))
% 1.91/2.01 [127]P7(f52(x1271))
% 1.91/2.01 [128]P7(f53(x1281))
% 1.91/2.01 [129]P7(f51(x1291))
% 1.91/2.01 [130]P7(f49(x1301))
% 1.91/2.01 [131]P7(f50(x1311))
% 1.91/2.01 [132]P7(f47(x1321))
% 1.91/2.01 [133]P7(f48(x1331))
% 1.91/2.01 [134]P7(f45(x1341))
% 1.91/2.01 [135]P7(f46(x1351))
% 1.91/2.01 [136]P7(f43(x1361))
% 1.91/2.01 [137]P7(f44(x1371))
% 1.91/2.01 [138]P7(f34(x1381))
% 1.91/2.01 [139]P7(f35(x1391))
% 1.91/2.01 [140]P7(f36(x1401))
% 1.91/2.01 [143]P6(f39(x1431,x1432))
% 1.91/2.01 [144]P6(f40(x1441,x1442))
% 1.91/2.01 [145]P6(f41(x1451,x1452))
% 1.91/2.01 [146]P6(f42(x1461,x1462))
% 1.91/2.01 [147]P6(f37(x1471,x1472))
% 1.91/2.01 [148]P6(f38(x1481,x1482))
% 1.91/2.01 [152]E(a3,a8)+~E(a1,a3)
% 1.91/2.01 [158]~P6(x1581)+P15(x1581,a3)
% 1.91/2.01 [159]~P6(x1591)+P16(x1591,a3)
% 1.91/2.01 [160]~P6(x1601)+P9(x1601,a3)
% 1.91/2.01 [163]~P7(x1631)+P10(x1631,x1631)
% 1.91/2.01 [164]~P6(x1641)+P15(x1641,x1641)
% 1.91/2.01 [165]~P6(x1651)+P16(x1651,x1651)
% 1.91/2.01 [166]~P6(x1661)+P9(x1661,x1661)
% 1.91/2.01 [167]~P7(x1671)+P11(x1671,x1671)
% 1.91/2.01 [172]~P7(x1721)+~P8(a3,x1721)
% 1.91/2.01 [176]~P13(x1761,x1761)+~P7(x1761)
% 1.91/2.01 [161]~P6(x1611)+E(f4(x1611,a3),x1611)
% 1.91/2.01 [162]~P6(x1621)+E(f4(a3,x1621),x1621)
% 1.91/2.01 [181]~P7(x1811)+P1(f6(x1811,a3))
% 1.91/2.01 [182]~P7(x1821)+P2(f6(x1821,a3))
% 1.91/2.01 [183]~P7(x1831)+P4(f6(x1831,a3))
% 1.91/2.01 [184]~P7(x1841)+P18(f6(x1841,a3))
% 1.91/2.01 [185]~P7(x1851)+P5(f6(x1851,a3))
% 1.91/2.01 [186]~P7(x1861)+P19(f6(x1861,a3))
% 1.91/2.01 [187]~P7(x1871)+P3(f6(x1871,a3))
% 1.91/2.01 [168]~P6(x1681)+~E(a3,x1681)+P15(a3,x1681)
% 1.91/2.01 [169]~P6(x1691)+~E(a3,x1691)+P16(a3,x1691)
% 1.91/2.01 [170]~P6(x1701)+~E(a3,x1701)+P9(a3,x1701)
% 1.91/2.01 [173]~P6(x1731)+~P15(a3,x1731)+E(a3,x1731)
% 1.91/2.01 [174]~P6(x1741)+~P16(a3,x1741)+E(a3,x1741)
% 1.91/2.02 [175]~P6(x1751)+~P9(a3,x1751)+E(a3,x1751)
% 1.91/2.02 [155]~P6(x1551)+E(a3,x1551)+P6(f55(x1551))
% 1.91/2.02 [157]~P6(x1571)+E(a3,x1571)+P7(f5(x1571))
% 1.91/2.02 [171]~P6(x1711)+P1(x1711)+~E(f53(x1711),f52(x1711))
% 1.91/2.02 [192]~P6(x1921)+P3(x1921)+P11(f34(x1921),f35(x1921))
% 1.91/2.02 [193]~P6(x1931)+P3(x1931)+P11(f35(x1931),f34(x1931))
% 1.91/2.02 [213]~P6(x2131)+P4(x2131)+~P13(f50(x2131),f49(x2131))
% 1.91/2.02 [214]~P6(x2141)+P18(x2141)+~P11(f48(x2141),f47(x2141))
% 1.91/2.02 [215]~P6(x2151)+P5(x2151)+~P13(f45(x2151),f46(x2151))
% 1.91/2.02 [216]~P6(x2161)+P5(x2161)+~P13(f46(x2161),f45(x2161))
% 1.91/2.02 [217]~P6(x2171)+P19(x2171)+~P11(f43(x2171),f44(x2171))
% 1.91/2.02 [218]~P6(x2181)+P19(x2181)+~P11(f44(x2181),f43(x2181))
% 1.91/2.02 [180]~P6(x1801)+~P14(x1801)+E(f6(f36(x1801),a3),x1801)
% 1.91/2.02 [188]~P6(x1881)+E(a3,x1881)+E(f6(f54(x1881),f13(x1881)),x1881)
% 1.91/2.02 [189]~P6(x1891)+E(a3,x1891)+E(f6(f5(x1891),f55(x1891)),x1891)
% 1.91/2.02 [273]P2(x2731)+~P6(x2731)+E(f4(f4(f18(x2731),f6(f51(x2731),f17(x2731))),f6(f51(x2731),f16(x2731))),x2731)
% 1.91/2.02 [274]P4(x2741)+~P6(x2741)+E(f4(f4(f21(x2741),f6(f50(x2741),f20(x2741))),f6(f49(x2741),f19(x2741))),x2741)
% 1.91/2.02 [275]P18(x2751)+~P6(x2751)+E(f4(f4(f24(x2751),f6(f48(x2751),f23(x2751))),f6(f47(x2751),f22(x2751))),x2751)
% 1.91/2.02 [276]P5(x2761)+~P6(x2761)+E(f4(f4(f27(x2761),f6(f46(x2761),f26(x2761))),f6(f45(x2761),f25(x2761))),x2761)
% 1.91/2.02 [277]P19(x2771)+~P6(x2771)+E(f4(f4(f30(x2771),f6(f44(x2771),f29(x2771))),f6(f43(x2771),f28(x2771))),x2771)
% 1.91/2.02 [278]P3(x2781)+~P6(x2781)+E(f4(f4(f33(x2781),f6(f35(x2781),f32(x2781))),f6(f34(x2781),f31(x2781))),x2781)
% 1.91/2.02 [271]P1(x2711)+~P6(x2711)+E(f4(f15(x2711),f6(f53(x2711),f6(f52(x2711),f14(x2711)))),x2711)
% 1.91/2.02 [153]~P6(x1531)+P2(x1531)+P7(x1532)
% 1.91/2.02 [190]~P6(x1902)+~P7(x1901)+~E(f6(x1901,x1902),a3)
% 1.91/2.02 [191]~P6(x1912)+~P7(x1911)+~E(f6(x1911,x1912),x1912)
% 1.91/2.02 [200]~P6(x2002)+~P7(x2001)+P6(f6(x2001,x2002))
% 1.91/2.02 [201]~P6(x2011)+~P6(x2012)+P6(f4(x2011,x2012))
% 1.91/2.02 [202]~P6(x2022)+~P7(x2021)+E(f55(f6(x2021,x2022)),x2022)
% 1.91/2.02 [203]~P6(x2032)+~P7(x2031)+E(f5(f6(x2031,x2032)),x2031)
% 1.91/2.02 [230]~P6(x2302)+~P7(x2301)+E(f4(f6(x2301,a3),x2302),f6(x2301,x2302))
% 1.91/2.02 [177]P17(x1772,x1771)+~P6(x1772)+~P6(x1771)+E(x1771,x1772)
% 1.91/2.02 [178]P17(x1782,x1781)+~P7(x1782)+~P7(x1781)+E(x1781,x1782)
% 1.91/2.02 [197]~P6(x1972)+~P6(x1971)+~P17(x1971,x1972)+~E(x1971,x1972)
% 1.91/2.02 [198]~P7(x1982)+~P7(x1981)+~P13(x1981,x1982)+~E(x1981,x1982)
% 1.91/2.02 [199]~P7(x1992)+~P7(x1991)+~P17(x1991,x1992)+~E(x1991,x1992)
% 1.91/2.02 [208]~P7(x2081)+~P7(x2082)+~P11(x2082,x2081)+P10(x2081,x2082)
% 1.91/2.02 [209]~P7(x2091)+~P7(x2092)+~P10(x2092,x2091)+P11(x2091,x2092)
% 1.91/2.02 [210]~P7(x2102)+~P7(x2101)+~P13(x2101,x2102)+P11(x2101,x2102)
% 1.91/2.02 [211]~P7(x2111)+~P7(x2112)+~P12(x2112,x2111)+P13(x2111,x2112)
% 1.91/2.02 [212]~P7(x2121)+~P7(x2122)+~P13(x2122,x2121)+P12(x2121,x2122)
% 1.91/2.02 [221]~P13(x2211,x2212)+~P13(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 1.91/2.02 [222]~P12(x2221,x2222)+~P12(x2222,x2221)+~P7(x2221)+~P7(x2222)
% 1.91/2.02 [194]~P6(x1941)+~P6(x1942)+E(a3,x1941)+~E(f4(x1942,x1941),a3)
% 1.91/2.02 [195]~P6(x1952)+~P6(x1951)+E(a3,x1951)+~E(f4(x1951,x1952),a3)
% 1.91/2.02 [196]~P6(x1961)+~P7(x1962)+P14(x1961)+~E(f6(x1962,a3),x1961)
% 1.91/2.02 [205]~P6(x2052)+~P7(x2051)+~E(a3,x2052)+P4(f6(x2051,x2052))
% 1.91/2.02 [206]~P6(x2062)+~P7(x2061)+~E(a3,x2062)+P18(f6(x2061,x2062))
% 1.91/2.02 [207]~P6(x2071)+~P6(x2072)+E(a3,x2071)+E(f5(f4(x2071,x2072)),f5(x2071))
% 1.91/2.02 [232]~P6(x2321)+~P6(x2322)+E(a3,x2321)+E(f55(f4(x2321,x2322)),f4(f55(x2321),x2322))
% 1.91/2.02 [239]~P6(x2391)+~P6(x2392)+~P9(x2392,x2391)+E(f4(x2391,f42(x2392,x2391)),x2392)
% 1.91/2.02 [240]~P6(x2402)+~P6(x2401)+~P16(x2401,x2402)+E(f4(f41(x2401,x2402),x2402),x2401)
% 1.91/2.02 [270]~P6(x2702)+~P6(x2701)+~P15(x2701,x2702)+E(f4(f4(f40(x2701,x2702),x2702),f39(x2702,x2701)),x2701)
% 1.91/2.02 [269]~P6(x2691)+~P7(x2692)+~P8(x2691,x2692)+E(f4(f38(x2691,x2692),f6(x2692,f37(x2692,x2691))),x2691)
% 1.91/2.02 [258]~P6(x2583)+~P6(x2582)+~P7(x2581)+E(f6(x2581,f4(x2582,x2583)),f4(f6(x2581,x2582),x2583))
% 1.91/2.02 [259]~P6(x2591)+~P6(x2592)+~P6(x2593)+E(f4(f4(x2591,x2592),x2593),f4(x2591,f4(x2592,x2593)))
% 1.91/2.02 [220]P13(x2201,x2202)+~P7(x2202)+~P7(x2201)+~P11(x2201,x2202)+E(x2201,x2202)
% 1.91/2.02 [225]~P6(x2252)+~P6(x2251)+~P15(x2252,x2251)+~P15(x2251,x2252)+E(x2251,x2252)
% 1.91/2.02 [226]~P6(x2262)+~P6(x2261)+~P16(x2262,x2261)+~P16(x2261,x2262)+E(x2261,x2262)
% 1.91/2.02 [227]~P6(x2272)+~P6(x2271)+~P9(x2272,x2271)+~P9(x2271,x2272)+E(x2271,x2272)
% 1.91/2.02 [228]~P7(x2282)+~P7(x2281)+~P10(x2282,x2281)+~P10(x2281,x2282)+E(x2281,x2282)
% 1.91/2.02 [229]~P7(x2292)+~P7(x2291)+~P11(x2292,x2291)+~P11(x2291,x2292)+E(x2291,x2292)
% 1.91/2.02 [179]~P6(x1792)+~P6(x1791)+~E(a3,x1792)+~E(a3,x1791)+E(f4(x1791,x1792),a3)
% 1.91/2.02 [235]P4(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P4(f6(x2352,x2351))
% 1.91/2.02 [236]P18(x2361)+~P6(x2361)+~P7(x2362)+E(a3,x2361)+~P18(f6(x2362,x2361))
% 1.91/2.02 [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P11(x2492,f5(x2491))+~P18(f6(x2492,x2491))
% 1.91/2.02 [250]~P6(x2501)+~P7(x2502)+E(a3,x2501)+P13(x2502,f5(x2501))+~P4(f6(x2502,x2501))
% 1.91/2.02 [223]~P6(x2231)+~P6(x2232)+~P6(x2233)+P16(x2231,x2232)+~E(f4(x2233,x2232),x2231)
% 1.91/2.02 [224]~P6(x2241)+~P6(x2243)+~P6(x2242)+P9(x2241,x2242)+~E(f4(x2242,x2243),x2241)
% 1.91/2.02 [231]~E(x2313,x2311)+~P6(x2312)+~P7(x2311)+~P7(x2313)+P8(f6(x2311,x2312),x2313)
% 1.91/2.02 [233]~P6(x2332)+~P6(x2331)+~P6(x2333)+E(x2331,x2332)+~E(f4(x2333,x2331),f4(x2333,x2332))
% 1.91/2.02 [234]~P6(x2342)+~P6(x2343)+~P6(x2341)+E(x2341,x2342)+~E(f4(x2341,x2343),f4(x2342,x2343))
% 1.91/2.02 [251]~P6(x2511)+~P6(x2513)+~P6(x2512)+~P16(x2512,x2513)+P16(f4(x2511,x2512),x2513)
% 1.91/2.02 [252]~P6(x2522)+~P6(x2523)+~P6(x2521)+~P9(x2521,x2523)+P9(f4(x2521,x2522),x2523)
% 1.91/2.02 [253]~P6(x2532)+~P7(x2531)+~P7(x2533)+~P8(x2532,x2533)+P8(f6(x2531,x2532),x2533)
% 1.91/2.02 [254]~P6(x2541)+~P6(x2542)+~P7(x2543)+~P8(x2542,x2543)+P8(f4(x2541,x2542),x2543)
% 1.91/2.02 [255]~P6(x2552)+~P6(x2551)+~P7(x2553)+~P8(x2551,x2553)+P8(f4(x2551,x2552),x2553)
% 1.91/2.02 [266]~P6(x2661)+~P6(x2663)+~P7(x2662)+~E(f4(f6(x2662,a3),x2663),a9)+~E(f4(x2661,f6(x2662,a3)),a1)
% 1.91/2.02 [256]~P4(x2561)+~P6(x2561)+~P7(x2562)+~P13(x2562,f5(x2561))+E(a3,x2561)+P4(f6(x2562,x2561))
% 1.91/2.02 [257]~P18(x2571)+~P6(x2571)+~P7(x2572)+~P11(x2572,f5(x2571))+E(a3,x2571)+P18(f6(x2572,x2571))
% 1.91/2.02 [241]~P7(x2412)+~P7(x2411)+~P10(x2413,x2412)+~P10(x2411,x2413)+P10(x2411,x2412)+~P7(x2413)
% 1.91/2.02 [242]~P6(x2422)+~P6(x2421)+~P15(x2423,x2422)+~P15(x2421,x2423)+P15(x2421,x2422)+~P6(x2423)
% 1.91/2.02 [243]~P6(x2432)+~P6(x2431)+~P16(x2433,x2432)+~P16(x2431,x2433)+P16(x2431,x2432)+~P6(x2433)
% 1.91/2.02 [244]~P6(x2442)+~P6(x2441)+~P9(x2443,x2442)+~P9(x2441,x2443)+P9(x2441,x2442)+~P6(x2443)
% 1.91/2.02 [245]~P7(x2452)+~P7(x2451)+~P11(x2453,x2452)+~P11(x2451,x2453)+P11(x2451,x2452)+~P7(x2453)
% 1.91/2.02 [246]~P7(x2462)+~P7(x2461)+~P11(x2461,x2463)+~P13(x2463,x2462)+P13(x2461,x2462)+~P7(x2463)
% 1.91/2.02 [247]~P7(x2472)+~P7(x2471)+~P13(x2473,x2472)+~P13(x2471,x2473)+P13(x2471,x2472)+~P7(x2473)
% 1.91/2.02 [248]~P7(x2482)+~P7(x2481)+~P12(x2483,x2482)+~P12(x2481,x2483)+P12(x2481,x2482)+~P7(x2483)
% 1.91/2.02 [260]~P6(x2603)+~P7(x2602)+~P7(x2601)+E(x2601,x2602)+P8(x2603,x2602)+~P8(f6(x2601,x2603),x2602)
% 1.91/2.02 [263]~P6(x2631)+~P6(x2633)+~P7(x2632)+P8(x2631,x2632)+P8(x2633,x2632)+~P8(f4(x2633,x2631),x2632)
% 1.91/2.02 [237]~P6(x2372)+~P6(x2371)+~P7(x2374)+~P7(x2373)+E(x2371,x2372)+~E(f6(x2373,x2371),f6(x2374,x2372))
% 1.91/2.02 [238]~P6(x2384)+~P6(x2383)+~P7(x2382)+~P7(x2381)+E(x2381,x2382)+~E(f6(x2381,x2383),f6(x2382,x2384))
% 1.91/2.02 [265]~P7(x2652)+~P7(x2651)+E(x2651,x2652)+~P6(x2653)+~P6(x2654)+~P9(f6(x2651,x2654),f6(x2652,x2653))
% 1.91/2.02 [268]~P6(x2682)+~P6(x2681)+P9(x2681,x2682)+~P7(x2683)+~P7(x2684)+~P9(f6(x2684,x2681),f6(x2683,x2682))
% 1.91/2.02 [261]~P6(x2611)+~P6(x2614)+~P6(x2613)+~P7(x2612)+P8(x2611,x2612)+~E(f4(x2613,f6(x2612,x2614)),x2611)
% 1.91/2.02 [262]~P6(x2621)+~P6(x2624)+~P6(x2622)+~P6(x2623)+P15(x2621,x2622)+~E(f4(f4(x2623,x2622),x2624),x2621)
% 1.91/2.02 [267]~P6(x2671)+~P6(x2673)+~P6(x2674)+~P6(x2672)+~P15(x2672,x2674)+P15(f4(f4(x2671,x2672),x2673),x2674)
% 1.91/2.02 [204]~P6(x2042)+~P6(x2041)+E(x2041,x2042)+E(a3,x2042)+E(a3,x2041)+~E(f55(x2041),f55(x2042))+~E(f5(x2041),f5(x2042))
% 1.91/2.02 [264]~E(x2641,x2643)+~P6(x2644)+~P6(x2642)+~P7(x2643)+~P7(x2641)+~P9(x2642,x2644)+P9(f6(x2641,x2642),f6(x2643,x2644))
% 1.91/2.02 [279]~P2(x2795)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P6(x2791)+~P7(x2792)+~E(f4(f4(x2791,f6(x2792,x2793)),f6(x2792,x2794)),x2795)
% 1.91/2.02 [272]~P1(x2725)+~P6(x2725)+~P6(x2724)+~P6(x2723)+~P7(x2722)+~P7(x2721)+E(x2721,x2722)+~E(f4(x2723,f6(x2721,f6(x2722,x2724))),x2725)
% 1.91/2.02 [280]~P18(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P11(x2801,x2802)+~E(f4(f4(x2803,f6(x2801,x2804)),f6(x2802,x2805)),x2806)
% 1.91/2.02 [281]~P4(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2812)+~P7(x2811)+P13(x2811,x2812)+~E(f4(f4(x2813,f6(x2811,x2814)),f6(x2812,x2815)),x2816)
% 1.91/2.02 [282]P11(x2822,x2821)+~P19(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P11(x2821,x2822)+~E(f4(f4(x2823,f6(x2822,x2824)),f6(x2821,x2825)),x2826)
% 1.91/2.02 [283]P13(x2832,x2831)+~P5(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2831)+~P7(x2832)+P13(x2831,x2832)+~E(f4(f4(x2833,f6(x2832,x2834)),f6(x2831,x2835)),x2836)
% 1.91/2.02 [284]~P3(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2843)+~P6(x2841)+~P7(x2844)+~P7(x2842)+~P11(x2844,x2842)+~P11(x2842,x2844)+~E(f4(f4(x2841,f6(x2842,x2843)),f6(x2844,x2845)),x2846)
% 1.91/2.02 %EqnAxiom
% 1.91/2.02 [1]E(x11,x11)
% 1.91/2.02 [2]E(x22,x21)+~E(x21,x22)
% 1.91/2.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.91/2.02 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 1.91/2.02 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 1.91/2.02 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 1.91/2.02 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 1.91/2.02 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 1.91/2.02 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 1.91/2.02 [10]~E(x101,x102)+E(f19(x101),f19(x102))
% 1.91/2.02 [11]~E(x111,x112)+E(f20(x111),f20(x112))
% 1.91/2.02 [12]~E(x121,x122)+E(f21(x121),f21(x122))
% 1.91/2.02 [13]~E(x131,x132)+E(f22(x131),f22(x132))
% 1.91/2.02 [14]~E(x141,x142)+E(f23(x141),f23(x142))
% 1.91/2.02 [15]~E(x151,x152)+E(f24(x151),f24(x152))
% 1.91/2.02 [16]~E(x161,x162)+E(f25(x161),f25(x162))
% 1.91/2.02 [17]~E(x171,x172)+E(f26(x171),f26(x172))
% 1.91/2.02 [18]~E(x181,x182)+E(f27(x181),f27(x182))
% 1.91/2.02 [19]~E(x191,x192)+E(f28(x191),f28(x192))
% 1.91/2.02 [20]~E(x201,x202)+E(f29(x201),f29(x202))
% 1.91/2.02 [21]~E(x211,x212)+E(f30(x211),f30(x212))
% 1.91/2.02 [22]~E(x221,x222)+E(f31(x221),f31(x222))
% 1.91/2.02 [23]~E(x231,x232)+E(f32(x231),f32(x232))
% 1.91/2.02 [24]~E(x241,x242)+E(f33(x241),f33(x242))
% 1.91/2.02 [25]~E(x251,x252)+E(f54(x251),f54(x252))
% 1.91/2.02 [26]~E(x261,x262)+E(f52(x261),f52(x262))
% 1.91/2.02 [27]~E(x271,x272)+E(f53(x271),f53(x272))
% 1.91/2.02 [28]~E(x281,x282)+E(f51(x281),f51(x282))
% 1.91/2.02 [29]~E(x291,x292)+E(f49(x291),f49(x292))
% 1.91/2.02 [30]~E(x301,x302)+E(f50(x301),f50(x302))
% 1.91/2.02 [31]~E(x311,x312)+E(f47(x311),f47(x312))
% 1.91/2.02 [32]~E(x321,x322)+E(f48(x321),f48(x322))
% 1.91/2.02 [33]~E(x331,x332)+E(f45(x331),f45(x332))
% 1.91/2.02 [34]~E(x341,x342)+E(f46(x341),f46(x342))
% 1.91/2.02 [35]~E(x351,x352)+E(f43(x351),f43(x352))
% 1.91/2.02 [36]~E(x361,x362)+E(f44(x361),f44(x362))
% 1.91/2.02 [37]~E(x371,x372)+E(f34(x371),f34(x372))
% 1.91/2.02 [38]~E(x381,x382)+E(f35(x381),f35(x382))
% 1.91/2.02 [39]~E(x391,x392)+E(f36(x391),f36(x392))
% 1.91/2.02 [40]~E(x401,x402)+E(f4(x401,x403),f4(x402,x403))
% 1.91/2.02 [41]~E(x411,x412)+E(f4(x413,x411),f4(x413,x412))
% 1.91/2.02 [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 1.91/2.02 [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 1.91/2.02 [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 1.91/2.02 [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 1.91/2.02 [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 1.91/2.02 [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 1.91/2.02 [48]~E(x481,x482)+E(f42(x481,x483),f42(x482,x483))
% 1.91/2.02 [49]~E(x491,x492)+E(f42(x493,x491),f42(x493,x492))
% 1.91/2.02 [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 1.91/2.02 [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 1.91/2.02 [52]~E(x521,x522)+E(f38(x521,x523),f38(x522,x523))
% 1.91/2.02 [53]~E(x531,x532)+E(f38(x533,x531),f38(x533,x532))
% 1.91/2.02 [54]~E(x541,x542)+E(f55(x541),f55(x542))
% 1.91/2.02 [55]~E(x551,x552)+E(f6(x551,x553),f6(x552,x553))
% 1.91/2.02 [56]~E(x561,x562)+E(f6(x563,x561),f6(x563,x562))
% 1.91/2.02 [57]~E(x571,x572)+E(f5(x571),f5(x572))
% 1.91/2.02 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 1.91/2.02 [59]P11(x592,x593)+~E(x591,x592)+~P11(x591,x593)
% 1.91/2.02 [60]P11(x603,x602)+~E(x601,x602)+~P11(x603,x601)
% 1.91/2.02 [61]~P2(x611)+P2(x612)+~E(x611,x612)
% 1.91/2.02 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 1.91/2.02 [63]~P18(x631)+P18(x632)+~E(x631,x632)
% 1.91/2.02 [64]~P5(x641)+P5(x642)+~E(x641,x642)
% 1.91/2.02 [65]~P19(x651)+P19(x652)+~E(x651,x652)
% 1.91/2.02 [66]~P3(x661)+P3(x662)+~E(x661,x662)
% 1.91/2.02 [67]~P6(x671)+P6(x672)+~E(x671,x672)
% 1.91/2.02 [68]~P7(x681)+P7(x682)+~E(x681,x682)
% 1.91/2.02 [69]P15(x692,x693)+~E(x691,x692)+~P15(x691,x693)
% 1.91/2.02 [70]P15(x703,x702)+~E(x701,x702)+~P15(x703,x701)
% 1.91/2.02 [71]P8(x712,x713)+~E(x711,x712)+~P8(x711,x713)
% 1.91/2.02 [72]P8(x723,x722)+~E(x721,x722)+~P8(x723,x721)
% 1.91/2.02 [73]P9(x732,x733)+~E(x731,x732)+~P9(x731,x733)
% 1.91/2.02 [74]P9(x743,x742)+~E(x741,x742)+~P9(x743,x741)
% 1.91/2.02 [75]P16(x752,x753)+~E(x751,x752)+~P16(x751,x753)
% 1.91/2.02 [76]P16(x763,x762)+~E(x761,x762)+~P16(x763,x761)
% 1.91/2.02 [77]P13(x772,x773)+~E(x771,x772)+~P13(x771,x773)
% 1.91/2.02 [78]P13(x783,x782)+~E(x781,x782)+~P13(x783,x781)
% 1.91/2.02 [79]~P14(x791)+P14(x792)+~E(x791,x792)
% 1.91/2.02 [80]P10(x802,x803)+~E(x801,x802)+~P10(x801,x803)
% 1.91/2.02 [81]P10(x813,x812)+~E(x811,x812)+~P10(x813,x811)
% 1.91/2.02 [82]P17(x822,x823)+~E(x821,x822)+~P17(x821,x823)
% 1.91/2.02 [83]P17(x833,x832)+~E(x831,x832)+~P17(x833,x831)
% 1.91/2.02 [84]P12(x842,x843)+~E(x841,x842)+~P12(x841,x843)
% 1.91/2.02 [85]P12(x853,x852)+~E(x851,x852)+~P12(x853,x851)
% 1.91/2.02
% 1.91/2.02 %-------------------------------------------
% 1.91/2.02 cnf(285,plain,
% 1.91/2.02 (E(a2,a1)),
% 1.91/2.02 inference(scs_inference,[],[86,2])).
% 1.91/2.02 cnf(286,plain,
% 1.91/2.02 (~P13(a12,a12)),
% 1.91/2.02 inference(scs_inference,[],[86,104,2,176])).
% 1.91/2.02 cnf(290,plain,
% 1.91/2.02 (P9(a8,a1)),
% 1.91/2.02 inference(scs_inference,[],[86,89,99,100,101,104,142,151,141,2,176,71,58,224])).
% 1.91/2.02 cnf(292,plain,
% 1.91/2.02 (P16(a8,a9)),
% 1.91/2.02 inference(scs_inference,[],[86,89,99,100,101,104,142,151,141,2,176,71,58,224,223])).
% 1.91/2.02 cnf(296,plain,
% 1.91/2.02 (P11(a12,a12)),
% 1.91/2.02 inference(scs_inference,[],[86,89,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167])).
% 1.91/2.02 cnf(298,plain,
% 1.91/2.02 (P9(a2,a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166])).
% 1.91/2.02 cnf(300,plain,
% 1.91/2.02 (P16(a2,a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165])).
% 1.91/2.02 cnf(302,plain,
% 1.91/2.02 (P15(a2,a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164])).
% 1.91/2.02 cnf(304,plain,
% 1.91/2.02 (P10(a12,a12)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163])).
% 1.91/2.02 cnf(306,plain,
% 1.91/2.02 (P9(a2,a3)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160])).
% 1.91/2.02 cnf(308,plain,
% 1.91/2.02 (P16(a2,a3)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159])).
% 1.91/2.02 cnf(331,plain,
% 1.91/2.02 (E(f6(x3311,a1),f6(x3311,a2))),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56])).
% 1.91/2.02 cnf(360,plain,
% 1.91/2.02 (E(f53(a1),f53(a2))),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27])).
% 1.91/2.02 cnf(384,plain,
% 1.91/2.02 (~P13(a12,x3841)+~E(x3841,a12)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78])).
% 1.91/2.02 cnf(386,plain,
% 1.91/2.02 (E(f5(f6(a12,a2)),a12)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203])).
% 1.91/2.02 cnf(388,plain,
% 1.91/2.02 (E(f55(f6(a12,a2)),a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202])).
% 1.91/2.02 cnf(392,plain,
% 1.91/2.02 (P6(f6(a12,a2))),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200])).
% 1.91/2.02 cnf(396,plain,
% 1.91/2.02 (~E(f6(a12,a2),a3)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190])).
% 1.91/2.02 cnf(398,plain,
% 1.91/2.02 (E(f4(f6(a12,a3),a2),f6(a12,a2))),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230])).
% 1.91/2.02 cnf(400,plain,
% 1.91/2.02 (~P12(a12,a12)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222])).
% 1.91/2.02 cnf(402,plain,
% 1.91/2.02 (~P13(a10,a10)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,102,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221])).
% 1.91/2.02 cnf(406,plain,
% 1.91/2.02 (~P17(a1,a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,99,100,101,104,142,151,102,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197])).
% 1.91/2.02 cnf(410,plain,
% 1.91/2.02 (P17(a7,a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,102,103,149,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177])).
% 1.91/2.02 cnf(414,plain,
% 1.91/2.02 (E(f4(f4(a2,a2),a2),f4(a2,f4(a2,a2)))),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259])).
% 1.91/2.02 cnf(422,plain,
% 1.91/2.02 (E(f4(f4(f40(a2,a2),a2),f39(a2,a2)),a2)),
% 1.91/2.02 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270])).
% 1.91/2.02 cnf(426,plain,
% 1.91/2.02 (P8(f4(a2,a2),a12)),
% 1.91/2.03 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270,269,255])).
% 1.91/2.03 cnf(432,plain,
% 1.91/2.03 (P9(f4(a8,a2),a1)),
% 1.91/2.03 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270,269,255,254,253,252])).
% 1.91/2.03 cnf(440,plain,
% 1.91/2.03 (P15(f4(f4(a2,a2),a2),a2)),
% 1.91/2.03 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270,269,255,254,253,252,251,234,233,267])).
% 1.91/2.03 cnf(442,plain,
% 1.91/2.03 (~P8(f4(a7,a7),a12)),
% 1.91/2.03 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270,269,255,254,253,252,251,234,233,267,263])).
% 1.91/2.03 cnf(446,plain,
% 1.91/2.03 (~P9(f6(a11,a2),f6(a10,a2))),
% 1.91/2.03 inference(scs_inference,[],[86,89,97,98,99,100,101,104,142,151,96,102,103,149,150,141,2,176,71,58,224,223,172,167,166,165,164,163,160,159,158,187,186,185,184,183,182,181,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,203,202,201,200,191,190,230,222,221,211,197,178,177,196,259,258,240,239,270,269,255,254,253,252,251,234,233,267,263,261,265])).
% 1.91/2.03 cnf(472,plain,
% 1.91/2.03 (~P13(a12,f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[386,384])).
% 1.91/2.03 cnf(473,plain,
% 1.91/2.03 (P15(f4(a2,f4(a2,a2)),a2)),
% 1.91/2.03 inference(scs_inference,[],[414,440,386,384,69])).
% 1.91/2.03 cnf(480,plain,
% 1.91/2.03 (E(f55(f6(f54(x4801),f13(x4802))),f13(x4802))),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,96,102,104,286,414,440,386,402,384,69,281,283,203,202])).
% 1.91/2.03 cnf(482,plain,
% 1.91/2.03 (P6(f6(f54(x4821),f13(x4822)))),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,96,102,104,286,414,440,386,402,384,69,281,283,203,202,200])).
% 1.91/2.03 cnf(484,plain,
% 1.91/2.03 (E(f4(f6(f54(x4841),a3),f13(x4842)),f6(f54(x4841),f13(x4842)))),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,96,102,104,286,414,440,386,402,384,69,281,283,203,202,200,230])).
% 1.91/2.03 cnf(490,plain,
% 1.91/2.03 (P9(f4(a2,a2),a2)),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,150,96,102,104,97,286,414,300,440,386,298,402,384,69,281,283,203,202,200,230,196,240,252])).
% 1.91/2.03 cnf(496,plain,
% 1.91/2.03 (P16(a1,a2)),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,90,150,96,102,104,97,286,414,300,440,386,285,298,402,384,69,281,283,203,202,200,230,196,240,252,251,279,75])).
% 1.91/2.03 cnf(501,plain,
% 1.91/2.03 (~E(f6(f54(x5011),f13(x5012)),f13(x5012))),
% 1.91/2.03 inference(scs_inference,[],[91,93,105,126,90,150,96,142,102,104,97,286,414,300,440,386,442,285,298,402,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191])).
% 1.91/2.03 cnf(515,plain,
% 1.91/2.03 (~E(a10,a11)),
% 1.91/2.03 inference(scs_inference,[],[88,91,93,105,126,90,150,96,103,149,142,102,104,97,286,392,414,300,396,440,386,442,285,298,402,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2])).
% 1.91/2.03 cnf(516,plain,
% 1.91/2.03 (P17(a7,a1)),
% 1.91/2.03 inference(scs_inference,[],[88,91,93,105,126,90,150,96,103,149,142,102,104,97,286,392,414,300,396,440,386,442,285,298,402,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83])).
% 1.91/2.03 cnf(520,plain,
% 1.91/2.03 (P9(a1,a2)),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,90,150,96,103,149,142,102,104,97,286,392,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73])).
% 1.91/2.03 cnf(521,plain,
% 1.91/2.03 (~E(a8,a1)),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,87,90,150,96,103,149,142,102,104,97,286,392,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73,3])).
% 1.91/2.03 cnf(523,plain,
% 1.91/2.03 (P16(a1,a1)),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,87,90,150,96,103,149,142,99,102,104,97,286,392,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73,3,68,243])).
% 1.91/2.03 cnf(525,plain,
% 1.91/2.03 (~E(a3,f6(a12,a2))),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,87,90,150,96,103,149,142,99,102,104,97,286,392,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73,3,68,243,197])).
% 1.91/2.03 cnf(528,plain,
% 1.91/2.03 (~P13(f5(f6(a12,a2)),a12)),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,87,90,150,96,103,149,142,99,102,104,97,286,392,400,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73,3,68,243,197,85,77])).
% 1.91/2.03 cnf(529,plain,
% 1.91/2.03 (~P8(a7,f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[86,88,91,93,105,126,87,90,150,96,151,103,149,142,99,102,104,97,286,392,400,414,300,396,440,386,432,442,285,298,402,406,410,384,69,281,283,203,202,200,230,196,240,252,251,279,75,71,70,201,191,190,177,259,258,239,272,2,83,82,76,74,73,3,68,243,197,85,77,72])).
% 1.91/2.03 cnf(559,plain,
% 1.91/2.03 (~P9(a3,f6(a12,a2))),
% 1.91/2.03 inference(scs_inference,[],[525,392,175])).
% 1.91/2.03 cnf(561,plain,
% 1.91/2.03 (~P16(a3,f6(a12,a2))),
% 1.91/2.03 inference(scs_inference,[],[525,392,175,174])).
% 1.91/2.03 cnf(563,plain,
% 1.91/2.03 (~P15(a3,f6(a12,a2))),
% 1.91/2.03 inference(scs_inference,[],[525,392,175,174,173])).
% 1.91/2.03 cnf(565,plain,
% 1.91/2.03 (~P9(a1,a8)),
% 1.91/2.03 inference(scs_inference,[],[100,99,525,290,521,392,175,174,173,227])).
% 1.91/2.03 cnf(569,plain,
% 1.91/2.03 (P7(f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[100,99,525,290,521,392,175,174,173,227,155,157])).
% 1.91/2.03 cnf(573,plain,
% 1.91/2.03 (E(f6(f54(f6(a12,a2)),f13(f6(a12,a2))),f6(a12,a2))),
% 1.91/2.03 inference(scs_inference,[],[100,99,525,290,521,392,175,174,173,227,155,157,189,188])).
% 1.91/2.03 cnf(577,plain,
% 1.91/2.03 (P16(f4(a1,a1),a1)),
% 1.91/2.03 inference(scs_inference,[],[127,150,100,99,96,525,290,521,523,392,175,174,173,227,155,157,189,188,196,251])).
% 1.91/2.03 cnf(587,plain,
% 1.91/2.03 (~P13(f5(f6(a12,a2)),f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[106,127,93,150,103,100,99,102,96,515,525,528,290,521,523,402,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78])).
% 1.91/2.03 cnf(588,plain,
% 1.91/2.03 (P15(a1,a2)),
% 1.91/2.03 inference(scs_inference,[],[106,127,93,150,103,285,100,99,102,96,302,515,525,528,290,521,523,402,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69])).
% 1.91/2.03 cnf(602,plain,
% 1.91/2.03 (P8(a1,a12)),
% 1.91/2.03 inference(scs_inference,[],[106,127,93,90,150,103,142,285,100,98,99,102,96,97,398,302,515,525,528,290,496,520,521,523,402,410,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69,197,258,240,239,279,70,259,71])).
% 1.91/2.03 cnf(604,plain,
% 1.91/2.03 (~E(f6(f54(x6041),f13(x6042)),f55(f6(f54(x6043),f13(x6042))))),
% 1.91/2.03 inference(scs_inference,[],[106,127,93,90,150,103,142,285,100,98,99,102,96,97,480,501,398,331,302,446,515,525,528,290,496,520,521,523,402,410,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69,197,258,240,239,279,70,259,71,73,3])).
% 1.91/2.03 cnf(606,plain,
% 1.91/2.03 (E(a8,a7)),
% 1.91/2.03 inference(scs_inference,[],[87,106,127,93,90,150,103,142,285,100,98,99,102,96,97,480,501,398,331,302,446,515,525,528,290,496,520,521,523,402,410,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69,197,258,240,239,279,70,259,71,73,3,2])).
% 1.91/2.03 cnf(608,plain,
% 1.91/2.03 (~P17(a2,a2)),
% 1.91/2.03 inference(scs_inference,[],[87,106,127,93,90,150,103,142,285,100,98,99,102,96,97,480,501,398,422,331,302,446,515,525,528,290,496,520,521,523,402,406,410,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69,197,258,240,239,279,70,259,71,73,3,2,83,82])).
% 1.91/2.03 cnf(616,plain,
% 1.91/2.03 (E(f5(f4(f6(a12,a2),f14(x6161))),f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[87,106,127,93,90,150,103,142,285,100,98,99,102,96,97,480,501,398,422,331,302,446,515,525,528,290,496,520,521,523,296,402,406,410,386,392,175,174,173,227,155,157,189,188,196,251,224,223,283,178,78,69,197,258,240,239,279,70,259,71,73,3,2,83,82,76,74,60,195,194,207])).
% 1.91/2.03 cnf(664,plain,
% 1.91/2.03 (E(f54(f6(a12,a2)),a12)),
% 1.91/2.03 inference(scs_inference,[],[91,126,105,104,97,573,472,569,386,525,392,250,199,207,232,62,238])).
% 1.91/2.03 cnf(665,plain,
% 1.91/2.03 (P6(f13(x6651))),
% 1.91/2.03 inference(rename_variables,[],[105])).
% 1.91/2.03 cnf(666,plain,
% 1.91/2.03 (P7(f54(x6661))),
% 1.91/2.03 inference(rename_variables,[],[126])).
% 1.91/2.03 cnf(670,plain,
% 1.91/2.03 (E(a12,f5(f6(a12,a2)))),
% 1.91/2.03 inference(scs_inference,[],[107,91,126,96,105,104,97,573,472,569,561,386,525,392,250,199,207,232,62,238,223,178])).
% 1.91/2.03 cnf(689,plain,
% 1.91/2.03 (~P16(a3,f6(f54(f6(a12,a2)),f13(f6(a12,a2))))),
% 1.91/2.03 inference(scs_inference,[],[87,107,128,91,93,151,90,142,101,98,100,285,126,666,96,105,665,104,97,573,472,569,426,561,473,292,306,565,606,528,386,525,392,250,199,207,232,62,238,223,178,72,251,283,237,279,197,70,71,74,73,76])).
% 1.91/2.03 cnf(691,plain,
% 1.91/2.03 (~E(f6(f54(x6911),f13(x6912)),f55(f6(f54(x6913),f13(x6912))))),
% 1.91/2.03 inference(rename_variables,[],[604])).
% 1.91/2.03 cnf(694,plain,
% 1.91/2.03 (P17(a8,a1)),
% 1.91/2.03 inference(scs_inference,[],[87,107,128,91,93,151,90,142,101,98,100,285,126,666,96,105,665,104,97,604,691,573,472,569,426,561,388,473,292,306,516,565,606,608,528,386,525,392,250,199,207,232,62,238,223,178,72,251,283,237,279,197,70,71,74,73,76,3,2,83,82])).
% 1.91/2.03 cnf(696,plain,
% 1.91/2.03 (~P7(f53(a1))+P8(f6(f53(a2),f15(x6961)),f53(a1))),
% 1.91/2.03 inference(scs_inference,[],[87,107,128,91,93,151,90,142,101,98,100,285,126,666,96,105,665,104,97,604,691,573,472,569,426,360,561,388,473,292,306,516,565,606,608,528,296,386,525,392,250,199,207,232,62,238,223,178,72,251,283,237,279,197,70,71,74,73,76,3,2,83,82,59,231])).
% 1.91/2.03 cnf(697,plain,
% 1.91/2.03 (P7(f53(x6971))),
% 1.91/2.03 inference(rename_variables,[],[128])).
% 1.91/2.03 cnf(704,plain,
% 1.91/2.03 (P6(f6(f54(x7041),f13(x7042)))),
% 1.91/2.03 inference(rename_variables,[],[482])).
% 1.91/2.03 cnf(708,plain,
% 1.91/2.03 (~P15(a3,f6(f54(f6(a12,a2)),f13(f6(a12,a2))))),
% 1.91/2.03 inference(scs_inference,[],[87,107,128,697,91,93,151,90,142,101,98,100,285,126,666,99,96,105,665,104,97,604,691,573,472,569,426,360,559,561,563,388,473,292,306,516,565,606,608,482,704,528,520,296,386,525,392,250,199,207,232,62,238,223,178,72,251,283,237,279,197,70,71,74,73,76,3,2,83,82,59,231,262,268,169,244,173])).
% 1.91/2.03 cnf(736,plain,
% 1.91/2.03 (P7(f54(x7361))),
% 1.91/2.03 inference(rename_variables,[],[126])).
% 1.91/2.03 cnf(757,plain,
% 1.91/2.03 (P15(a1,a1)),
% 1.91/2.03 inference(scs_inference,[],[129,108,286,128,93,90,285,126,736,99,96,104,97,616,689,664,670,308,529,588,304,587,496,482,569,696,198,80,231,243,211,81,223,72,283,197,279,70])).
% 1.91/2.03 cnf(758,plain,
% 1.91/2.03 (~P8(a8,a12)),
% 1.91/2.03 inference(scs_inference,[],[129,108,286,128,93,151,90,285,126,736,99,96,104,97,616,689,664,670,308,529,588,304,587,496,606,482,569,696,198,80,231,243,211,81,223,72,283,197,279,70,71])).
% 1.91/2.03 cnf(762,plain,
% 1.91/2.03 (E(f4(a1,a9),a7)),
% 1.91/2.03 inference(scs_inference,[],[129,108,141,286,128,93,151,90,285,126,736,99,96,104,97,490,616,689,664,670,308,529,588,694,304,587,496,606,290,482,569,696,198,80,231,243,211,81,223,72,283,197,279,70,71,82,74,73,3])).
% 1.91/2.03 cnf(764,plain,
% 1.91/2.03 (E(a8,f4(a1,a9))),
% 1.91/2.03 inference(scs_inference,[],[129,108,141,286,128,93,151,90,285,126,736,99,96,104,97,490,616,689,664,670,308,529,577,588,694,304,587,496,606,290,482,569,86,696,198,80,231,243,211,81,223,72,283,197,279,70,71,82,74,73,3,76,2])).
% 1.91/2.03 cnf(814,plain,
% 1.91/2.03 (~P8(f4(a1,a9),a12)),
% 1.91/2.03 inference(scs_inference,[],[109,130,286,141,93,151,101,98,103,100,102,99,96,104,484,708,762,764,757,758,292,515,664,67,267,200,238,75,223,72,283,70,71])).
% 1.91/2.03 cnf(911,plain,
% 1.91/2.03 ($false),
% 1.91/2.03 inference(scs_inference,[],[97,132,101,99,104,814,602,230,255]),
% 1.91/2.03 ['proof']).
% 1.91/2.03 % SZS output end Proof
% 1.91/2.03 % Total time :1.310000s
%------------------------------------------------------------------------------