TSTP Solution File: SET027-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 14:28:02 EDT 2023
% Result : Unsatisfiable 1.03s 1.10s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 16:23:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.03/1.10 %-------------------------------------------
% 1.03/1.10 % File :CSE---1.6
% 1.03/1.10 % Problem :theBenchmark
% 1.03/1.10 % Transform :cnf
% 1.03/1.10 % Format :tptp:raw
% 1.03/1.10 % Command :java -jar mcs_scs.jar %d %s
% 1.03/1.10
% 1.03/1.10 % Result :Theorem 0.440000s
% 1.03/1.10 % Output :CNFRefutation 0.440000s
% 1.03/1.10 %-------------------------------------------
% 1.03/1.10 %--------------------------------------------------------------------------
% 1.03/1.10 % File : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% 1.03/1.10 % Domain : Set Theory
% 1.03/1.10 % Problem : Transitivity of subset
% 1.03/1.10 % Version : [BL+86] axioms.
% 1.03/1.10 % English :
% 1.03/1.10
% 1.03/1.10 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 1.03/1.10 % Source : [BL+86]
% 1.03/1.10 % Names : Lemma 12 [BL+86]
% 1.03/1.10
% 1.03/1.10 % Status : Unsatisfiable
% 1.03/1.10 % Rating : 0.14 v8.1.0, 0.21 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.45 v5.4.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.38 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0, 0.23 v4.0.1, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.10 v2.5.0, 0.33 v2.4.0, 0.11 v2.2.1, 0.22 v2.2.0, 0.11 v2.1.0, 0.22 v2.0.0
% 1.03/1.10 % Syntax : Number of clauses : 144 ( 14 unt; 20 nHn; 121 RR)
% 1.03/1.10 % Number of literals : 358 ( 47 equ; 198 neg)
% 1.03/1.10 % Maximal clause size : 8 ( 2 avg)
% 1.03/1.10 % Maximal term depth : 4 ( 1 avg)
% 1.03/1.10 % Number of predicates : 14 ( 13 usr; 0 prp; 1-5 aty)
% 1.03/1.10 % Number of functors : 62 ( 62 usr; 9 con; 0-5 aty)
% 1.03/1.10 % Number of variables : 320 ( 28 sgn)
% 1.03/1.10 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.03/1.10
% 1.03/1.10 % Comments :
% 1.03/1.10 %--------------------------------------------------------------------------
% 1.03/1.10 %----Include Godel's set axioms
% 1.03/1.10 include('Axioms/SET003-0.ax').
% 1.03/1.10 %--------------------------------------------------------------------------
% 1.03/1.10 cnf(a_subset_b,hypothesis,
% 1.03/1.10 subset(a,b) ).
% 1.03/1.10
% 1.03/1.10 cnf(b_subset_c,hypothesis,
% 1.03/1.10 subset(b,c) ).
% 1.03/1.10
% 1.03/1.10 cnf(prove_a_subset_c,negated_conjecture,
% 1.03/1.10 ~ subset(a,c) ).
% 1.03/1.10
% 1.03/1.10 %--------------------------------------------------------------------------
% 1.03/1.10 %-------------------------------------------
% 1.03/1.10 % Proof found
% 1.03/1.10 % SZS status Theorem for theBenchmark
% 1.03/1.10 % SZS output start Proof
% 1.03/1.11 %ClaNum:252(EqnAxiom:114)
% 1.03/1.11 %VarNum:908(SingletonVarNum:309)
% 1.03/1.11 %MaxLitNum:8
% 1.03/1.11 %MaxfuncDepth:5
% 1.03/1.11 %SharedTerms:15
% 1.03/1.11 %goalClause: 121
% 1.03/1.11 %singleGoalClaCount:1
% 1.03/1.11 [115]P1(a1)
% 1.03/1.11 [116]P2(a2)
% 1.03/1.11 [117]P6(a3,a1)
% 1.03/1.11 [118]P8(a4,a5)
% 1.03/1.11 [119]P8(a5,a7)
% 1.03/1.11 [121]~P8(a4,a7)
% 1.03/1.11 [122]~P6(x1221,a3)
% 1.03/1.11 [120]P1(f49(x1201,x1202))
% 1.03/1.11 [123]~P2(x1231)+P9(x1231)
% 1.03/1.11 [124]~P2(x1241)+P13(x1241)
% 1.03/1.11 [125]~P10(x1251)+P2(x1251)
% 1.03/1.11 [136]~P1(x1361)+P6(x1361,a56)
% 1.03/1.11 [140]P11(x1401)+~P6(x1401,a15)
% 1.03/1.11 [141]P11(x1411)+~P6(x1411,a35)
% 1.03/1.11 [126]P13(x1261)+P1(f13(x1261))
% 1.03/1.11 [127]P13(x1271)+P1(f24(x1271))
% 1.03/1.11 [128]P13(x1281)+P1(f26(x1281))
% 1.03/1.11 [129]P13(x1291)+~E(f26(x1291),f24(x1291))
% 1.03/1.11 [130]~P11(x1301)+P1(f25(x1301))
% 1.03/1.11 [131]~P11(x1311)+P1(f30(x1311))
% 1.03/1.11 [132]~P1(x1321)+P1(f51(x1321))
% 1.03/1.11 [133]~P1(x1331)+P1(f52(x1331))
% 1.03/1.11 [134]~P10(x1341)+P2(f8(x1341))
% 1.03/1.11 [137]P9(x1371)+~P11(f14(x1371))
% 1.03/1.11 [138]P6(f27(x1381),x1381)+E(x1381,a3)
% 1.03/1.11 [139]P3(f27(x1391),x1391)+E(x1391,a3)
% 1.03/1.11 [142]P9(x1421)+P6(f14(x1421),x1421)
% 1.03/1.11 [148]~P6(x1481,a35)+E(f36(x1481),f53(x1481))
% 1.03/1.11 [159]~P6(x1591,a15)+P6(f36(x1591),f53(x1591))
% 1.03/1.11 [210]~P11(x2101)+E(f49(f49(f25(x2101),f25(x2101)),f49(f25(x2101),f30(x2101))),x2101)
% 1.03/1.11 [226]P13(x2261)+P6(f49(f49(f13(x2261),f13(x2261)),f49(f13(x2261),f24(x2261))),x2261)
% 1.03/1.11 [227]P13(x2271)+P6(f49(f49(f13(x2271),f13(x2271)),f49(f13(x2271),f26(x2271))),x2271)
% 1.03/1.11 [233]~P6(x2331,a1)+P6(f9(f50(f9(x2331),f9(f49(x2331,x2331)))),a1)
% 1.03/1.11 [143]~P12(x1431,x1432)+~E(x1431,x1432)
% 1.03/1.11 [144]P1(x1441)+~P4(x1442,x1441)
% 1.03/1.11 [145]P1(x1451)+~P6(x1451,x1452)
% 1.03/1.11 [146]P1(x1461)+~P4(x1461,x1462)
% 1.03/1.11 [153]~P12(x1531,x1532)+P8(x1531,x1532)
% 1.03/1.11 [150]E(x1501,x1502)+P1(f16(x1501,x1502))
% 1.03/1.11 [152]P11(x1521)+~P6(x1521,f8(x1522))
% 1.03/1.11 [158]P8(x1581,x1582)+~P6(x1581,f52(x1582))
% 1.03/1.11 [163]P8(x1631,x1632)+P6(f17(x1631,x1632),x1631)
% 1.03/1.11 [164]P3(x1641,x1642)+P6(f28(x1641,x1642),x1642)
% 1.03/1.11 [165]P3(x1651,x1652)+P6(f28(x1651,x1652),x1651)
% 1.03/1.11 [166]~P6(x1661,x1662)+~P6(x1661,f9(x1662))
% 1.03/1.11 [168]~P6(x1681,f36(x1682))+P1(f37(x1681,x1682))
% 1.03/1.11 [169]~P6(x1691,f36(x1692))+P1(f42(x1691,x1692))
% 1.03/1.11 [170]~P6(x1701,f53(x1702))+P1(f43(x1701,x1702))
% 1.03/1.11 [171]~P6(x1711,f53(x1712))+P1(f44(x1711,x1712))
% 1.03/1.11 [172]~P6(x1721,f54(x1722))+P1(f45(x1721,x1722))
% 1.03/1.11 [173]~P6(x1731,f54(x1732))+P1(f18(x1731,x1732))
% 1.03/1.11 [174]~P6(x1741,f54(x1742))+P1(f19(x1741,x1742))
% 1.03/1.11 [175]~P6(x1751,f47(x1752))+P1(f20(x1751,x1752))
% 1.03/1.11 [176]~P6(x1761,f47(x1762))+P1(f21(x1761,x1762))
% 1.03/1.11 [177]~P6(x1771,f47(x1772))+P1(f22(x1771,x1772))
% 1.03/1.11 [178]~P6(x1781,f11(x1782))+P11(f46(x1781,x1782))
% 1.03/1.11 [179]~P6(x1791,f55(x1792))+P11(f32(x1791,x1792))
% 1.03/1.11 [189]~P6(x1891,f36(x1892))+P6(x1891,f37(x1891,x1892))
% 1.03/1.11 [190]~P6(x1901,f53(x1902))+P6(x1901,f44(x1901,x1902))
% 1.03/1.11 [191]~P6(x1911,f51(x1912))+P6(x1911,f23(x1911,x1912))
% 1.03/1.11 [192]~P6(x1921,f11(x1922))+P6(f46(x1921,x1922),x1922)
% 1.03/1.11 [193]~P6(x1931,f51(x1932))+P6(f23(x1931,x1932),x1932)
% 1.03/1.11 [194]~P6(x1941,f55(x1942))+P6(f32(x1941,x1942),x1942)
% 1.03/1.11 [197]P8(x1971,x1972)+~P6(f17(x1971,x1972),x1972)
% 1.03/1.11 [205]~P4(x2052,x2051)+P7(x2051,f12(x2052,x2052),x2052)
% 1.03/1.11 [180]~P6(x1801,f11(x1802))+E(f36(f46(x1801,x1802)),x1801)
% 1.03/1.11 [181]~P6(x1811,f55(x1812))+E(f53(f32(x1811,x1812)),x1811)
% 1.03/1.11 [228]~P6(x2281,f8(x2282))+P6(f49(f49(f53(x2281),f53(x2281)),f49(f53(x2281),f36(x2281))),x2282)
% 1.03/1.11 [231]~P6(x2311,f36(x2312))+E(f49(f49(f37(x2311,x2312),f37(x2311,x2312)),f49(f37(x2311,x2312),f42(x2311,x2312))),x2312)
% 1.03/1.11 [232]~P6(x2321,f53(x2322))+E(f49(f49(f43(x2321,x2322),f43(x2321,x2322)),f49(f43(x2321,x2322),f44(x2321,x2322))),x2322)
% 1.03/1.11 [238]~P6(x2381,f54(x2382))+E(f49(f49(f45(x2381,x2382),f45(x2381,x2382)),f49(f45(x2381,x2382),f49(f49(f18(x2381,x2382),f18(x2381,x2382)),f49(f18(x2381,x2382),f19(x2381,x2382))))),x2381)
% 1.03/1.11 [239]~P6(x2391,f47(x2392))+E(f49(f49(f20(x2391,x2392),f20(x2391,x2392)),f49(f20(x2391,x2392),f49(f49(f21(x2391,x2392),f21(x2391,x2392)),f49(f21(x2391,x2392),f22(x2391,x2392))))),x2391)
% 1.03/1.11 [247]~P6(x2471,f54(x2472))+P6(f49(f49(f18(x2471,x2472),f18(x2471,x2472)),f49(f18(x2471,x2472),f49(f49(f19(x2471,x2472),f19(x2471,x2472)),f49(f19(x2471,x2472),f45(x2471,x2472))))),x2472)
% 1.03/1.11 [248]~P6(x2481,f47(x2482))+P6(f49(f49(f20(x2481,x2482),f20(x2481,x2482)),f49(f20(x2481,x2482),f49(f49(f22(x2481,x2482),f22(x2481,x2482)),f49(f22(x2481,x2482),f21(x2481,x2482))))),x2482)
% 1.03/1.11 [202]P2(x2021)+~P7(x2021,x2022,x2023)
% 1.03/1.11 [185]P11(x1851)+~P6(x1851,f12(x1852,x1853))
% 1.03/1.11 [195]P6(x1951,x1952)+~P6(x1951,f50(x1953,x1952))
% 1.03/1.11 [196]P6(x1961,x1962)+~P6(x1961,f50(x1962,x1963))
% 1.03/1.11 [199]P6(f36(x1991),x1992)+~P6(x1991,f12(x1992,x1993))
% 1.03/1.11 [200]P6(f53(x2001),x2002)+~P6(x2001,f12(x2003,x2002))
% 1.03/1.11 [203]~P7(x2031,x2032,x2033)+E(f11(x2031),x2032)
% 1.03/1.11 [206]~P7(x2061,x2063,x2062)+P8(f55(x2061),x2062)
% 1.03/1.11 [216]~P6(x2161,f10(x2162,x2163))+P1(f33(x2161,x2162,x2163))
% 1.03/1.11 [217]~P6(x2171,f10(x2172,x2173))+P1(f38(x2171,x2172,x2173))
% 1.03/1.11 [218]~P6(x2181,f10(x2182,x2183))+P1(f39(x2181,x2182,x2183))
% 1.03/1.11 [219]~P6(x2191,f48(x2192,x2193))+P11(f29(x2191,x2192,x2193))
% 1.03/1.11 [220]~P6(x2201,f6(x2202,x2203))+P11(f34(x2201,x2202,x2203))
% 1.03/1.11 [224]~P6(x2241,f48(x2242,x2243))+P6(f29(x2241,x2242,x2243),x2243)
% 1.03/1.11 [225]~P6(x2251,f6(x2252,x2253))+P6(f34(x2251,x2252,x2253),x2252)
% 1.03/1.11 [221]~P6(x2211,f6(x2212,x2213))+E(f36(f34(x2211,x2212,x2213)),x2213)
% 1.03/1.11 [222]~P6(x2221,f48(x2222,x2223))+E(f53(f29(x2221,x2222,x2223)),x2221)
% 1.03/1.11 [229]~P6(x2291,f6(x2292,x2293))+P6(x2291,f53(f34(x2291,x2292,x2293)))
% 1.03/1.11 [230]~P6(x2301,f48(x2302,x2303))+P6(f36(f29(x2301,x2302,x2303)),x2302)
% 1.03/1.11 [237]~P6(x2371,f10(x2372,x2373))+E(f49(f49(f33(x2371,x2372,x2373),f33(x2371,x2372,x2373)),f49(f33(x2371,x2372,x2373),f38(x2371,x2372,x2373))),x2371)
% 1.03/1.11 [244]~P6(x2441,f10(x2442,x2443))+P6(f49(f49(f33(x2441,x2442,x2443),f33(x2441,x2442,x2443)),f49(f33(x2441,x2442,x2443),f39(x2441,x2442,x2443))),x2442)
% 1.03/1.11 [245]~P6(x2451,f10(x2452,x2453))+P6(f49(f49(f39(x2451,x2452,x2453),f39(x2451,x2452,x2453)),f49(f39(x2451,x2452,x2453),f38(x2451,x2452,x2453))),x2453)
% 1.03/1.11 [242]P4(x2421,x2422)+~P5(x2423,x2424,x2425,x2421,x2422)
% 1.03/1.11 [243]P4(x2431,x2432)+~P5(x2433,x2431,x2432,x2434,x2435)
% 1.03/1.11 [246]P7(x2461,x2462,x2463)+~P5(x2461,x2462,x2464,x2463,x2465)
% 1.03/1.11 [135]~P9(x1351)+~P13(x1351)+P2(x1351)
% 1.03/1.11 [147]~P2(x1471)+P10(x1471)+~P2(f8(x1471))
% 1.03/1.11 [149]~P1(x1491)+P6(f31(x1491),x1491)+E(x1491,a3)
% 1.03/1.11 [223]~P1(x2231)+E(x2231,a3)+P6(f49(f49(x2231,x2231),f49(x2231,f31(x2231))),a2)
% 1.03/1.11 [151]~P6(x1511,x1512)+P11(x1511)+~P9(x1512)
% 1.03/1.11 [154]P12(x1541,x1542)+~P8(x1541,x1542)+E(x1541,x1542)
% 1.03/1.11 [156]~P1(x1561)+P6(x1561,x1562)+P6(x1561,f9(x1562))
% 1.03/1.11 [157]~P1(x1571)+~P2(x1572)+P1(f48(x1571,x1572))
% 1.03/1.11 [160]~P1(x1601)+~P8(x1601,x1602)+P6(x1601,f52(x1602))
% 1.03/1.11 [198]E(x1981,x1982)+P6(f16(x1981,x1982),x1982)+P6(f16(x1981,x1982),x1981)
% 1.03/1.11 [212]E(x2121,x2122)+~P6(f16(x2121,x2122),x2122)+~P6(f16(x2121,x2122),x2121)
% 1.03/1.11 [167]~P8(x1673,x1672)+P6(x1671,x1672)+~P6(x1671,x1673)
% 1.03/1.11 [187]~P3(x1873,x1872)+~P6(x1871,x1872)+~P6(x1871,x1873)
% 1.03/1.11 [161]~E(x1611,x1613)+~P1(x1611)+P6(x1611,f49(x1612,x1613))
% 1.03/1.11 [162]~E(x1621,x1622)+~P1(x1621)+P6(x1621,f49(x1622,x1623))
% 1.03/1.11 [182]~P6(x1821,x1823)+~P6(x1823,x1822)+P6(x1821,f51(x1822))
% 1.03/1.11 [186]E(x1861,x1862)+E(x1861,x1863)+~P6(x1861,f49(x1863,x1862))
% 1.03/1.11 [201]~P6(x2011,x2013)+~P6(x2011,x2012)+P6(x2011,f50(x2012,x2013))
% 1.03/1.11 [155]~P1(x1551)+~P11(x1551)+~E(f36(x1551),f53(x1551))+P6(x1551,a35)
% 1.03/1.11 [188]~P1(x1881)+~P11(x1881)+~P6(f36(x1881),f53(x1881))+P6(x1881,a15)
% 1.03/1.11 [213]~P1(x2132)+~P1(x2131)+P4(x2131,x2132)+~P7(x2132,f12(x2131,x2131),x2131)
% 1.03/1.11 [234]~P1(x2341)+~P11(x2341)+P6(x2341,f8(x2342))+~P6(f49(f49(f53(x2341),f53(x2341)),f49(f53(x2341),f36(x2341))),x2342)
% 1.03/1.11 [204]~P2(x2041)+P7(x2041,x2042,x2043)+~E(f11(x2041),x2042)+~P8(f55(x2041),x2043)
% 1.03/1.11 [211]~P1(x2113)+~P1(x2112)+P11(x2111)+~E(x2111,f49(f49(x2112,x2112),f49(x2112,x2113)))
% 1.03/1.11 [249]~P6(x2493,x2496)+~P5(x2491,x2496,x2492,x2497,x2495)+~P6(x2494,x2496)+E(f6(x2491,f6(x2492,f49(f49(x2493,x2493),f49(x2493,x2494)))),f6(x2495,f49(f49(f6(x2491,x2493),f6(x2491,x2493)),f49(f6(x2491,x2493),f6(x2491,x2494)))))
% 1.03/1.11 [183]~P1(x1831)+~P11(x1833)+~P6(x1833,x1832)+P6(x1831,f11(x1832))+~E(x1831,f36(x1833))
% 1.03/1.11 [184]~P1(x1841)+~P11(x1843)+~P6(x1843,x1842)+P6(x1841,f55(x1842))+~E(x1841,f53(x1843))
% 1.03/1.11 [209]~P1(x2091)+~P11(x2091)+~P6(f36(x2091),x2092)+~P6(f53(x2091),x2093)+P6(x2091,f12(x2092,x2093))
% 1.03/1.11 [207]~P11(x2074)+~P6(x2074,x2072)+~P6(x2071,f53(x2074))+P6(x2071,f6(x2072,x2073))+~E(f36(x2074),x2073)
% 1.03/1.11 [214]~P1(x2144)+~P1(x2143)+~P6(x2141,x2143)+P6(x2141,f36(x2142))+~E(x2142,f49(f49(x2143,x2143),f49(x2143,x2144)))
% 1.03/1.11 [215]~P1(x2154)+~P1(x2153)+~P6(x2151,x2154)+P6(x2151,f53(x2152))+~E(x2152,f49(f49(x2153,x2153),f49(x2153,x2154)))
% 1.03/1.11 [250]~P4(x2504,x2505)+~P4(x2502,x2503)+~P7(x2501,x2502,x2504)+P5(x2501,x2502,x2503,x2504,x2505)+P6(f40(x2501,x2502,x2503,x2504,x2505),x2502)
% 1.03/1.11 [251]~P4(x2514,x2515)+~P4(x2512,x2513)+~P7(x2511,x2512,x2514)+P5(x2511,x2512,x2513,x2514,x2515)+P6(f41(x2511,x2512,x2513,x2514,x2515),x2512)
% 1.03/1.11 [252]~P4(x2524,x2525)+~P4(x2522,x2523)+~P7(x2521,x2522,x2524)+P5(x2521,x2522,x2523,x2524,x2525)+~E(f6(x2521,f6(x2523,f49(f49(f40(x2521,x2522,x2523,x2524,x2525),f40(x2521,x2522,x2523,x2524,x2525)),f49(f40(x2521,x2522,x2523,x2524,x2525),f41(x2521,x2522,x2523,x2524,x2525))))),f6(x2525,f49(f49(f6(x2521,f40(x2521,x2522,x2523,x2524,x2525)),f6(x2521,f40(x2521,x2522,x2523,x2524,x2525))),f49(f6(x2521,f40(x2521,x2522,x2523,x2524,x2525)),f6(x2521,f41(x2521,x2522,x2523,x2524,x2525))))))
% 1.03/1.11 [208]~P1(x2081)+~P11(x2084)+~P6(x2084,x2083)+~P6(f36(x2084),x2082)+P6(x2081,f48(x2082,x2083))+~E(f53(x2084),x2081)
% 1.03/1.11 [235]~P1(x2352)+~P1(x2351)+E(x2351,x2352)+~P1(x2353)+~P13(x2354)+~P6(f49(f49(x2353,x2353),f49(x2353,x2352)),x2354)+~P6(f49(f49(x2353,x2353),f49(x2353,x2351)),x2354)
% 1.03/1.11 [240]~P1(x2405)+~P1(x2404)+~P1(x2403)+~P1(x2401)+P6(x2401,f54(x2402))+~P6(f49(f49(x2404,x2404),f49(x2404,f49(f49(x2405,x2405),f49(x2405,x2403)))),x2402)+~E(x2401,f49(f49(x2403,x2403),f49(x2403,f49(f49(x2404,x2404),f49(x2404,x2405)))))
% 1.03/1.11 [241]~P1(x2415)+~P1(x2414)+~P1(x2413)+~P1(x2411)+P6(x2411,f47(x2412))+~P6(f49(f49(x2413,x2413),f49(x2413,f49(f49(x2415,x2415),f49(x2415,x2414)))),x2412)+~E(x2411,f49(f49(x2413,x2413),f49(x2413,f49(f49(x2414,x2414),f49(x2414,x2415)))))
% 1.03/1.11 [236]~P1(x2365)+~P1(x2364)+~P1(x2361)+~P1(x2366)+P6(x2361,f10(x2362,x2363))+~P6(f49(f49(x2366,x2366),f49(x2366,x2365)),x2363)+~P6(f49(f49(x2364,x2364),f49(x2364,x2366)),x2362)+~E(x2361,f49(f49(x2364,x2364),f49(x2364,x2365)))
% 1.03/1.11 %EqnAxiom
% 1.03/1.11 [1]E(x11,x11)
% 1.03/1.11 [2]E(x22,x21)+~E(x21,x22)
% 1.03/1.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.03/1.11 [4]~E(x41,x42)+E(f49(x41,x43),f49(x42,x43))
% 1.03/1.11 [5]~E(x51,x52)+E(f49(x53,x51),f49(x53,x52))
% 1.03/1.11 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 1.03/1.11 [7]~E(x71,x72)+E(f24(x71),f24(x72))
% 1.03/1.11 [8]~E(x81,x82)+E(f26(x81),f26(x82))
% 1.03/1.11 [9]~E(x91,x92)+E(f18(x91,x93),f18(x92,x93))
% 1.03/1.11 [10]~E(x101,x102)+E(f18(x103,x101),f18(x103,x102))
% 1.03/1.11 [11]~E(x111,x112)+E(f21(x111,x113),f21(x112,x113))
% 1.03/1.11 [12]~E(x121,x122)+E(f21(x123,x121),f21(x123,x122))
% 1.03/1.11 [13]~E(x131,x132)+E(f25(x131),f25(x132))
% 1.03/1.11 [14]~E(x141,x142)+E(f30(x141),f30(x142))
% 1.03/1.11 [15]~E(x151,x152)+E(f51(x151),f51(x152))
% 1.03/1.11 [16]~E(x161,x162)+E(f52(x161),f52(x162))
% 1.03/1.11 [17]~E(x171,x172)+E(f8(x171),f8(x172))
% 1.03/1.11 [18]~E(x181,x182)+E(f14(x181),f14(x182))
% 1.03/1.11 [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 1.03/1.11 [20]~E(x201,x202)+E(f22(x201,x203),f22(x202,x203))
% 1.03/1.11 [21]~E(x211,x212)+E(f22(x213,x211),f22(x213,x212))
% 1.03/1.11 [22]~E(x221,x222)+E(f10(x221,x223),f10(x222,x223))
% 1.03/1.11 [23]~E(x231,x232)+E(f10(x233,x231),f10(x233,x232))
% 1.03/1.11 [24]~E(x241,x242)+E(f39(x241,x243,x244),f39(x242,x243,x244))
% 1.03/1.11 [25]~E(x251,x252)+E(f39(x253,x251,x254),f39(x253,x252,x254))
% 1.03/1.11 [26]~E(x261,x262)+E(f39(x263,x264,x261),f39(x263,x264,x262))
% 1.03/1.11 [27]~E(x271,x272)+E(f36(x271),f36(x272))
% 1.03/1.11 [28]~E(x281,x282)+E(f53(x281),f53(x282))
% 1.03/1.11 [29]~E(x291,x292)+E(f31(x291),f31(x292))
% 1.03/1.11 [30]~E(x301,x302)+E(f16(x301,x303),f16(x302,x303))
% 1.03/1.11 [31]~E(x311,x312)+E(f16(x313,x311),f16(x313,x312))
% 1.03/1.11 [32]~E(x321,x322)+E(f9(x321),f9(x322))
% 1.03/1.11 [33]~E(x331,x332)+E(f48(x331,x333),f48(x332,x333))
% 1.03/1.11 [34]~E(x341,x342)+E(f48(x343,x341),f48(x343,x342))
% 1.03/1.11 [35]~E(x351,x352)+E(f29(x351,x353,x354),f29(x352,x353,x354))
% 1.03/1.11 [36]~E(x361,x362)+E(f29(x363,x361,x364),f29(x363,x362,x364))
% 1.03/1.11 [37]~E(x371,x372)+E(f29(x373,x374,x371),f29(x373,x374,x372))
% 1.03/1.11 [38]~E(x381,x382)+E(f6(x381,x383),f6(x382,x383))
% 1.03/1.11 [39]~E(x391,x392)+E(f6(x393,x391),f6(x393,x392))
% 1.03/1.11 [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 1.03/1.11 [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 1.03/1.11 [42]~E(x421,x422)+E(f34(x421,x423,x424),f34(x422,x423,x424))
% 1.03/1.11 [43]~E(x431,x432)+E(f34(x433,x431,x434),f34(x433,x432,x434))
% 1.03/1.11 [44]~E(x441,x442)+E(f34(x443,x444,x441),f34(x443,x444,x442))
% 1.03/1.11 [45]~E(x451,x452)+E(f54(x451),f54(x452))
% 1.03/1.11 [46]~E(x461,x462)+E(f20(x461,x463),f20(x462,x463))
% 1.03/1.11 [47]~E(x471,x472)+E(f20(x473,x471),f20(x473,x472))
% 1.03/1.11 [48]~E(x481,x482)+E(f40(x481,x483,x484,x485,x486),f40(x482,x483,x484,x485,x486))
% 1.03/1.11 [49]~E(x491,x492)+E(f40(x493,x491,x494,x495,x496),f40(x493,x492,x494,x495,x496))
% 1.03/1.11 [50]~E(x501,x502)+E(f40(x503,x504,x501,x505,x506),f40(x503,x504,x502,x505,x506))
% 1.03/1.11 [51]~E(x511,x512)+E(f40(x513,x514,x515,x511,x516),f40(x513,x514,x515,x512,x516))
% 1.03/1.11 [52]~E(x521,x522)+E(f40(x523,x524,x525,x526,x521),f40(x523,x524,x525,x526,x522))
% 1.03/1.11 [53]~E(x531,x532)+E(f19(x531,x533),f19(x532,x533))
% 1.03/1.11 [54]~E(x541,x542)+E(f19(x543,x541),f19(x543,x542))
% 1.03/1.11 [55]~E(x551,x552)+E(f41(x551,x553,x554,x555,x556),f41(x552,x553,x554,x555,x556))
% 1.03/1.11 [56]~E(x561,x562)+E(f41(x563,x561,x564,x565,x566),f41(x563,x562,x564,x565,x566))
% 1.03/1.11 [57]~E(x571,x572)+E(f41(x573,x574,x571,x575,x576),f41(x573,x574,x572,x575,x576))
% 1.03/1.11 [58]~E(x581,x582)+E(f41(x583,x584,x585,x581,x586),f41(x583,x584,x585,x582,x586))
% 1.03/1.11 [59]~E(x591,x592)+E(f41(x593,x594,x595,x596,x591),f41(x593,x594,x595,x596,x592))
% 1.03/1.11 [60]~E(x601,x602)+E(f17(x601,x603),f17(x602,x603))
% 1.03/1.11 [61]~E(x611,x612)+E(f17(x613,x611),f17(x613,x612))
% 1.03/1.11 [62]~E(x621,x622)+E(f28(x621,x623),f28(x622,x623))
% 1.03/1.11 [63]~E(x631,x632)+E(f28(x633,x631),f28(x633,x632))
% 1.03/1.11 [64]~E(x641,x642)+E(f11(x641),f11(x642))
% 1.03/1.11 [65]~E(x651,x652)+E(f42(x651,x653),f42(x652,x653))
% 1.03/1.11 [66]~E(x661,x662)+E(f42(x663,x661),f42(x663,x662))
% 1.03/1.11 [67]~E(x671,x672)+E(f12(x671,x673),f12(x672,x673))
% 1.03/1.11 [68]~E(x681,x682)+E(f12(x683,x681),f12(x683,x682))
% 1.03/1.11 [69]~E(x691,x692)+E(f45(x691,x693),f45(x692,x693))
% 1.03/1.11 [70]~E(x701,x702)+E(f45(x703,x701),f45(x703,x702))
% 1.03/1.11 [71]~E(x711,x712)+E(f50(x711,x713),f50(x712,x713))
% 1.03/1.11 [72]~E(x721,x722)+E(f50(x723,x721),f50(x723,x722))
% 1.03/1.11 [73]~E(x731,x732)+E(f44(x731,x733),f44(x732,x733))
% 1.03/1.11 [74]~E(x741,x742)+E(f44(x743,x741),f44(x743,x742))
% 1.03/1.11 [75]~E(x751,x752)+E(f43(x751,x753),f43(x752,x753))
% 1.03/1.11 [76]~E(x761,x762)+E(f43(x763,x761),f43(x763,x762))
% 1.03/1.11 [77]~E(x771,x772)+E(f23(x771,x773),f23(x772,x773))
% 1.03/1.11 [78]~E(x781,x782)+E(f23(x783,x781),f23(x783,x782))
% 1.03/1.12 [79]~E(x791,x792)+E(f47(x791),f47(x792))
% 1.03/1.12 [80]~E(x801,x802)+E(f38(x801,x803,x804),f38(x802,x803,x804))
% 1.03/1.12 [81]~E(x811,x812)+E(f38(x813,x811,x814),f38(x813,x812,x814))
% 1.03/1.12 [82]~E(x821,x822)+E(f38(x823,x824,x821),f38(x823,x824,x822))
% 1.03/1.12 [83]~E(x831,x832)+E(f46(x831,x833),f46(x832,x833))
% 1.03/1.12 [84]~E(x841,x842)+E(f46(x843,x841),f46(x843,x842))
% 1.03/1.12 [85]~E(x851,x852)+E(f33(x851,x853,x854),f33(x852,x853,x854))
% 1.03/1.12 [86]~E(x861,x862)+E(f33(x863,x861,x864),f33(x863,x862,x864))
% 1.03/1.12 [87]~E(x871,x872)+E(f33(x873,x874,x871),f33(x873,x874,x872))
% 1.03/1.12 [88]~E(x881,x882)+E(f55(x881),f55(x882))
% 1.03/1.12 [89]~E(x891,x892)+E(f32(x891,x893),f32(x892,x893))
% 1.03/1.12 [90]~E(x901,x902)+E(f32(x903,x901),f32(x903,x902))
% 1.03/1.12 [91]~P1(x911)+P1(x912)+~E(x911,x912)
% 1.03/1.12 [92]~P2(x921)+P2(x922)+~E(x921,x922)
% 1.03/1.12 [93]P6(x932,x933)+~E(x931,x932)+~P6(x931,x933)
% 1.03/1.12 [94]P6(x943,x942)+~E(x941,x942)+~P6(x943,x941)
% 1.03/1.12 [95]P8(x952,x953)+~E(x951,x952)+~P8(x951,x953)
% 1.03/1.12 [96]P8(x963,x962)+~E(x961,x962)+~P8(x963,x961)
% 1.03/1.12 [97]P7(x972,x973,x974)+~E(x971,x972)+~P7(x971,x973,x974)
% 1.03/1.12 [98]P7(x983,x982,x984)+~E(x981,x982)+~P7(x983,x981,x984)
% 1.03/1.12 [99]P7(x993,x994,x992)+~E(x991,x992)+~P7(x993,x994,x991)
% 1.03/1.12 [100]P4(x1002,x1003)+~E(x1001,x1002)+~P4(x1001,x1003)
% 1.03/1.12 [101]P4(x1013,x1012)+~E(x1011,x1012)+~P4(x1013,x1011)
% 1.03/1.12 [102]P3(x1022,x1023)+~E(x1021,x1022)+~P3(x1021,x1023)
% 1.03/1.12 [103]P3(x1033,x1032)+~E(x1031,x1032)+~P3(x1033,x1031)
% 1.03/1.12 [104]~P13(x1041)+P13(x1042)+~E(x1041,x1042)
% 1.03/1.12 [105]~P9(x1051)+P9(x1052)+~E(x1051,x1052)
% 1.03/1.12 [106]~P11(x1061)+P11(x1062)+~E(x1061,x1062)
% 1.03/1.12 [107]P5(x1072,x1073,x1074,x1075,x1076)+~E(x1071,x1072)+~P5(x1071,x1073,x1074,x1075,x1076)
% 1.03/1.12 [108]P5(x1083,x1082,x1084,x1085,x1086)+~E(x1081,x1082)+~P5(x1083,x1081,x1084,x1085,x1086)
% 1.03/1.12 [109]P5(x1093,x1094,x1092,x1095,x1096)+~E(x1091,x1092)+~P5(x1093,x1094,x1091,x1095,x1096)
% 1.03/1.12 [110]P5(x1103,x1104,x1105,x1102,x1106)+~E(x1101,x1102)+~P5(x1103,x1104,x1105,x1101,x1106)
% 1.03/1.12 [111]P5(x1113,x1114,x1115,x1116,x1112)+~E(x1111,x1112)+~P5(x1113,x1114,x1115,x1116,x1111)
% 1.03/1.12 [112]P12(x1122,x1123)+~E(x1121,x1122)+~P12(x1121,x1123)
% 1.03/1.12 [113]P12(x1133,x1132)+~E(x1131,x1132)+~P12(x1133,x1131)
% 1.03/1.12 [114]~P10(x1141)+P10(x1142)+~E(x1141,x1142)
% 1.03/1.12
% 1.03/1.12 %-------------------------------------------
% 1.03/1.12 cnf(255,plain,
% 1.03/1.12 (~P6(x2551,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(258,plain,
% 1.03/1.12 (~P6(x2581,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(260,plain,
% 1.03/1.12 (~P6(x2601,f12(a3,x2602))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,153,142,200,199])).
% 1.03/1.12 cnf(261,plain,
% 1.03/1.12 (~P6(x2611,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(264,plain,
% 1.03/1.12 (~P6(x2641,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(266,plain,
% 1.03/1.12 (P3(x2661,a3)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,153,142,200,199,165,164])).
% 1.03/1.12 cnf(267,plain,
% 1.03/1.12 (~P6(x2671,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(269,plain,
% 1.03/1.12 (P8(a3,x2691)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,153,142,200,199,165,164,163])).
% 1.03/1.12 cnf(270,plain,
% 1.03/1.12 (~P6(x2701,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(272,plain,
% 1.03/1.12 (~P6(x2721,f55(a3))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,153,142,200,199,165,164,163,194])).
% 1.03/1.12 cnf(273,plain,
% 1.03/1.12 (~P6(x2731,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(276,plain,
% 1.03/1.12 (~P6(x2761,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(279,plain,
% 1.03/1.12 (~P6(x2791,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(282,plain,
% 1.03/1.12 (~P6(x2821,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(286,plain,
% 1.03/1.12 (~P6(x2861,f48(a3,x2862))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,153,142,200,199,165,164,163,194,193,192,227,226,230])).
% 1.03/1.12 cnf(287,plain,
% 1.03/1.12 (~P6(x2871,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(290,plain,
% 1.03/1.12 (~P6(x2901,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(293,plain,
% 1.03/1.12 (~P6(x2931,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(296,plain,
% 1.03/1.12 (~P6(x2961,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(299,plain,
% 1.03/1.12 (~P6(x2991,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(302,plain,
% 1.03/1.12 (~P6(x3021,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(305,plain,
% 1.03/1.12 (~P6(x3051,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(308,plain,
% 1.03/1.12 (~P6(x3081,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(311,plain,
% 1.03/1.12 (~E(a5,a4)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95])).
% 1.03/1.12 cnf(313,plain,
% 1.03/1.12 (~P6(x3131,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(314,plain,
% 1.03/1.12 (~P8(a1,a3)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167])).
% 1.03/1.12 cnf(315,plain,
% 1.03/1.12 (~P6(x3151,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(321,plain,
% 1.03/1.12 (E(a3,f12(a3,x3211))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198])).
% 1.03/1.12 cnf(322,plain,
% 1.03/1.12 (~P6(x3221,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(331,plain,
% 1.03/1.12 (P9(a2)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123])).
% 1.03/1.12 cnf(339,plain,
% 1.03/1.12 (~P6(a4,f52(a7))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158])).
% 1.03/1.12 cnf(341,plain,
% 1.03/1.12 (E(f55(a3),a3)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138])).
% 1.03/1.12 cnf(349,plain,
% 1.03/1.12 (E(f55(a3),f55(f12(a3,x3491)))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88])).
% 1.03/1.12 cnf(369,plain,
% 1.03/1.12 (E(f12(x3691,a3),f12(x3691,f12(a3,x3692)))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68])).
% 1.03/1.12 cnf(370,plain,
% 1.03/1.12 (E(f12(a3,x3701),f12(f12(a3,x3702),x3701))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67])).
% 1.03/1.12 cnf(380,plain,
% 1.03/1.12 (E(f41(x3801,x3802,a3,x3803,x3804),f41(x3801,x3802,f12(a3,x3805),x3803,x3804))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57])).
% 1.03/1.12 cnf(381,plain,
% 1.03/1.12 (E(f41(x3811,a3,x3812,x3813,x3814),f41(x3811,f12(a3,x3815),x3812,x3813,x3814))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56])).
% 1.03/1.12 cnf(405,plain,
% 1.03/1.12 (E(f9(a3),f9(f12(a3,x4051)))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32])).
% 1.03/1.12 cnf(434,plain,
% 1.03/1.12 (~P6(f17(a4,a7),a7)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197])).
% 1.03/1.12 cnf(445,plain,
% 1.03/1.12 (P1(f12(a3,x4451))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91])).
% 1.03/1.12 cnf(446,plain,
% 1.03/1.12 (~E(a1,f55(a3))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3])).
% 1.03/1.12 cnf(447,plain,
% 1.03/1.12 (P6(a3,f51(a56))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3,182])).
% 1.03/1.12 cnf(449,plain,
% 1.03/1.12 (P6(f49(x4491,a3),f49(f49(x4491,f12(a3,x4492)),x4493))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,120,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3,182,162])).
% 1.03/1.12 cnf(451,plain,
% 1.03/1.12 (P6(f49(x4511,a3),f49(x4512,f49(x4511,f12(a3,x4513))))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,120,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3,182,162,161])).
% 1.03/1.12 cnf(465,plain,
% 1.03/1.12 (P6(f49(f49(a1,a1),f49(a1,f31(a1))),a2)),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,120,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3,182,162,161,160,156,201,186,157,149,223])).
% 1.03/1.12 cnf(467,plain,
% 1.03/1.12 (~P12(a3,f12(a3,x4671))),
% 1.03/1.12 inference(scs_inference,[],[121,122,255,258,261,264,267,270,273,276,279,282,287,290,293,296,299,302,305,308,313,315,322,115,116,117,118,119,120,153,142,200,199,165,164,163,194,193,192,227,226,230,228,225,224,245,244,248,247,96,95,94,167,154,135,198,2,145,136,124,123,196,195,166,158,138,133,132,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,197,150,233,113,105,104,93,92,91,3,182,162,161,160,156,201,186,157,149,223,143])).
% 1.03/1.12 cnf(500,plain,
% 1.03/1.12 (P3(x5001,f12(a3,x5002))),
% 1.03/1.12 inference(scs_inference,[],[266,321,447,191,103])).
% 1.03/1.12 cnf(503,plain,
% 1.03/1.12 (P6(f17(a4,a7),a5)),
% 1.03/1.12 inference(scs_inference,[],[121,118,266,321,447,191,103,163,167])).
% 1.03/1.12 cnf(505,plain,
% 1.03/1.12 (P11(f49(f49(a1,a1),f49(a1,f31(a1))))),
% 1.03/1.12 inference(scs_inference,[],[121,118,266,465,321,447,331,191,103,163,167,151])).
% 1.03/1.12 cnf(507,plain,
% 1.03/1.12 (P6(f49(x5071,a3),f51(f49(x5072,f49(f49(x5071,f12(a3,x5073)),f12(a3,x5074)))))),
% 1.03/1.12 inference(scs_inference,[],[121,118,449,451,266,465,321,447,331,191,103,163,167,151,182])).
% 1.03/1.12 cnf(512,plain,
% 1.03/1.12 (E(f12(x5121,a3),f12(x5121,f12(a3,x5122)))),
% 1.03/1.12 inference(rename_variables,[],[369])).
% 1.03/1.12 cnf(513,plain,
% 1.03/1.12 (P1(f12(a3,x5131))),
% 1.03/1.12 inference(rename_variables,[],[445])).
% 1.03/1.12 cnf(519,plain,
% 1.03/1.12 (P6(f49(x5191,x5192),f9(a3))),
% 1.03/1.12 inference(scs_inference,[],[121,122,118,120,449,451,369,512,445,513,266,465,321,447,331,191,103,163,167,151,182,162,161,156])).
% 1.03/1.12 cnf(529,plain,
% 1.03/1.12 (~E(a3,a1)),
% 1.03/1.12 inference(scs_inference,[],[121,122,118,120,449,451,369,512,445,513,266,269,311,465,321,467,341,447,314,331,191,103,163,167,151,182,162,161,156,186,193,113,96,95])).
% 1.03/1.12 cnf(580,plain,
% 1.03/1.12 (~P6(x5801,f12(a3,x5802))),
% 1.03/1.12 inference(rename_variables,[],[260])).
% 1.03/1.12 cnf(582,plain,
% 1.03/1.12 (~P6(x5821,f51(f12(a3,x5822)))),
% 1.03/1.12 inference(scs_inference,[],[260,580,163,193])).
% 1.03/1.12 cnf(583,plain,
% 1.03/1.12 (~P6(x5831,f12(a3,x5832))),
% 1.03/1.12 inference(rename_variables,[],[260])).
% 1.03/1.12 cnf(588,plain,
% 1.03/1.12 (P6(f12(a3,x5881),f52(x5882))),
% 1.03/1.12 inference(scs_inference,[],[260,580,529,445,269,163,193,154,160])).
% 1.03/1.12 cnf(591,plain,
% 1.03/1.12 (P6(f49(x5911,x5912),f9(a3))),
% 1.03/1.12 inference(rename_variables,[],[519])).
% 1.03/1.12 cnf(592,plain,
% 1.03/1.12 (P1(f49(x5921,x5922))),
% 1.03/1.12 inference(rename_variables,[],[120])).
% 1.03/1.12 cnf(594,plain,
% 1.03/1.12 (~P8(a1,f12(a3,x5941))),
% 1.03/1.12 inference(scs_inference,[],[120,117,260,580,583,505,519,529,445,269,163,193,154,160,234,167])).
% 1.03/1.12 cnf(595,plain,
% 1.03/1.12 (~P6(x5951,f12(a3,x5952))),
% 1.03/1.12 inference(rename_variables,[],[260])).
% 1.03/1.12 cnf(603,plain,
% 1.03/1.12 (~E(f55(a3),a1)),
% 1.03/1.12 inference(scs_inference,[],[120,117,260,580,583,595,505,272,519,446,529,445,269,163,193,154,160,234,167,138,198,2])).
% 1.03/1.12 cnf(604,plain,
% 1.03/1.12 (E(f41(x6041,a3,a3,x6042,x6043),f41(x6041,f12(a3,x6044),f12(a3,x6045),x6042,x6043))),
% 1.03/1.12 inference(scs_inference,[],[120,117,380,381,260,580,583,595,505,272,519,446,529,445,269,163,193,154,160,234,167,138,198,2,3])).
% 1.03/1.12 cnf(607,plain,
% 1.03/1.12 (P8(f12(f12(a3,x6071),x6072),x6073)),
% 1.03/1.12 inference(scs_inference,[],[120,117,380,381,260,580,583,595,505,272,519,446,529,370,445,269,163,193,154,160,234,167,138,198,2,3,95])).
% 1.03/1.12 cnf(608,plain,
% 1.03/1.12 (E(f12(a3,x6081),f12(f12(a3,x6082),x6081))),
% 1.03/1.12 inference(rename_variables,[],[370])).
% 1.03/1.12 cnf(609,plain,
% 1.03/1.12 (P6(f49(x6091,x6092),f9(f12(a3,x6093)))),
% 1.03/1.12 inference(scs_inference,[],[120,117,380,381,260,580,583,595,505,272,519,591,405,446,529,370,445,269,163,193,154,160,234,167,138,198,2,3,95,94])).
% 1.03/1.12 cnf(616,plain,
% 1.03/1.12 (P3(x6161,f12(f12(a3,x6162),x6163))),
% 1.03/1.12 inference(scs_inference,[],[120,592,117,380,381,260,580,583,595,500,505,272,519,591,405,446,529,370,608,445,269,321,163,193,154,160,234,167,138,198,2,3,95,94,93,112,188,143,103])).
% 1.03/1.12 cnf(642,plain,
% 1.03/1.12 (~P6(x6421,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(645,plain,
% 1.03/1.12 (~P6(x6451,a3)),
% 1.03/1.12 inference(rename_variables,[],[122])).
% 1.03/1.12 cnf(653,plain,
% 1.03/1.12 (~E(f9(f12(a3,x6531)),a3)),
% 1.03/1.12 inference(scs_inference,[],[122,642,645,117,607,616,582,609,604,588,507,594,339,603,349,187,193,163,143,198,167,2,3,95,93,94])).
% 1.03/1.12 cnf(682,plain,
% 1.03/1.12 (~P6(x6821,f48(a3,x6822))),
% 1.03/1.12 inference(rename_variables,[],[286])).
% 1.03/1.12 cnf(685,plain,
% 1.03/1.12 (~P6(x6851,f48(a3,x6852))),
% 1.03/1.12 inference(rename_variables,[],[286])).
% 1.03/1.12 cnf(693,plain,
% 1.03/1.12 ($false),
% 1.03/1.12 inference(scs_inference,[],[119,122,286,682,685,503,653,434,193,163,198,138,167]),
% 1.03/1.12 ['proof']).
% 1.03/1.12 % SZS output end Proof
% 1.03/1.12 % Total time :0.440000s
%------------------------------------------------------------------------------