TSTP Solution File: SET025-4 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 14:28:00 EDT 2023
% Result : Unsatisfiable 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sat Aug 26 14:27:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.010000s
% 0.19/0.64 % Output :CNFRefutation 0.010000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 % File : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.65 % Domain : Set Theory
% 0.19/0.65 % Problem : Ordered pairs are little sets
% 0.19/0.65 % Version : [BL+86] axioms.
% 0.19/0.65 % English :
% 0.19/0.65
% 0.19/0.65 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.19/0.65 % Source : [BL+86]
% 0.19/0.65 % Names : Lemma 10 [BL+86]
% 0.19/0.65
% 0.19/0.65 % Status : Unsatisfiable
% 0.19/0.65 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.22 v2.0.0
% 0.19/0.65 % Syntax : Number of clauses : 142 ( 12 unt; 20 nHn; 119 RR)
% 0.19/0.65 % Number of literals : 356 ( 47 equ; 198 neg)
% 0.19/0.65 % Maximal clause size : 8 ( 2 avg)
% 0.19/0.65 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.65 % Number of predicates : 14 ( 13 usr; 0 prp; 1-5 aty)
% 0.19/0.65 % Number of functors : 61 ( 61 usr; 8 con; 0-5 aty)
% 0.19/0.65 % Number of variables : 320 ( 28 sgn)
% 0.19/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.65
% 0.19/0.65 % Comments :
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %----Include Godel's set axioms
% 0.19/0.65 include('Axioms/SET003-0.ax').
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 cnf(prove_ordered_pairs_are_small,negated_conjecture,
% 0.19/0.65 ~ little_set(ordered_pair(a,b)) ).
% 0.19/0.65
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:250(EqnAxiom:114)
% 0.19/0.65 %VarNum:908(SingletonVarNum:309)
% 0.19/0.65 %MaxLitNum:8
% 0.19/0.65 %MaxfuncDepth:5
% 0.19/0.65 %SharedTerms:15
% 0.19/0.65 %goalClause: 120
% 0.19/0.65 %singleGoalClaCount:1
% 0.19/0.65 [115]P1(a1)
% 0.19/0.65 [116]P2(a2)
% 0.19/0.65 [117]P6(a3,a1)
% 0.19/0.65 [120]~P1(f48(f48(a4,a4),f48(a4,a5)))
% 0.19/0.65 [119]~P6(x1191,a3)
% 0.19/0.65 [118]P1(f48(x1181,x1182))
% 0.19/0.65 [121]~P2(x1211)+P8(x1211)
% 0.19/0.65 [122]~P2(x1221)+P12(x1221)
% 0.19/0.65 [123]~P9(x1231)+P2(x1231)
% 0.19/0.65 [134]~P1(x1341)+P6(x1341,a55)
% 0.19/0.65 [138]P10(x1381)+~P6(x1381,a14)
% 0.19/0.65 [139]P10(x1391)+~P6(x1391,a34)
% 0.19/0.65 [124]P12(x1241)+P1(f12(x1241))
% 0.19/0.65 [125]P12(x1251)+P1(f23(x1251))
% 0.19/0.65 [126]P12(x1261)+P1(f25(x1261))
% 0.19/0.65 [127]P12(x1271)+~E(f25(x1271),f23(x1271))
% 0.19/0.65 [128]~P10(x1281)+P1(f24(x1281))
% 0.19/0.65 [129]~P10(x1291)+P1(f29(x1291))
% 0.19/0.65 [130]~P1(x1301)+P1(f50(x1301))
% 0.19/0.65 [131]~P1(x1311)+P1(f51(x1311))
% 0.19/0.65 [132]~P9(x1321)+P2(f7(x1321))
% 0.19/0.65 [135]P8(x1351)+~P10(f13(x1351))
% 0.19/0.65 [136]P6(f26(x1361),x1361)+E(x1361,a3)
% 0.19/0.65 [137]P3(f26(x1371),x1371)+E(x1371,a3)
% 0.19/0.65 [140]P8(x1401)+P6(f13(x1401),x1401)
% 0.19/0.65 [146]~P6(x1461,a34)+E(f35(x1461),f52(x1461))
% 0.19/0.65 [157]~P6(x1571,a14)+P6(f35(x1571),f52(x1571))
% 0.19/0.65 [208]~P10(x2081)+E(f48(f48(f24(x2081),f24(x2081)),f48(f24(x2081),f29(x2081))),x2081)
% 0.19/0.65 [224]P12(x2241)+P6(f48(f48(f12(x2241),f12(x2241)),f48(f12(x2241),f23(x2241))),x2241)
% 0.19/0.65 [225]P12(x2251)+P6(f48(f48(f12(x2251),f12(x2251)),f48(f12(x2251),f25(x2251))),x2251)
% 0.19/0.65 [231]~P6(x2311,a1)+P6(f8(f49(f8(x2311),f8(f48(x2311,x2311)))),a1)
% 0.19/0.65 [141]~P11(x1411,x1412)+~E(x1411,x1412)
% 0.19/0.65 [142]P1(x1421)+~P4(x1422,x1421)
% 0.19/0.65 [143]P1(x1431)+~P6(x1431,x1432)
% 0.19/0.65 [144]P1(x1441)+~P4(x1441,x1442)
% 0.19/0.65 [151]~P11(x1511,x1512)+P13(x1511,x1512)
% 0.19/0.65 [148]E(x1481,x1482)+P1(f15(x1481,x1482))
% 0.19/0.65 [150]P10(x1501)+~P6(x1501,f7(x1502))
% 0.19/0.65 [156]P13(x1561,x1562)+~P6(x1561,f51(x1562))
% 0.19/0.65 [161]P13(x1611,x1612)+P6(f16(x1611,x1612),x1611)
% 0.19/0.65 [162]P3(x1621,x1622)+P6(f27(x1621,x1622),x1622)
% 0.19/0.65 [163]P3(x1631,x1632)+P6(f27(x1631,x1632),x1631)
% 0.19/0.65 [164]~P6(x1641,x1642)+~P6(x1641,f8(x1642))
% 0.19/0.65 [166]~P6(x1661,f35(x1662))+P1(f36(x1661,x1662))
% 0.19/0.65 [167]~P6(x1671,f35(x1672))+P1(f41(x1671,x1672))
% 0.19/0.65 [168]~P6(x1681,f52(x1682))+P1(f42(x1681,x1682))
% 0.19/0.65 [169]~P6(x1691,f52(x1692))+P1(f43(x1691,x1692))
% 0.19/0.65 [170]~P6(x1701,f53(x1702))+P1(f44(x1701,x1702))
% 0.19/0.65 [171]~P6(x1711,f53(x1712))+P1(f17(x1711,x1712))
% 0.19/0.65 [172]~P6(x1721,f53(x1722))+P1(f18(x1721,x1722))
% 0.19/0.65 [173]~P6(x1731,f46(x1732))+P1(f19(x1731,x1732))
% 0.19/0.65 [174]~P6(x1741,f46(x1742))+P1(f20(x1741,x1742))
% 0.19/0.65 [175]~P6(x1751,f46(x1752))+P1(f21(x1751,x1752))
% 0.19/0.65 [176]~P6(x1761,f10(x1762))+P10(f45(x1761,x1762))
% 0.19/0.65 [177]~P6(x1771,f54(x1772))+P10(f31(x1771,x1772))
% 0.19/0.65 [187]~P6(x1871,f35(x1872))+P6(x1871,f36(x1871,x1872))
% 0.19/0.65 [188]~P6(x1881,f52(x1882))+P6(x1881,f43(x1881,x1882))
% 0.19/0.65 [189]~P6(x1891,f50(x1892))+P6(x1891,f22(x1891,x1892))
% 0.19/0.65 [190]~P6(x1901,f10(x1902))+P6(f45(x1901,x1902),x1902)
% 0.19/0.65 [191]~P6(x1911,f50(x1912))+P6(f22(x1911,x1912),x1912)
% 0.19/0.65 [192]~P6(x1921,f54(x1922))+P6(f31(x1921,x1922),x1922)
% 0.19/0.65 [195]P13(x1951,x1952)+~P6(f16(x1951,x1952),x1952)
% 0.19/0.65 [203]~P4(x2032,x2031)+P7(x2031,f11(x2032,x2032),x2032)
% 0.19/0.65 [178]~P6(x1781,f10(x1782))+E(f35(f45(x1781,x1782)),x1781)
% 0.19/0.65 [179]~P6(x1791,f54(x1792))+E(f52(f31(x1791,x1792)),x1791)
% 0.19/0.65 [226]~P6(x2261,f7(x2262))+P6(f48(f48(f52(x2261),f52(x2261)),f48(f52(x2261),f35(x2261))),x2262)
% 0.19/0.65 [229]~P6(x2291,f35(x2292))+E(f48(f48(f36(x2291,x2292),f36(x2291,x2292)),f48(f36(x2291,x2292),f41(x2291,x2292))),x2292)
% 0.19/0.65 [230]~P6(x2301,f52(x2302))+E(f48(f48(f42(x2301,x2302),f42(x2301,x2302)),f48(f42(x2301,x2302),f43(x2301,x2302))),x2302)
% 0.19/0.65 [236]~P6(x2361,f53(x2362))+E(f48(f48(f44(x2361,x2362),f44(x2361,x2362)),f48(f44(x2361,x2362),f48(f48(f17(x2361,x2362),f17(x2361,x2362)),f48(f17(x2361,x2362),f18(x2361,x2362))))),x2361)
% 0.19/0.65 [237]~P6(x2371,f46(x2372))+E(f48(f48(f19(x2371,x2372),f19(x2371,x2372)),f48(f19(x2371,x2372),f48(f48(f20(x2371,x2372),f20(x2371,x2372)),f48(f20(x2371,x2372),f21(x2371,x2372))))),x2371)
% 0.19/0.65 [245]~P6(x2451,f53(x2452))+P6(f48(f48(f17(x2451,x2452),f17(x2451,x2452)),f48(f17(x2451,x2452),f48(f48(f18(x2451,x2452),f18(x2451,x2452)),f48(f18(x2451,x2452),f44(x2451,x2452))))),x2452)
% 0.19/0.65 [246]~P6(x2461,f46(x2462))+P6(f48(f48(f19(x2461,x2462),f19(x2461,x2462)),f48(f19(x2461,x2462),f48(f48(f21(x2461,x2462),f21(x2461,x2462)),f48(f21(x2461,x2462),f20(x2461,x2462))))),x2462)
% 0.19/0.65 [200]P2(x2001)+~P7(x2001,x2002,x2003)
% 0.19/0.65 [183]P10(x1831)+~P6(x1831,f11(x1832,x1833))
% 0.19/0.65 [193]P6(x1931,x1932)+~P6(x1931,f49(x1933,x1932))
% 0.19/0.65 [194]P6(x1941,x1942)+~P6(x1941,f49(x1942,x1943))
% 0.19/0.65 [197]P6(f35(x1971),x1972)+~P6(x1971,f11(x1972,x1973))
% 0.19/0.65 [198]P6(f52(x1981),x1982)+~P6(x1981,f11(x1983,x1982))
% 0.19/0.65 [201]~P7(x2011,x2012,x2013)+E(f10(x2011),x2012)
% 0.19/0.65 [204]~P7(x2041,x2043,x2042)+P13(f54(x2041),x2042)
% 0.19/0.65 [214]~P6(x2141,f9(x2142,x2143))+P1(f32(x2141,x2142,x2143))
% 0.19/0.65 [215]~P6(x2151,f9(x2152,x2153))+P1(f37(x2151,x2152,x2153))
% 0.19/0.65 [216]~P6(x2161,f9(x2162,x2163))+P1(f38(x2161,x2162,x2163))
% 0.19/0.65 [217]~P6(x2171,f47(x2172,x2173))+P10(f28(x2171,x2172,x2173))
% 0.19/0.65 [218]~P6(x2181,f6(x2182,x2183))+P10(f33(x2181,x2182,x2183))
% 0.19/0.65 [222]~P6(x2221,f47(x2222,x2223))+P6(f28(x2221,x2222,x2223),x2223)
% 0.19/0.65 [223]~P6(x2231,f6(x2232,x2233))+P6(f33(x2231,x2232,x2233),x2232)
% 0.19/0.65 [219]~P6(x2191,f6(x2192,x2193))+E(f35(f33(x2191,x2192,x2193)),x2193)
% 0.19/0.65 [220]~P6(x2201,f47(x2202,x2203))+E(f52(f28(x2201,x2202,x2203)),x2201)
% 0.19/0.65 [227]~P6(x2271,f6(x2272,x2273))+P6(x2271,f52(f33(x2271,x2272,x2273)))
% 0.19/0.65 [228]~P6(x2281,f47(x2282,x2283))+P6(f35(f28(x2281,x2282,x2283)),x2282)
% 0.19/0.65 [235]~P6(x2351,f9(x2352,x2353))+E(f48(f48(f32(x2351,x2352,x2353),f32(x2351,x2352,x2353)),f48(f32(x2351,x2352,x2353),f37(x2351,x2352,x2353))),x2351)
% 0.19/0.65 [242]~P6(x2421,f9(x2422,x2423))+P6(f48(f48(f32(x2421,x2422,x2423),f32(x2421,x2422,x2423)),f48(f32(x2421,x2422,x2423),f38(x2421,x2422,x2423))),x2422)
% 0.19/0.65 [243]~P6(x2431,f9(x2432,x2433))+P6(f48(f48(f38(x2431,x2432,x2433),f38(x2431,x2432,x2433)),f48(f38(x2431,x2432,x2433),f37(x2431,x2432,x2433))),x2433)
% 0.19/0.65 [240]P4(x2401,x2402)+~P5(x2403,x2404,x2405,x2401,x2402)
% 0.19/0.65 [241]P4(x2411,x2412)+~P5(x2413,x2411,x2412,x2414,x2415)
% 0.19/0.65 [244]P7(x2441,x2442,x2443)+~P5(x2441,x2442,x2444,x2443,x2445)
% 0.19/0.65 [133]~P8(x1331)+~P12(x1331)+P2(x1331)
% 0.19/0.65 [145]~P2(x1451)+P9(x1451)+~P2(f7(x1451))
% 0.19/0.65 [147]~P1(x1471)+P6(f30(x1471),x1471)+E(x1471,a3)
% 0.19/0.65 [221]~P1(x2211)+E(x2211,a3)+P6(f48(f48(x2211,x2211),f48(x2211,f30(x2211))),a2)
% 0.19/0.65 [149]~P6(x1491,x1492)+P10(x1491)+~P8(x1492)
% 0.19/0.65 [152]P11(x1521,x1522)+~P13(x1521,x1522)+E(x1521,x1522)
% 0.19/0.65 [154]~P1(x1541)+P6(x1541,x1542)+P6(x1541,f8(x1542))
% 0.19/0.65 [155]~P1(x1551)+~P2(x1552)+P1(f47(x1551,x1552))
% 0.19/0.65 [158]~P1(x1581)+~P13(x1581,x1582)+P6(x1581,f51(x1582))
% 0.19/0.65 [196]E(x1961,x1962)+P6(f15(x1961,x1962),x1962)+P6(f15(x1961,x1962),x1961)
% 0.19/0.65 [210]E(x2101,x2102)+~P6(f15(x2101,x2102),x2102)+~P6(f15(x2101,x2102),x2101)
% 0.19/0.65 [165]~P13(x1653,x1652)+P6(x1651,x1652)+~P6(x1651,x1653)
% 0.19/0.65 [185]~P3(x1853,x1852)+~P6(x1851,x1852)+~P6(x1851,x1853)
% 0.19/0.65 [159]~E(x1591,x1593)+~P1(x1591)+P6(x1591,f48(x1592,x1593))
% 0.19/0.65 [160]~E(x1601,x1602)+~P1(x1601)+P6(x1601,f48(x1602,x1603))
% 0.19/0.65 [180]~P6(x1801,x1803)+~P6(x1803,x1802)+P6(x1801,f50(x1802))
% 0.19/0.65 [184]E(x1841,x1842)+E(x1841,x1843)+~P6(x1841,f48(x1843,x1842))
% 0.19/0.65 [199]~P6(x1991,x1993)+~P6(x1991,x1992)+P6(x1991,f49(x1992,x1993))
% 0.19/0.65 [153]~P1(x1531)+~P10(x1531)+~E(f35(x1531),f52(x1531))+P6(x1531,a34)
% 0.19/0.65 [186]~P1(x1861)+~P10(x1861)+~P6(f35(x1861),f52(x1861))+P6(x1861,a14)
% 0.19/0.65 [211]~P1(x2112)+~P1(x2111)+P4(x2111,x2112)+~P7(x2112,f11(x2111,x2111),x2111)
% 0.19/0.65 [232]~P1(x2321)+~P10(x2321)+P6(x2321,f7(x2322))+~P6(f48(f48(f52(x2321),f52(x2321)),f48(f52(x2321),f35(x2321))),x2322)
% 0.19/0.65 [202]~P2(x2021)+P7(x2021,x2022,x2023)+~E(f10(x2021),x2022)+~P13(f54(x2021),x2023)
% 0.19/0.65 [209]~P1(x2093)+~P1(x2092)+P10(x2091)+~E(x2091,f48(f48(x2092,x2092),f48(x2092,x2093)))
% 0.19/0.65 [247]~P6(x2473,x2476)+~P5(x2471,x2476,x2472,x2477,x2475)+~P6(x2474,x2476)+E(f6(x2471,f6(x2472,f48(f48(x2473,x2473),f48(x2473,x2474)))),f6(x2475,f48(f48(f6(x2471,x2473),f6(x2471,x2473)),f48(f6(x2471,x2473),f6(x2471,x2474)))))
% 0.19/0.65 [181]~P1(x1811)+~P10(x1813)+~P6(x1813,x1812)+P6(x1811,f10(x1812))+~E(x1811,f35(x1813))
% 0.19/0.65 [182]~P1(x1821)+~P10(x1823)+~P6(x1823,x1822)+P6(x1821,f54(x1822))+~E(x1821,f52(x1823))
% 0.19/0.65 [207]~P1(x2071)+~P10(x2071)+~P6(f35(x2071),x2072)+~P6(f52(x2071),x2073)+P6(x2071,f11(x2072,x2073))
% 0.19/0.65 [205]~P10(x2054)+~P6(x2054,x2052)+~P6(x2051,f52(x2054))+P6(x2051,f6(x2052,x2053))+~E(f35(x2054),x2053)
% 0.19/0.65 [212]~P1(x2124)+~P1(x2123)+~P6(x2121,x2123)+P6(x2121,f35(x2122))+~E(x2122,f48(f48(x2123,x2123),f48(x2123,x2124)))
% 0.19/0.65 [213]~P1(x2134)+~P1(x2133)+~P6(x2131,x2134)+P6(x2131,f52(x2132))+~E(x2132,f48(f48(x2133,x2133),f48(x2133,x2134)))
% 0.19/0.65 [248]~P4(x2484,x2485)+~P4(x2482,x2483)+~P7(x2481,x2482,x2484)+P5(x2481,x2482,x2483,x2484,x2485)+P6(f39(x2481,x2482,x2483,x2484,x2485),x2482)
% 0.19/0.66 [249]~P4(x2494,x2495)+~P4(x2492,x2493)+~P7(x2491,x2492,x2494)+P5(x2491,x2492,x2493,x2494,x2495)+P6(f40(x2491,x2492,x2493,x2494,x2495),x2492)
% 0.19/0.66 [250]~P4(x2504,x2505)+~P4(x2502,x2503)+~P7(x2501,x2502,x2504)+P5(x2501,x2502,x2503,x2504,x2505)+~E(f6(x2501,f6(x2503,f48(f48(f39(x2501,x2502,x2503,x2504,x2505),f39(x2501,x2502,x2503,x2504,x2505)),f48(f39(x2501,x2502,x2503,x2504,x2505),f40(x2501,x2502,x2503,x2504,x2505))))),f6(x2505,f48(f48(f6(x2501,f39(x2501,x2502,x2503,x2504,x2505)),f6(x2501,f39(x2501,x2502,x2503,x2504,x2505))),f48(f6(x2501,f39(x2501,x2502,x2503,x2504,x2505)),f6(x2501,f40(x2501,x2502,x2503,x2504,x2505))))))
% 0.19/0.66 [206]~P1(x2061)+~P10(x2064)+~P6(x2064,x2063)+~P6(f35(x2064),x2062)+P6(x2061,f47(x2062,x2063))+~E(f52(x2064),x2061)
% 0.19/0.66 [233]~P1(x2332)+~P1(x2331)+E(x2331,x2332)+~P1(x2333)+~P12(x2334)+~P6(f48(f48(x2333,x2333),f48(x2333,x2332)),x2334)+~P6(f48(f48(x2333,x2333),f48(x2333,x2331)),x2334)
% 0.19/0.66 [238]~P1(x2385)+~P1(x2384)+~P1(x2383)+~P1(x2381)+P6(x2381,f53(x2382))+~P6(f48(f48(x2384,x2384),f48(x2384,f48(f48(x2385,x2385),f48(x2385,x2383)))),x2382)+~E(x2381,f48(f48(x2383,x2383),f48(x2383,f48(f48(x2384,x2384),f48(x2384,x2385)))))
% 0.19/0.66 [239]~P1(x2395)+~P1(x2394)+~P1(x2393)+~P1(x2391)+P6(x2391,f46(x2392))+~P6(f48(f48(x2393,x2393),f48(x2393,f48(f48(x2395,x2395),f48(x2395,x2394)))),x2392)+~E(x2391,f48(f48(x2393,x2393),f48(x2393,f48(f48(x2394,x2394),f48(x2394,x2395)))))
% 0.19/0.66 [234]~P1(x2345)+~P1(x2344)+~P1(x2341)+~P1(x2346)+P6(x2341,f9(x2342,x2343))+~P6(f48(f48(x2346,x2346),f48(x2346,x2345)),x2343)+~P6(f48(f48(x2344,x2344),f48(x2344,x2346)),x2342)+~E(x2341,f48(f48(x2344,x2344),f48(x2344,x2345)))
% 0.19/0.66 %EqnAxiom
% 0.19/0.66 [1]E(x11,x11)
% 0.19/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.66 [4]~E(x41,x42)+E(f48(x41,x43),f48(x42,x43))
% 0.19/0.66 [5]~E(x51,x52)+E(f48(x53,x51),f48(x53,x52))
% 0.19/0.66 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.19/0.66 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.19/0.66 [8]~E(x81,x82)+E(f53(x81),f53(x82))
% 0.19/0.66 [9]~E(x91,x92)+E(f40(x91,x93,x94,x95,x96),f40(x92,x93,x94,x95,x96))
% 0.19/0.66 [10]~E(x101,x102)+E(f40(x103,x101,x104,x105,x106),f40(x103,x102,x104,x105,x106))
% 0.19/0.66 [11]~E(x111,x112)+E(f40(x113,x114,x111,x115,x116),f40(x113,x114,x112,x115,x116))
% 0.19/0.66 [12]~E(x121,x122)+E(f40(x123,x124,x125,x121,x126),f40(x123,x124,x125,x122,x126))
% 0.19/0.66 [13]~E(x131,x132)+E(f40(x133,x134,x135,x136,x131),f40(x133,x134,x135,x136,x132))
% 0.19/0.66 [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 0.19/0.66 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.19/0.66 [16]~E(x161,x162)+E(f25(x161),f25(x162))
% 0.19/0.66 [17]~E(x171,x172)+E(f9(x171,x173),f9(x172,x173))
% 0.19/0.66 [18]~E(x181,x182)+E(f9(x183,x181),f9(x183,x182))
% 0.19/0.66 [19]~E(x191,x192)+E(f38(x191,x193,x194),f38(x192,x193,x194))
% 0.19/0.66 [20]~E(x201,x202)+E(f38(x203,x201,x204),f38(x203,x202,x204))
% 0.19/0.66 [21]~E(x211,x212)+E(f38(x213,x214,x211),f38(x213,x214,x212))
% 0.19/0.66 [22]~E(x221,x222)+E(f24(x221),f24(x222))
% 0.19/0.66 [23]~E(x231,x232)+E(f29(x231),f29(x232))
% 0.19/0.66 [24]~E(x241,x242)+E(f50(x241),f50(x242))
% 0.19/0.66 [25]~E(x251,x252)+E(f51(x251),f51(x252))
% 0.19/0.66 [26]~E(x261,x262)+E(f7(x261),f7(x262))
% 0.19/0.66 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.19/0.66 [28]~E(x281,x282)+E(f26(x281),f26(x282))
% 0.19/0.66 [29]~E(x291,x292)+E(f36(x291,x293),f36(x292,x293))
% 0.19/0.66 [30]~E(x301,x302)+E(f36(x303,x301),f36(x303,x302))
% 0.19/0.66 [31]~E(x311,x312)+E(f41(x311,x313),f41(x312,x313))
% 0.19/0.66 [32]~E(x321,x322)+E(f41(x323,x321),f41(x323,x322))
% 0.19/0.66 [33]~E(x331,x332)+E(f42(x331,x333),f42(x332,x333))
% 0.19/0.66 [34]~E(x341,x342)+E(f42(x343,x341),f42(x343,x342))
% 0.19/0.66 [35]~E(x351,x352)+E(f35(x351),f35(x352))
% 0.19/0.66 [36]~E(x361,x362)+E(f52(x361),f52(x362))
% 0.19/0.66 [37]~E(x371,x372)+E(f30(x371),f30(x372))
% 0.19/0.66 [38]~E(x381,x382)+E(f15(x381,x383),f15(x382,x383))
% 0.19/0.66 [39]~E(x391,x392)+E(f15(x393,x391),f15(x393,x392))
% 0.19/0.66 [40]~E(x401,x402)+E(f33(x401,x403,x404),f33(x402,x403,x404))
% 0.19/0.66 [41]~E(x411,x412)+E(f33(x413,x411,x414),f33(x413,x412,x414))
% 0.19/0.66 [42]~E(x421,x422)+E(f33(x423,x424,x421),f33(x423,x424,x422))
% 0.19/0.66 [43]~E(x431,x432)+E(f19(x431,x433),f19(x432,x433))
% 0.19/0.66 [44]~E(x441,x442)+E(f19(x443,x441),f19(x443,x442))
% 0.19/0.66 [45]~E(x451,x452)+E(f37(x451,x453,x454),f37(x452,x453,x454))
% 0.19/0.66 [46]~E(x461,x462)+E(f37(x463,x461,x464),f37(x463,x462,x464))
% 0.19/0.66 [47]~E(x471,x472)+E(f37(x473,x474,x471),f37(x473,x474,x472))
% 0.19/0.66 [48]~E(x481,x482)+E(f8(x481),f8(x482))
% 0.19/0.66 [49]~E(x491,x492)+E(f47(x491,x493),f47(x492,x493))
% 0.19/0.66 [50]~E(x501,x502)+E(f47(x503,x501),f47(x503,x502))
% 0.19/0.66 [51]~E(x511,x512)+E(f44(x511,x513),f44(x512,x513))
% 0.19/0.66 [52]~E(x521,x522)+E(f44(x523,x521),f44(x523,x522))
% 0.19/0.66 [53]~E(x531,x532)+E(f39(x531,x533,x534,x535,x536),f39(x532,x533,x534,x535,x536))
% 0.19/0.66 [54]~E(x541,x542)+E(f39(x543,x541,x544,x545,x546),f39(x543,x542,x544,x545,x546))
% 0.19/0.66 [55]~E(x551,x552)+E(f39(x553,x554,x551,x555,x556),f39(x553,x554,x552,x555,x556))
% 0.19/0.66 [56]~E(x561,x562)+E(f39(x563,x564,x565,x561,x566),f39(x563,x564,x565,x562,x566))
% 0.19/0.66 [57]~E(x571,x572)+E(f39(x573,x574,x575,x576,x571),f39(x573,x574,x575,x576,x572))
% 0.19/0.66 [58]~E(x581,x582)+E(f32(x581,x583,x584),f32(x582,x583,x584))
% 0.19/0.66 [59]~E(x591,x592)+E(f32(x593,x591,x594),f32(x593,x592,x594))
% 0.19/0.66 [60]~E(x601,x602)+E(f32(x603,x604,x601),f32(x603,x604,x602))
% 0.19/0.66 [61]~E(x611,x612)+E(f28(x611,x613,x614),f28(x612,x613,x614))
% 0.19/0.66 [62]~E(x621,x622)+E(f28(x623,x621,x624),f28(x623,x622,x624))
% 0.19/0.66 [63]~E(x631,x632)+E(f28(x633,x634,x631),f28(x633,x634,x632))
% 0.19/0.66 [64]~E(x641,x642)+E(f18(x641,x643),f18(x642,x643))
% 0.19/0.66 [65]~E(x651,x652)+E(f18(x653,x651),f18(x653,x652))
% 0.19/0.66 [66]~E(x661,x662)+E(f49(x661,x663),f49(x662,x663))
% 0.19/0.66 [67]~E(x671,x672)+E(f49(x673,x671),f49(x673,x672))
% 0.19/0.66 [68]~E(x681,x682)+E(f16(x681,x683),f16(x682,x683))
% 0.19/0.66 [69]~E(x691,x692)+E(f16(x693,x691),f16(x693,x692))
% 0.19/0.66 [70]~E(x701,x702)+E(f27(x701,x703),f27(x702,x703))
% 0.19/0.66 [71]~E(x711,x712)+E(f27(x713,x711),f27(x713,x712))
% 0.19/0.66 [72]~E(x721,x722)+E(f54(x721),f54(x722))
% 0.19/0.66 [73]~E(x731,x732)+E(f11(x731,x733),f11(x732,x733))
% 0.19/0.66 [74]~E(x741,x742)+E(f11(x743,x741),f11(x743,x742))
% 0.19/0.66 [75]~E(x751,x752)+E(f10(x751),f10(x752))
% 0.19/0.66 [76]~E(x761,x762)+E(f21(x761,x763),f21(x762,x763))
% 0.19/0.66 [77]~E(x771,x772)+E(f21(x773,x771),f21(x773,x772))
% 0.19/0.66 [78]~E(x781,x782)+E(f31(x781,x783),f31(x782,x783))
% 0.19/0.66 [79]~E(x791,x792)+E(f31(x793,x791),f31(x793,x792))
% 0.19/0.66 [80]~E(x801,x802)+E(f20(x801,x803),f20(x802,x803))
% 0.19/0.66 [81]~E(x811,x812)+E(f20(x813,x811),f20(x813,x812))
% 0.19/0.66 [82]~E(x821,x822)+E(f43(x821,x823),f43(x822,x823))
% 0.19/0.66 [83]~E(x831,x832)+E(f43(x833,x831),f43(x833,x832))
% 0.19/0.66 [84]~E(x841,x842)+E(f17(x841,x843),f17(x842,x843))
% 0.19/0.66 [85]~E(x851,x852)+E(f17(x853,x851),f17(x853,x852))
% 0.19/0.66 [86]~E(x861,x862)+E(f45(x861,x863),f45(x862,x863))
% 0.19/0.66 [87]~E(x871,x872)+E(f45(x873,x871),f45(x873,x872))
% 0.19/0.66 [88]~E(x881,x882)+E(f22(x881,x883),f22(x882,x883))
% 0.19/0.66 [89]~E(x891,x892)+E(f22(x893,x891),f22(x893,x892))
% 0.19/0.66 [90]~E(x901,x902)+E(f46(x901),f46(x902))
% 0.19/0.66 [91]~P1(x911)+P1(x912)+~E(x911,x912)
% 0.19/0.66 [92]~P2(x921)+P2(x922)+~E(x921,x922)
% 0.19/0.66 [93]P6(x932,x933)+~E(x931,x932)+~P6(x931,x933)
% 0.19/0.66 [94]P6(x943,x942)+~E(x941,x942)+~P6(x943,x941)
% 0.19/0.66 [95]P7(x952,x953,x954)+~E(x951,x952)+~P7(x951,x953,x954)
% 0.19/0.66 [96]P7(x963,x962,x964)+~E(x961,x962)+~P7(x963,x961,x964)
% 0.19/0.66 [97]P7(x973,x974,x972)+~E(x971,x972)+~P7(x973,x974,x971)
% 0.19/0.66 [98]~P10(x981)+P10(x982)+~E(x981,x982)
% 0.19/0.66 [99]P4(x992,x993)+~E(x991,x992)+~P4(x991,x993)
% 0.19/0.66 [100]P4(x1003,x1002)+~E(x1001,x1002)+~P4(x1003,x1001)
% 0.19/0.66 [101]~P8(x1011)+P8(x1012)+~E(x1011,x1012)
% 0.19/0.66 [102]P5(x1022,x1023,x1024,x1025,x1026)+~E(x1021,x1022)+~P5(x1021,x1023,x1024,x1025,x1026)
% 0.19/0.66 [103]P5(x1033,x1032,x1034,x1035,x1036)+~E(x1031,x1032)+~P5(x1033,x1031,x1034,x1035,x1036)
% 0.19/0.66 [104]P5(x1043,x1044,x1042,x1045,x1046)+~E(x1041,x1042)+~P5(x1043,x1044,x1041,x1045,x1046)
% 0.19/0.66 [105]P5(x1053,x1054,x1055,x1052,x1056)+~E(x1051,x1052)+~P5(x1053,x1054,x1055,x1051,x1056)
% 0.19/0.66 [106]P5(x1063,x1064,x1065,x1066,x1062)+~E(x1061,x1062)+~P5(x1063,x1064,x1065,x1066,x1061)
% 0.19/0.66 [107]~P12(x1071)+P12(x1072)+~E(x1071,x1072)
% 0.19/0.66 [108]P13(x1082,x1083)+~E(x1081,x1082)+~P13(x1081,x1083)
% 0.19/0.66 [109]P13(x1093,x1092)+~E(x1091,x1092)+~P13(x1093,x1091)
% 0.19/0.66 [110]P11(x1102,x1103)+~E(x1101,x1102)+~P11(x1101,x1103)
% 0.19/0.66 [111]P11(x1113,x1112)+~E(x1111,x1112)+~P11(x1113,x1111)
% 0.19/0.66 [112]~P9(x1121)+P9(x1122)+~E(x1121,x1122)
% 0.19/0.66 [113]P3(x1132,x1133)+~E(x1131,x1132)+~P3(x1131,x1133)
% 0.19/0.66 [114]P3(x1143,x1142)+~E(x1141,x1142)+~P3(x1143,x1141)
% 0.19/0.66
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 cnf(251,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[120,118]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------