TSTP Solution File: SET776+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 14:31:00 EDT 2023
% Result : Theorem 1.23s 1.43s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.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 16:07:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 1.23/1.43 %-------------------------------------------
% 1.23/1.43 % File :CSE---1.6
% 1.23/1.43 % Problem :theBenchmark
% 1.23/1.43 % Transform :cnf
% 1.23/1.43 % Format :tptp:raw
% 1.23/1.43 % Command :java -jar mcs_scs.jar %d %s
% 1.23/1.43
% 1.23/1.43 % Result :Theorem 0.800000s
% 1.23/1.43 % Output :CNFRefutation 0.800000s
% 1.23/1.43 %-------------------------------------------
% 1.23/1.43 %--------------------------------------------------------------------------
% 1.23/1.43 % File : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% 1.23/1.43 % Domain : Set Theory (Equivalence relations)
% 1.23/1.43 % Problem : Property of pre-order
% 1.23/1.43 % Version : [Pas99] axioms.
% 1.23/1.43 % English : If P is a pre-order relation,and R defined by R(A,B) iff P(A,B)
% 1.23/1.43 % and P(B,A), then R(X1,Y1) and R(X2,Y2) and P(X1,X2) implies
% 1.23/1.43 % P(Y1,Y2).
% 1.23/1.43
% 1.23/1.43 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 1.23/1.43 % Source : [Pas99]
% 1.23/1.43 % Names :
% 1.23/1.43
% 1.23/1.43 % Status : Theorem
% 1.23/1.43 % Rating : 0.17 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.32 v3.3.0, 0.14 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.62 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1
% 1.23/1.43 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 1.23/1.43 % Number of atoms : 82 ( 4 equ)
% 1.23/1.43 % Maximal formula atoms : 14 ( 4 avg)
% 1.23/1.43 % Number of connectives : 68 ( 3 ~; 2 |; 29 &)
% 1.23/1.43 % ( 16 <=>; 18 =>; 0 <=; 0 <~>)
% 1.23/1.43 % Maximal formula depth : 13 ( 7 avg)
% 1.23/1.43 % Maximal term depth : 2 ( 1 avg)
% 1.23/1.43 % Number of predicates : 9 ( 8 usr; 0 prp; 2-3 aty)
% 1.23/1.43 % Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% 1.23/1.43 % Number of variables : 66 ( 62 !; 4 ?)
% 1.23/1.43 % SPC : FOF_THM_RFO_SEQ
% 1.23/1.43
% 1.23/1.43 % Comments :
% 1.23/1.43 %--------------------------------------------------------------------------
% 1.23/1.43 %----Include set theory definitions
% 1.23/1.43 include('Axioms/SET006+0.ax').
% 1.23/1.43 %----Include equivalence relation axioms
% 1.23/1.43 include('Axioms/SET006+2.ax').
% 1.23/1.43 %--------------------------------------------------------------------------
% 1.23/1.43 fof(thIII12,conjecture,
% 1.23/1.43 ! [E,P,R] :
% 1.23/1.43 ( ( pre_order(P,E)
% 1.23/1.43 & ! [A,B] :
% 1.23/1.43 ( ( member(A,E)
% 1.23/1.43 & member(B,E) )
% 1.23/1.43 => ( apply(R,A,B)
% 1.23/1.43 <=> ( apply(P,A,B)
% 1.23/1.43 & apply(P,B,A) ) ) ) )
% 1.23/1.43 => ! [X1,X2,Y1,Y2] :
% 1.23/1.43 ( ( member(X1,E)
% 1.23/1.43 & member(X2,E)
% 1.23/1.43 & member(Y1,E)
% 1.23/1.43 & member(Y2,E) )
% 1.23/1.43 => ( ( apply(R,X1,Y1)
% 1.23/1.43 & apply(R,X2,Y2)
% 1.23/1.43 & apply(P,X1,X2) )
% 1.23/1.43 => apply(P,Y1,Y2) ) ) ) ).
% 1.23/1.43
% 1.23/1.43 %--------------------------------------------------------------------------
% 1.23/1.43 %-------------------------------------------
% 1.23/1.43 % Proof found
% 1.23/1.43 % SZS status Theorem for theBenchmark
% 1.23/1.43 % SZS output start Proof
% 1.23/1.43 %ClaNum:216(EqnAxiom:78)
% 1.23/1.43 %VarNum:1351(SingletonVarNum:305)
% 1.23/1.43 %MaxLitNum:7
% 1.23/1.43 %MaxfuncDepth:1
% 1.23/1.43 %SharedTerms:17
% 1.23/1.43 %goalClause: 79 80 81 82 83 84 85 86 88 147 148 176
% 1.23/1.43 %singleGoalClaCount:9
% 1.23/1.43 [79]P1(a1,a2)
% 1.23/1.43 [80]P1(a13,a2)
% 1.23/1.43 [81]P1(a14,a2)
% 1.23/1.43 [82]P1(a16,a2)
% 1.23/1.43 [83]P7(a11,a2)
% 1.23/1.43 [84]P2(a11,a1,a13)
% 1.23/1.43 [85]P2(a12,a1,a14)
% 1.23/1.44 [86]P2(a12,a13,a16)
% 1.23/1.44 [88]~P2(a11,a14,a16)
% 1.23/1.44 [87]~P1(x871,a3)
% 1.23/1.44 [91]~P3(x912,x911)+P9(x911,x912)
% 1.23/1.44 [92]~P3(x921,x922)+P9(x921,x922)
% 1.23/1.44 [93]~P4(x931,x932)+P6(x931,x932)
% 1.23/1.44 [94]~P6(x941,x942)+P4(x941,x942)
% 1.23/1.44 [89]~E(x891,x892)+P1(x891,f17(x892))
% 1.23/1.44 [90]E(x901,x902)+~P1(x901,f17(x902))
% 1.23/1.44 [95]~P9(x951,x952)+P1(x951,f18(x952))
% 1.23/1.44 [98]P9(x981,x982)+~P1(x981,f18(x982))
% 1.23/1.44 [99]P9(x991,x992)+P1(f15(x991,x992),x991)
% 1.23/1.44 [100]P5(x1001,x1002)+P1(f19(x1001,x1002),x1002)
% 1.23/1.44 [101]P5(x1011,x1012)+P1(f19(x1011,x1012),x1011)
% 1.23/1.44 [105]P1(f20(x1051,x1052),x1052)+P1(x1051,f34(x1052))
% 1.23/1.44 [112]~P1(x1121,f37(x1122))+P1(x1121,f21(x1121,x1122))
% 1.23/1.44 [113]~P1(x1131,f37(x1132))+P1(f21(x1131,x1132),x1132)
% 1.23/1.44 [118]P9(x1181,x1182)+~P1(f15(x1181,x1182),x1182)
% 1.23/1.44 [119]~P1(x1191,f20(x1191,x1192))+P1(x1191,f34(x1192))
% 1.23/1.44 [96]~E(x961,x963)+P1(x961,f35(x962,x963))
% 1.23/1.44 [97]~E(x971,x972)+P1(x971,f35(x972,x973))
% 1.23/1.44 [106]~P1(x1061,x1063)+P1(x1061,f36(x1062,x1063))
% 1.23/1.44 [107]~P1(x1071,x1072)+P1(x1071,f36(x1072,x1073))
% 1.23/1.44 [115]P1(x1151,x1152)+~P1(x1151,f28(x1153,x1152))
% 1.23/1.44 [116]P1(x1161,x1162)+~P1(x1161,f28(x1162,x1163))
% 1.23/1.44 [117]P1(x1171,x1172)+~P1(x1171,f4(x1172,x1173))
% 1.23/1.44 [121]~P1(x1211,x1212)+~P1(x1211,f4(x1213,x1212))
% 1.23/1.44 [163]P1(x1631,x1632)+~P1(x1631,f7(x1633,x1632,x1634))
% 1.23/1.44 [175]P2(x1751,x1752,x1753)+~P1(x1753,f7(x1752,x1754,x1751))
% 1.23/1.44 [104]~P9(x1042,x1041)+~P9(x1041,x1042)+P3(x1041,x1042)
% 1.23/1.44 [123]P7(x1231,x1232)+P1(f5(x1231,x1232),x1232)+P1(f8(x1231,x1232),x1232)
% 1.23/1.44 [124]P7(x1241,x1242)+P1(f5(x1241,x1242),x1242)+P1(f9(x1241,x1242),x1242)
% 1.23/1.44 [125]P7(x1251,x1252)+P1(f5(x1251,x1252),x1252)+P1(f10(x1251,x1252),x1252)
% 1.23/1.44 [140]P7(x1401,x1402)+P2(x1401,f8(x1401,x1402),f9(x1401,x1402))+P1(f5(x1401,x1402),x1402)
% 1.23/1.44 [141]P7(x1411,x1412)+P2(x1411,f9(x1411,x1412),f10(x1411,x1412))+P1(f5(x1411,x1412),x1412)
% 1.23/1.44 [168]P7(x1681,x1682)+~P2(x1681,f8(x1681,x1682),f10(x1681,x1682))+P1(f5(x1681,x1682),x1682)
% 1.23/1.44 [169]P7(x1691,x1692)+~P2(x1691,f5(x1691,x1692),f5(x1691,x1692))+P1(f8(x1691,x1692),x1692)
% 1.23/1.44 [170]P7(x1701,x1702)+~P2(x1701,f5(x1701,x1702),f5(x1701,x1702))+P1(f9(x1701,x1702),x1702)
% 1.23/1.44 [171]P7(x1711,x1712)+~P2(x1711,f5(x1711,x1712),f5(x1711,x1712))+P1(f10(x1711,x1712),x1712)
% 1.23/1.44 [190]P7(x1901,x1902)+P2(x1901,f8(x1901,x1902),f9(x1901,x1902))+~P2(x1901,f5(x1901,x1902),f5(x1901,x1902))
% 1.23/1.44 [191]P7(x1911,x1912)+P2(x1911,f9(x1911,x1912),f10(x1911,x1912))+~P2(x1911,f5(x1911,x1912),f5(x1911,x1912))
% 1.23/1.44 [204]P7(x2041,x2042)+~P2(x2041,f5(x2041,x2042),f5(x2041,x2042))+~P2(x2041,f8(x2041,x2042),f10(x2041,x2042))
% 1.23/1.44 [102]~P8(x1023,x1022)+P9(x1021,x1022)+~P1(x1021,x1023)
% 1.23/1.44 [103]~P1(x1031,x1033)+P1(x1031,x1032)+~P9(x1033,x1032)
% 1.23/1.44 [110]~P5(x1103,x1102)+~P1(x1101,x1102)+~P1(x1101,x1103)
% 1.23/1.44 [126]~P7(x1261,x1263)+P2(x1261,x1262,x1262)+~P1(x1262,x1263)
% 1.23/1.44 [127]~P4(x1271,x1273)+P2(x1271,x1272,x1272)+~P1(x1272,x1273)
% 1.23/1.44 [108]~P1(x1083,x1082)+~P1(x1081,x1083)+P1(x1081,f37(x1082))
% 1.23/1.44 [109]E(x1091,x1092)+E(x1091,x1093)+~P1(x1091,f35(x1093,x1092))
% 1.23/1.44 [111]P1(x1111,x1112)+~P1(x1112,x1113)+~P1(x1111,f34(x1113))
% 1.23/1.44 [114]~P1(x1141,x1143)+P1(x1141,x1142)+P1(x1141,f4(x1143,x1142))
% 1.23/1.44 [120]~P1(x1201,x1203)+~P1(x1201,x1202)+P1(x1201,f28(x1202,x1203))
% 1.23/1.44 [122]P1(x1221,x1222)+P1(x1221,x1223)+~P1(x1221,f36(x1223,x1222))
% 1.23/1.44 [145]~P1(x1451,x1453)+~P8(x1452,x1453)+P1(x1451,f30(x1452,x1453,x1451))
% 1.23/1.44 [146]~P1(x1463,x1462)+~P8(x1461,x1462)+P1(f30(x1461,x1462,x1463),x1461)
% 1.23/1.44 [172]~P1(x1721,x1723)+~P2(x1724,x1722,x1721)+P1(x1721,f7(x1722,x1723,x1724))
% 1.23/1.44 [147]~P2(a12,x1472,x1471)+P2(a11,x1471,x1472)+~P1(x1472,a2)+~P1(x1471,a2)
% 1.23/1.44 [148]~P2(a12,x1481,x1482)+P2(a11,x1481,x1482)+~P1(x1482,a2)+~P1(x1481,a2)
% 1.23/1.44 [129]P8(x1291,x1292)+P1(f29(x1291,x1292),x1291)+P1(f31(x1291,x1292),x1292)+P1(f32(x1291,x1292),x1291)
% 1.23/1.44 [130]P8(x1301,x1302)+P1(f29(x1301,x1302),x1301)+P1(f31(x1301,x1302),x1302)+P1(f33(x1301,x1302),x1301)
% 1.23/1.44 [131]P4(x1311,x1312)+P1(f22(x1312,x1311),x1312)+P1(f23(x1312,x1311),x1312)+P1(f24(x1312,x1311),x1312)
% 1.23/1.44 [132]P4(x1321,x1322)+P1(f22(x1322,x1321),x1322)+P1(f23(x1322,x1321),x1322)+P1(f26(x1322,x1321),x1322)
% 1.23/1.44 [133]P4(x1331,x1332)+P1(f22(x1332,x1331),x1332)+P1(f23(x1332,x1331),x1332)+P1(f27(x1332,x1331),x1332)
% 1.23/1.44 [134]P4(x1341,x1342)+P1(f22(x1342,x1341),x1342)+P1(f25(x1342,x1341),x1342)+P1(f24(x1342,x1341),x1342)
% 1.23/1.44 [135]P4(x1351,x1352)+P1(f22(x1352,x1351),x1352)+P1(f25(x1352,x1351),x1352)+P1(f26(x1352,x1351),x1352)
% 1.23/1.44 [136]P4(x1361,x1362)+P1(f22(x1362,x1361),x1362)+P1(f25(x1362,x1361),x1362)+P1(f27(x1362,x1361),x1362)
% 1.23/1.44 [137]P8(x1371,x1372)+P1(f29(x1371,x1372),x1371)+P1(f31(x1371,x1372),x1372)+~E(f33(x1371,x1372),f32(x1371,x1372))
% 1.23/1.44 [138]P8(x1381,x1382)+P1(f31(x1381,x1382),x1382)+P1(f32(x1381,x1382),x1381)+~P9(f29(x1381,x1382),x1382)
% 1.23/1.44 [139]P8(x1391,x1392)+P1(f31(x1391,x1392),x1392)+P1(f33(x1391,x1392),x1391)+~P9(f29(x1391,x1392),x1392)
% 1.23/1.44 [142]P8(x1421,x1422)+P1(f29(x1421,x1422),x1421)+P1(f31(x1421,x1422),x1422)+P1(f6(x1421,x1422),f32(x1421,x1422))
% 1.23/1.44 [143]P8(x1431,x1432)+P1(f29(x1431,x1432),x1431)+P1(f31(x1431,x1432),x1432)+P1(f6(x1431,x1432),f33(x1431,x1432))
% 1.23/1.44 [144]P8(x1441,x1442)+P1(f31(x1441,x1442),x1442)+~E(f33(x1441,x1442),f32(x1441,x1442))+~P9(f29(x1441,x1442),x1442)
% 1.23/1.44 [151]P8(x1511,x1512)+P1(f31(x1511,x1512),x1512)+P1(f6(x1511,x1512),f32(x1511,x1512))+~P9(f29(x1511,x1512),x1512)
% 1.23/1.44 [152]P8(x1521,x1522)+P1(f31(x1521,x1522),x1522)+P1(f6(x1521,x1522),f33(x1521,x1522))+~P9(f29(x1521,x1522),x1522)
% 1.23/1.44 [154]P4(x1541,x1542)+P2(x1541,f23(x1542,x1541),f25(x1542,x1541))+P1(f22(x1542,x1541),x1542)+P1(f24(x1542,x1541),x1542)
% 1.23/1.44 [155]P4(x1551,x1552)+P2(x1551,f23(x1552,x1551),f25(x1552,x1551))+P1(f22(x1552,x1551),x1552)+P1(f26(x1552,x1551),x1552)
% 1.23/1.44 [156]P4(x1561,x1562)+P2(x1561,f23(x1562,x1561),f25(x1562,x1561))+P1(f22(x1562,x1561),x1562)+P1(f27(x1562,x1561),x1562)
% 1.23/1.44 [157]P4(x1571,x1572)+P2(x1571,f24(x1572,x1571),f26(x1572,x1571))+P1(f22(x1572,x1571),x1572)+P1(f23(x1572,x1571),x1572)
% 1.23/1.44 [158]P4(x1581,x1582)+P2(x1581,f26(x1582,x1581),f27(x1582,x1581))+P1(f22(x1582,x1581),x1582)+P1(f23(x1582,x1581),x1582)
% 1.23/1.44 [159]P4(x1591,x1592)+P2(x1591,f24(x1592,x1591),f26(x1592,x1591))+P1(f22(x1592,x1591),x1592)+P1(f25(x1592,x1591),x1592)
% 1.23/1.44 [160]P4(x1601,x1602)+P2(x1601,f26(x1602,x1601),f27(x1602,x1601))+P1(f22(x1602,x1601),x1602)+P1(f25(x1602,x1601),x1602)
% 1.23/1.44 [177]P4(x1771,x1772)+~P2(x1771,f25(x1772,x1771),f23(x1772,x1771))+P1(f22(x1772,x1771),x1772)+P1(f24(x1772,x1771),x1772)
% 1.23/1.44 [178]P4(x1781,x1782)+~P2(x1781,f25(x1782,x1781),f23(x1782,x1781))+P1(f22(x1782,x1781),x1782)+P1(f26(x1782,x1781),x1782)
% 1.23/1.44 [179]P4(x1791,x1792)+~P2(x1791,f25(x1792,x1791),f23(x1792,x1791))+P1(f22(x1792,x1791),x1792)+P1(f27(x1792,x1791),x1792)
% 1.23/1.44 [180]P4(x1801,x1802)+~P2(x1801,f22(x1802,x1801),f22(x1802,x1801))+P1(f23(x1802,x1801),x1802)+P1(f24(x1802,x1801),x1802)
% 1.23/1.44 [181]P4(x1811,x1812)+~P2(x1811,f22(x1812,x1811),f22(x1812,x1811))+P1(f23(x1812,x1811),x1812)+P1(f26(x1812,x1811),x1812)
% 1.23/1.44 [182]P4(x1821,x1822)+~P2(x1821,f22(x1822,x1821),f22(x1822,x1821))+P1(f23(x1822,x1821),x1822)+P1(f27(x1822,x1821),x1822)
% 1.23/1.44 [183]P4(x1831,x1832)+~P2(x1831,f22(x1832,x1831),f22(x1832,x1831))+P1(f25(x1832,x1831),x1832)+P1(f24(x1832,x1831),x1832)
% 1.23/1.44 [184]P4(x1841,x1842)+~P2(x1841,f22(x1842,x1841),f22(x1842,x1841))+P1(f25(x1842,x1841),x1842)+P1(f26(x1842,x1841),x1842)
% 1.23/1.44 [185]P4(x1851,x1852)+~P2(x1851,f22(x1852,x1851),f22(x1852,x1851))+P1(f25(x1852,x1851),x1852)+P1(f27(x1852,x1851),x1852)
% 1.23/1.44 [186]P4(x1861,x1862)+~P2(x1861,f24(x1862,x1861),f27(x1862,x1861))+P1(f22(x1862,x1861),x1862)+P1(f23(x1862,x1861),x1862)
% 1.23/1.44 [187]P4(x1871,x1872)+~P2(x1871,f24(x1872,x1871),f27(x1872,x1871))+P1(f22(x1872,x1871),x1872)+P1(f25(x1872,x1871),x1872)
% 1.23/1.44 [188]P4(x1881,x1882)+P2(x1881,f23(x1882,x1881),f25(x1882,x1881))+P2(x1881,f24(x1882,x1881),f26(x1882,x1881))+P1(f22(x1882,x1881),x1882)
% 1.23/1.44 [189]P4(x1891,x1892)+P2(x1891,f23(x1892,x1891),f25(x1892,x1891))+P2(x1891,f26(x1892,x1891),f27(x1892,x1891))+P1(f22(x1892,x1891),x1892)
% 1.23/1.44 [194]P4(x1941,x1942)+P2(x1941,f23(x1942,x1941),f25(x1942,x1941))+~P2(x1941,f22(x1942,x1941),f22(x1942,x1941))+P1(f24(x1942,x1941),x1942)
% 1.23/1.44 [195]P4(x1951,x1952)+P2(x1951,f23(x1952,x1951),f25(x1952,x1951))+~P2(x1951,f22(x1952,x1951),f22(x1952,x1951))+P1(f26(x1952,x1951),x1952)
% 1.23/1.44 [196]P4(x1961,x1962)+P2(x1961,f23(x1962,x1961),f25(x1962,x1961))+~P2(x1961,f22(x1962,x1961),f22(x1962,x1961))+P1(f27(x1962,x1961),x1962)
% 1.23/1.44 [197]P4(x1971,x1972)+P2(x1971,f23(x1972,x1971),f25(x1972,x1971))+~P2(x1971,f24(x1972,x1971),f27(x1972,x1971))+P1(f22(x1972,x1971),x1972)
% 1.23/1.44 [198]P4(x1981,x1982)+P2(x1981,f24(x1982,x1981),f26(x1982,x1981))+~P2(x1981,f25(x1982,x1981),f23(x1982,x1981))+P1(f22(x1982,x1981),x1982)
% 1.23/1.44 [199]P4(x1991,x1992)+P2(x1991,f26(x1992,x1991),f27(x1992,x1991))+~P2(x1991,f25(x1992,x1991),f23(x1992,x1991))+P1(f22(x1992,x1991),x1992)
% 1.23/1.44 [200]P4(x2001,x2002)+P2(x2001,f24(x2002,x2001),f26(x2002,x2001))+~P2(x2001,f22(x2002,x2001),f22(x2002,x2001))+P1(f23(x2002,x2001),x2002)
% 1.23/1.44 [201]P4(x2011,x2012)+P2(x2011,f26(x2012,x2011),f27(x2012,x2011))+~P2(x2011,f22(x2012,x2011),f22(x2012,x2011))+P1(f23(x2012,x2011),x2012)
% 1.23/1.44 [202]P4(x2021,x2022)+P2(x2021,f24(x2022,x2021),f26(x2022,x2021))+~P2(x2021,f22(x2022,x2021),f22(x2022,x2021))+P1(f25(x2022,x2021),x2022)
% 1.23/1.44 [203]P4(x2031,x2032)+P2(x2031,f26(x2032,x2031),f27(x2032,x2031))+~P2(x2031,f22(x2032,x2031),f22(x2032,x2031))+P1(f25(x2032,x2031),x2032)
% 1.23/1.44 [205]P4(x2051,x2052)+~P2(x2051,f22(x2052,x2051),f22(x2052,x2051))+~P2(x2051,f25(x2052,x2051),f23(x2052,x2051))+P1(f24(x2052,x2051),x2052)
% 1.23/1.44 [206]P4(x2061,x2062)+~P2(x2061,f22(x2062,x2061),f22(x2062,x2061))+~P2(x2061,f25(x2062,x2061),f23(x2062,x2061))+P1(f26(x2062,x2061),x2062)
% 1.23/1.44 [207]P4(x2071,x2072)+~P2(x2071,f22(x2072,x2071),f22(x2072,x2071))+~P2(x2071,f25(x2072,x2071),f23(x2072,x2071))+P1(f27(x2072,x2071),x2072)
% 1.23/1.44 [208]P4(x2081,x2082)+~P2(x2081,f25(x2082,x2081),f23(x2082,x2081))+~P2(x2081,f24(x2082,x2081),f27(x2082,x2081))+P1(f22(x2082,x2081),x2082)
% 1.23/1.44 [209]P4(x2091,x2092)+~P2(x2091,f22(x2092,x2091),f22(x2092,x2091))+~P2(x2091,f24(x2092,x2091),f27(x2092,x2091))+P1(f23(x2092,x2091),x2092)
% 1.23/1.44 [210]P4(x2101,x2102)+~P2(x2101,f22(x2102,x2101),f22(x2102,x2101))+~P2(x2101,f24(x2102,x2101),f27(x2102,x2101))+P1(f25(x2102,x2101),x2102)
% 1.23/1.44 [211]P4(x2111,x2112)+P2(x2111,f23(x2112,x2111),f25(x2112,x2111))+P2(x2111,f24(x2112,x2111),f26(x2112,x2111))+~P2(x2111,f22(x2112,x2111),f22(x2112,x2111))
% 1.23/1.44 [212]P4(x2121,x2122)+P2(x2121,f23(x2122,x2121),f25(x2122,x2121))+P2(x2121,f26(x2122,x2121),f27(x2122,x2121))+~P2(x2121,f22(x2122,x2121),f22(x2122,x2121))
% 1.23/1.44 [213]P4(x2131,x2132)+P2(x2131,f23(x2132,x2131),f25(x2132,x2131))+~P2(x2131,f22(x2132,x2131),f22(x2132,x2131))+~P2(x2131,f24(x2132,x2131),f27(x2132,x2131))
% 1.23/1.44 [214]P4(x2141,x2142)+P2(x2141,f24(x2142,x2141),f26(x2142,x2141))+~P2(x2141,f22(x2142,x2141),f22(x2142,x2141))+~P2(x2141,f25(x2142,x2141),f23(x2142,x2141))
% 1.23/1.44 [215]P4(x2151,x2152)+P2(x2151,f26(x2152,x2151),f27(x2152,x2151))+~P2(x2151,f22(x2152,x2151),f22(x2152,x2151))+~P2(x2151,f25(x2152,x2151),f23(x2152,x2151))
% 1.23/1.44 [216]P4(x2161,x2162)+~P2(x2161,f22(x2162,x2161),f22(x2162,x2161))+~P2(x2161,f25(x2162,x2161),f23(x2162,x2161))+~P2(x2161,f24(x2162,x2161),f27(x2162,x2161))
% 1.23/1.44 [176]~P2(a11,x1762,x1761)+~P2(a11,x1761,x1762)+P2(a12,x1761,x1762)+~P1(x1762,a2)+~P1(x1761,a2)
% 1.23/1.44 [149]P8(x1491,x1492)+~P1(x1493,x1491)+P1(f29(x1491,x1492),x1491)+P1(f32(x1491,x1492),x1491)+~P1(f31(x1491,x1492),x1493)
% 1.23/1.44 [150]P8(x1501,x1502)+~P1(x1503,x1501)+P1(f29(x1501,x1502),x1501)+P1(f33(x1501,x1502),x1501)+~P1(f31(x1501,x1502),x1503)
% 1.23/1.44 [153]P8(x1531,x1532)+~P1(x1533,x1531)+P1(f29(x1531,x1532),x1531)+~E(f33(x1531,x1532),f32(x1531,x1532))+~P1(f31(x1531,x1532),x1533)
% 1.23/1.44 [161]P8(x1611,x1612)+~P1(x1613,x1611)+P1(f32(x1611,x1612),x1611)+~P9(f29(x1611,x1612),x1612)+~P1(f31(x1611,x1612),x1613)
% 1.23/1.44 [162]P8(x1621,x1622)+~P1(x1623,x1621)+P1(f33(x1621,x1622),x1621)+~P9(f29(x1621,x1622),x1622)+~P1(f31(x1621,x1622),x1623)
% 1.23/1.44 [164]P8(x1641,x1642)+~P1(x1643,x1641)+P1(f29(x1641,x1642),x1641)+P1(f6(x1641,x1642),f32(x1641,x1642))+~P1(f31(x1641,x1642),x1643)
% 1.23/1.44 [165]P8(x1651,x1652)+~P1(x1653,x1651)+P1(f29(x1651,x1652),x1651)+P1(f6(x1651,x1652),f33(x1651,x1652))+~P1(f31(x1651,x1652),x1653)
% 1.23/1.44 [166]P8(x1661,x1662)+~P1(x1663,x1661)+~E(f33(x1661,x1662),f32(x1661,x1662))+~P9(f29(x1661,x1662),x1662)+~P1(f31(x1661,x1662),x1663)
% 1.23/1.44 [173]P8(x1731,x1732)+~P1(x1733,x1731)+P1(f6(x1731,x1732),f32(x1731,x1732))+~P9(f29(x1731,x1732),x1732)+~P1(f31(x1731,x1732),x1733)
% 1.23/1.44 [174]P8(x1741,x1742)+~P1(x1743,x1741)+P1(f6(x1741,x1742),f33(x1741,x1742))+~P9(f29(x1741,x1742),x1742)+~P1(f31(x1741,x1742),x1743)
% 1.23/1.44 [167]~P1(x1673,x1674)+~P4(x1671,x1674)+~P2(x1671,x1673,x1672)+P2(x1671,x1672,x1673)+~P1(x1672,x1674)
% 1.23/1.44 [128]~P1(x1283,x1281)+~P1(x1281,x1284)+E(x1281,x1282)+~P1(x1283,x1282)+~P1(x1282,x1284)+~P8(x1284,x1285)
% 1.23/1.44 [192]~P1(x1922,x1924)+~P7(x1921,x1924)+~P2(x1921,x1925,x1923)+~P2(x1921,x1922,x1925)+P2(x1921,x1922,x1923)+~P1(x1923,x1924)+~P1(x1925,x1924)
% 1.23/1.44 [193]~P1(x1932,x1934)+~P4(x1931,x1934)+~P2(x1931,x1935,x1933)+~P2(x1931,x1932,x1935)+P2(x1931,x1932,x1933)+~P1(x1933,x1934)+~P1(x1935,x1934)
% 1.23/1.44 %EqnAxiom
% 1.23/1.44 [1]E(x11,x11)
% 1.23/1.44 [2]E(x22,x21)+~E(x21,x22)
% 1.23/1.44 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.23/1.44 [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 1.23/1.44 [5]~E(x51,x52)+E(f27(x51,x53),f27(x52,x53))
% 1.23/1.44 [6]~E(x61,x62)+E(f27(x63,x61),f27(x63,x62))
% 1.23/1.44 [7]~E(x71,x72)+E(f18(x71),f18(x72))
% 1.23/1.44 [8]~E(x81,x82)+E(f35(x81,x83),f35(x82,x83))
% 1.23/1.44 [9]~E(x91,x92)+E(f35(x93,x91),f35(x93,x92))
% 1.23/1.44 [10]~E(x101,x102)+E(f22(x101,x103),f22(x102,x103))
% 1.23/1.44 [11]~E(x111,x112)+E(f22(x113,x111),f22(x113,x112))
% 1.23/1.44 [12]~E(x121,x122)+E(f26(x121,x123),f26(x122,x123))
% 1.23/1.44 [13]~E(x131,x132)+E(f26(x133,x131),f26(x133,x132))
% 1.23/1.44 [14]~E(x141,x142)+E(f15(x141,x143),f15(x142,x143))
% 1.23/1.44 [15]~E(x151,x152)+E(f15(x153,x151),f15(x153,x152))
% 1.23/1.44 [16]~E(x161,x162)+E(f19(x161,x163),f19(x162,x163))
% 1.23/1.44 [17]~E(x171,x172)+E(f19(x173,x171),f19(x173,x172))
% 1.23/1.44 [18]~E(x181,x182)+E(f10(x181,x183),f10(x182,x183))
% 1.23/1.44 [19]~E(x191,x192)+E(f10(x193,x191),f10(x193,x192))
% 1.23/1.44 [20]~E(x201,x202)+E(f34(x201),f34(x202))
% 1.23/1.44 [21]~E(x211,x212)+E(f20(x211,x213),f20(x212,x213))
% 1.23/1.44 [22]~E(x221,x222)+E(f20(x223,x221),f20(x223,x222))
% 1.23/1.44 [23]~E(x231,x232)+E(f36(x231,x233),f36(x232,x233))
% 1.23/1.44 [24]~E(x241,x242)+E(f36(x243,x241),f36(x243,x242))
% 1.23/1.44 [25]~E(x251,x252)+E(f23(x251,x253),f23(x252,x253))
% 1.23/1.44 [26]~E(x261,x262)+E(f23(x263,x261),f23(x263,x262))
% 1.23/1.44 [27]~E(x271,x272)+E(f37(x271),f37(x272))
% 1.23/1.44 [28]~E(x281,x282)+E(f24(x281,x283),f24(x282,x283))
% 1.23/1.44 [29]~E(x291,x292)+E(f24(x293,x291),f24(x293,x292))
% 1.23/1.44 [30]~E(x301,x302)+E(f25(x301,x303),f25(x302,x303))
% 1.23/1.44 [31]~E(x311,x312)+E(f25(x313,x311),f25(x313,x312))
% 1.23/1.44 [32]~E(x321,x322)+E(f21(x321,x323),f21(x322,x323))
% 1.23/1.44 [33]~E(x331,x332)+E(f21(x333,x331),f21(x333,x332))
% 1.23/1.44 [34]~E(x341,x342)+E(f5(x341,x343),f5(x342,x343))
% 1.23/1.44 [35]~E(x351,x352)+E(f5(x353,x351),f5(x353,x352))
% 1.23/1.44 [36]~E(x361,x362)+E(f7(x361,x363,x364),f7(x362,x363,x364))
% 1.23/1.44 [37]~E(x371,x372)+E(f7(x373,x371,x374),f7(x373,x372,x374))
% 1.23/1.44 [38]~E(x381,x382)+E(f7(x383,x384,x381),f7(x383,x384,x382))
% 1.23/1.44 [39]~E(x391,x392)+E(f9(x391,x393),f9(x392,x393))
% 1.23/1.44 [40]~E(x401,x402)+E(f9(x403,x401),f9(x403,x402))
% 1.23/1.44 [41]~E(x411,x412)+E(f4(x411,x413),f4(x412,x413))
% 1.23/1.44 [42]~E(x421,x422)+E(f4(x423,x421),f4(x423,x422))
% 1.23/1.44 [43]~E(x431,x432)+E(f28(x431,x433),f28(x432,x433))
% 1.23/1.44 [44]~E(x441,x442)+E(f28(x443,x441),f28(x443,x442))
% 1.23/1.44 [45]~E(x451,x452)+E(f29(x451,x453),f29(x452,x453))
% 1.23/1.44 [46]~E(x461,x462)+E(f29(x463,x461),f29(x463,x462))
% 1.23/1.44 [47]~E(x471,x472)+E(f33(x471,x473),f33(x472,x473))
% 1.23/1.44 [48]~E(x481,x482)+E(f33(x483,x481),f33(x483,x482))
% 1.23/1.44 [49]~E(x491,x492)+E(f8(x491,x493),f8(x492,x493))
% 1.23/1.44 [50]~E(x501,x502)+E(f8(x503,x501),f8(x503,x502))
% 1.23/1.44 [51]~E(x511,x512)+E(f6(x511,x513),f6(x512,x513))
% 1.23/1.44 [52]~E(x521,x522)+E(f6(x523,x521),f6(x523,x522))
% 1.23/1.44 [53]~E(x531,x532)+E(f32(x531,x533),f32(x532,x533))
% 1.23/1.44 [54]~E(x541,x542)+E(f32(x543,x541),f32(x543,x542))
% 1.23/1.44 [55]~E(x551,x552)+E(f30(x551,x553,x554),f30(x552,x553,x554))
% 1.23/1.44 [56]~E(x561,x562)+E(f30(x563,x561,x564),f30(x563,x562,x564))
% 1.23/1.44 [57]~E(x571,x572)+E(f30(x573,x574,x571),f30(x573,x574,x572))
% 1.23/1.44 [58]~E(x581,x582)+E(f31(x581,x583),f31(x582,x583))
% 1.23/1.44 [59]~E(x591,x592)+E(f31(x593,x591),f31(x593,x592))
% 1.23/1.44 [60]P1(x602,x603)+~E(x601,x602)+~P1(x601,x603)
% 1.23/1.44 [61]P1(x613,x612)+~E(x611,x612)+~P1(x613,x611)
% 1.23/1.44 [62]P2(x622,x623,x624)+~E(x621,x622)+~P2(x621,x623,x624)
% 1.23/1.44 [63]P2(x633,x632,x634)+~E(x631,x632)+~P2(x633,x631,x634)
% 1.23/1.44 [64]P2(x643,x644,x642)+~E(x641,x642)+~P2(x643,x644,x641)
% 1.23/1.44 [65]P9(x652,x653)+~E(x651,x652)+~P9(x651,x653)
% 1.23/1.44 [66]P9(x663,x662)+~E(x661,x662)+~P9(x663,x661)
% 1.23/1.44 [67]P8(x672,x673)+~E(x671,x672)+~P8(x671,x673)
% 1.23/1.44 [68]P8(x683,x682)+~E(x681,x682)+~P8(x683,x681)
% 1.23/1.44 [69]P7(x692,x693)+~E(x691,x692)+~P7(x691,x693)
% 1.23/1.44 [70]P7(x703,x702)+~E(x701,x702)+~P7(x703,x701)
% 1.23/1.44 [71]P4(x712,x713)+~E(x711,x712)+~P4(x711,x713)
% 1.23/1.44 [72]P4(x723,x722)+~E(x721,x722)+~P4(x723,x721)
% 1.23/1.44 [73]P5(x732,x733)+~E(x731,x732)+~P5(x731,x733)
% 1.23/1.44 [74]P5(x743,x742)+~E(x741,x742)+~P5(x743,x741)
% 1.23/1.44 [75]P3(x752,x753)+~E(x751,x752)+~P3(x751,x753)
% 1.23/1.44 [76]P3(x763,x762)+~E(x761,x762)+~P3(x763,x761)
% 1.23/1.44 [77]P6(x772,x773)+~E(x771,x772)+~P6(x771,x773)
% 1.23/1.44 [78]P6(x783,x782)+~E(x781,x782)+~P6(x783,x781)
% 1.23/1.44
% 1.23/1.44 %-------------------------------------------
% 1.23/1.45 cnf(218,plain,
% 1.23/1.45 (~P1(x2181,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(219,plain,
% 1.23/1.45 (P5(x2191,a3)),
% 1.23/1.45 inference(scs_inference,[],[87,218,101,100])).
% 1.23/1.45 cnf(220,plain,
% 1.23/1.45 (~P1(x2201,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(222,plain,
% 1.23/1.45 (P9(a3,x2221)),
% 1.23/1.45 inference(scs_inference,[],[87,218,220,101,100,99])).
% 1.23/1.45 cnf(223,plain,
% 1.23/1.45 (~P1(x2231,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(225,plain,
% 1.23/1.45 (~P1(x2251,f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[87,218,220,223,101,100,99,113])).
% 1.23/1.45 cnf(226,plain,
% 1.23/1.45 (~P1(x2261,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(228,plain,
% 1.23/1.45 (~E(a2,a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,101,100,99,113,61])).
% 1.23/1.45 cnf(229,plain,
% 1.23/1.45 (~P1(x2291,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(234,plain,
% 1.23/1.45 (~P8(a3,a2)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,83,101,100,99,113,61,126,104,146])).
% 1.23/1.45 cnf(235,plain,
% 1.23/1.45 (~P1(x2351,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(239,plain,
% 1.23/1.45 (~E(a3,a2)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,83,101,100,99,113,61,126,104,146,176,2])).
% 1.23/1.45 cnf(240,plain,
% 1.23/1.45 (~P1(x2401,f7(x2402,a3,x2403))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163])).
% 1.23/1.45 cnf(242,plain,
% 1.23/1.45 (~P1(a1,f4(x2421,a2))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163,121])).
% 1.23/1.45 cnf(244,plain,
% 1.23/1.45 (~P1(x2441,f4(a3,x2442))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163,121,117])).
% 1.23/1.45 cnf(246,plain,
% 1.23/1.45 (~P1(x2461,f28(a3,x2462))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163,121,117,116])).
% 1.23/1.45 cnf(248,plain,
% 1.23/1.45 (~P1(x2481,f28(x2482,a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115])).
% 1.23/1.45 cnf(250,plain,
% 1.23/1.45 (P1(a1,f36(a2,x2501))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107])).
% 1.23/1.45 cnf(258,plain,
% 1.23/1.45 (~P1(a16,f7(a14,x2581,a11))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175])).
% 1.23/1.45 cnf(260,plain,
% 1.23/1.45 (P1(x2601,f34(a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105])).
% 1.23/1.45 cnf(261,plain,
% 1.23/1.45 (~P1(x2611,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(264,plain,
% 1.23/1.45 (~P9(a2,a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103])).
% 1.23/1.45 cnf(265,plain,
% 1.23/1.45 (~P1(x2651,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(267,plain,
% 1.23/1.45 (~P1(x2671,f34(f18(a3)))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111])).
% 1.23/1.45 cnf(269,plain,
% 1.23/1.45 (P1(a1,f37(f34(a3)))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108])).
% 1.23/1.45 cnf(271,plain,
% 1.23/1.45 (~P1(x2711,f36(a3,a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,83,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122])).
% 1.23/1.45 cnf(276,plain,
% 1.23/1.45 (~P1(x2761,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(284,plain,
% 1.23/1.45 (~P2(a12,a16,a14)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147])).
% 1.23/1.45 cnf(286,plain,
% 1.23/1.45 (~P3(a2,a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147,92])).
% 1.23/1.45 cnf(292,plain,
% 1.23/1.45 (~P5(a2,a2)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147,92,91,119,110])).
% 1.23/1.45 cnf(294,plain,
% 1.23/1.45 (~P8(f34(a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147,92,91,119,110,102])).
% 1.23/1.45 cnf(297,plain,
% 1.23/1.45 (~P1(x2971,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(302,plain,
% 1.23/1.45 (~P1(x3021,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(304,plain,
% 1.23/1.45 (P4(x3041,f37(a3))+P1(f22(f37(a3),x3041),f37(a3))+P1(f23(f37(a3),x3041),f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,276,297,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147,92,91,119,110,102,136,135,133,132])).
% 1.23/1.45 cnf(306,plain,
% 1.23/1.45 (P1(f31(a3,a2),a2)+P1(f29(a3,a2),a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,218,220,223,226,229,235,261,265,276,297,302,81,82,83,85,88,101,100,99,113,61,126,104,146,176,2,163,121,117,116,115,107,106,95,90,175,105,68,103,111,108,122,120,114,109,172,148,147,92,91,119,110,102,136,135,133,132,130])).
% 1.23/1.45 cnf(310,plain,
% 1.23/1.45 (~P1(a2,f18(a3))),
% 1.23/1.45 inference(scs_inference,[],[264,98])).
% 1.23/1.45 cnf(312,plain,
% 1.23/1.45 (P1(a1,f21(a1,f34(a3)))),
% 1.23/1.45 inference(scs_inference,[],[269,264,98,112])).
% 1.23/1.45 cnf(316,plain,
% 1.23/1.45 (~P1(x3161,f28(a3,x3162))),
% 1.23/1.45 inference(rename_variables,[],[246])).
% 1.23/1.45 cnf(317,plain,
% 1.23/1.45 (~P1(x3171,f28(x3172,a3))),
% 1.23/1.45 inference(rename_variables,[],[248])).
% 1.23/1.45 cnf(319,plain,
% 1.23/1.45 (P8(f28(a3,a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[87,85,246,316,248,317,269,264,284,98,112,63,125,129])).
% 1.23/1.45 cnf(321,plain,
% 1.23/1.45 (~P1(x3211,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(324,plain,
% 1.23/1.45 (P1(f15(a2,a3),a2)),
% 1.23/1.45 inference(scs_inference,[],[87,85,246,316,248,317,269,264,284,98,112,63,125,129,99])).
% 1.23/1.45 cnf(326,plain,
% 1.23/1.45 (P1(f20(x3261,f18(a3)),f18(a3))),
% 1.23/1.45 inference(scs_inference,[],[87,85,246,316,248,317,267,269,264,284,98,112,63,125,129,99,105])).
% 1.23/1.45 cnf(328,plain,
% 1.23/1.45 (~P1(x3281,f34(f34(a3)))),
% 1.23/1.45 inference(scs_inference,[],[87,321,85,246,316,248,317,267,260,269,264,284,98,112,63,125,129,99,105,111])).
% 1.23/1.45 cnf(329,plain,
% 1.23/1.45 (P1(x3291,f34(a3))),
% 1.23/1.45 inference(rename_variables,[],[260])).
% 1.23/1.45 cnf(336,plain,
% 1.23/1.45 (~P8(a3,f34(a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,85,244,246,316,248,317,267,260,329,269,258,264,284,98,112,63,125,129,99,105,111,122,114,146])).
% 1.23/1.45 cnf(337,plain,
% 1.23/1.45 (~P1(x3371,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(339,plain,
% 1.23/1.45 (~P2(a12,a14,a16)),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,82,85,81,88,244,246,316,248,317,267,260,329,269,258,264,284,98,112,63,125,129,99,105,111,122,114,146,148])).
% 1.23/1.45 cnf(341,plain,
% 1.23/1.45 (P1(f19(a2,a2),a2)),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,82,85,81,88,244,246,316,248,317,267,260,329,269,258,264,284,292,98,112,63,125,129,99,105,111,122,114,146,148,101])).
% 1.23/1.45 cnf(346,plain,
% 1.23/1.45 (~P1(x3461,f7(x3462,a3,x3463))),
% 1.23/1.45 inference(rename_variables,[],[240])).
% 1.23/1.45 cnf(348,plain,
% 1.23/1.45 (~P1(x3481,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(349,plain,
% 1.23/1.45 (P9(x3491,f34(a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,337,82,85,81,88,240,244,246,316,248,317,267,260,329,269,258,239,264,284,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118])).
% 1.23/1.45 cnf(353,plain,
% 1.23/1.45 (~E(f28(a3,a3),f34(a3))),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,337,82,85,81,88,240,244,246,316,248,317,267,260,329,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67])).
% 1.23/1.45 cnf(354,plain,
% 1.23/1.45 (~E(f34(a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[79,87,321,337,82,85,81,88,240,244,246,316,248,317,267,260,329,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67,66])).
% 1.23/1.45 cnf(355,plain,
% 1.23/1.45 (P2(a11,a16,a13)),
% 1.23/1.45 inference(scs_inference,[],[79,80,86,87,321,337,82,85,81,88,240,244,246,316,248,317,267,260,329,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67,66,147])).
% 1.23/1.45 cnf(358,plain,
% 1.23/1.45 (~P1(x3581,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(359,plain,
% 1.23/1.45 (~P1(x3591,f7(x3592,a3,x3593))),
% 1.23/1.45 inference(rename_variables,[],[240])).
% 1.23/1.45 cnf(362,plain,
% 1.23/1.45 (~P1(x3621,f7(x3622,a3,x3623))),
% 1.23/1.45 inference(rename_variables,[],[240])).
% 1.23/1.45 cnf(363,plain,
% 1.23/1.45 (~P1(x3631,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(365,plain,
% 1.23/1.45 (P4(x3651,a3)+P1(f22(a3,x3651),a3)+P1(f24(a3,x3651),a3)),
% 1.23/1.45 inference(scs_inference,[],[79,80,86,87,321,337,348,358,363,82,85,81,88,240,346,359,244,246,316,248,317,267,260,329,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67,66,147,139,138,134])).
% 1.23/1.45 cnf(366,plain,
% 1.23/1.45 (~P1(x3661,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(368,plain,
% 1.23/1.45 (P4(x3681,f7(x3682,a3,x3683))+P1(f22(f7(x3682,a3,x3683),x3681),f7(x3682,a3,x3683))+P1(f24(f7(x3682,a3,x3683),x3681),f7(x3682,a3,x3683))),
% 1.23/1.45 inference(scs_inference,[],[79,80,86,87,321,337,348,358,363,82,85,81,88,240,346,359,362,244,246,316,248,317,267,260,329,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67,66,147,139,138,134,131])).
% 1.23/1.45 cnf(372,plain,
% 1.23/1.45 (~P1(x3721,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(374,plain,
% 1.23/1.45 (P4(x3741,a3)+~P1(f31(a3,a2),f22(a3,x3741))+~P9(f29(a3,a2),a2)+P1(f24(a3,x3741),a3)),
% 1.23/1.45 inference(scs_inference,[],[79,80,86,87,321,337,348,358,363,366,372,82,85,81,88,240,346,359,362,244,246,316,248,317,267,260,329,234,269,258,294,239,264,284,286,292,98,112,63,125,129,99,105,111,122,114,146,148,101,109,61,306,118,76,67,66,147,139,138,134,131,187,162])).
% 1.23/1.45 cnf(381,plain,
% 1.23/1.45 (P9(f37(a3),x3811)),
% 1.23/1.45 inference(scs_inference,[],[225,326,310,60,98,99])).
% 1.23/1.45 cnf(382,plain,
% 1.23/1.45 (~P1(x3821,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(384,plain,
% 1.23/1.45 (~E(a13,a14)),
% 1.23/1.45 inference(scs_inference,[],[86,225,326,310,339,60,98,99,63])).
% 1.23/1.45 cnf(385,plain,
% 1.23/1.45 (P2(a11,a13,a16)),
% 1.23/1.45 inference(scs_inference,[],[80,86,82,225,326,310,339,60,98,99,63,148])).
% 1.23/1.45 cnf(387,plain,
% 1.23/1.45 (P5(f37(a3),x3871)),
% 1.23/1.45 inference(scs_inference,[],[80,86,82,225,382,326,310,339,60,98,99,63,148,101])).
% 1.23/1.45 cnf(388,plain,
% 1.23/1.45 (~P1(x3881,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(390,plain,
% 1.23/1.45 (P1(x3901,f34(f37(a3)))),
% 1.23/1.45 inference(scs_inference,[],[80,86,82,225,382,388,326,310,339,60,98,99,63,148,101,105])).
% 1.23/1.45 cnf(396,plain,
% 1.23/1.45 (P2(a11,a13,a13)),
% 1.23/1.45 inference(scs_inference,[],[80,83,86,88,82,225,382,388,326,310,339,355,60,98,99,63,148,101,105,64,176,126])).
% 1.23/1.45 cnf(398,plain,
% 1.23/1.45 (~P1(x3981,f20(x3982,f18(a3)))),
% 1.23/1.45 inference(scs_inference,[],[80,83,86,87,88,82,225,382,388,326,310,339,355,60,98,99,63,148,101,105,64,176,126,103])).
% 1.23/1.45 cnf(404,plain,
% 1.23/1.45 (P1(f22(f7(x4041,a3,x4042),x4043),f7(x4041,a3,x4042))+P4(x4043,f7(x4041,a3,x4042))),
% 1.23/1.45 inference(scs_inference,[],[80,83,86,87,88,82,225,382,388,349,326,310,339,355,240,60,98,99,63,148,101,105,64,176,126,103,104,368])).
% 1.23/1.45 cnf(415,plain,
% 1.23/1.45 (P2(x4151,f19(a2,a2),f19(a2,a2))+P7(x4152,a3)+~P4(x4151,a2)+P1(f10(x4152,a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[80,83,86,87,88,81,82,341,225,382,388,349,326,310,339,355,240,60,98,99,63,148,101,105,64,176,126,103,104,368,167,128,193,192,125])).
% 1.23/1.45 cnf(424,plain,
% 1.23/1.45 (~E(f37(a3),a2)),
% 1.23/1.45 inference(scs_inference,[],[387,292,240,404,93,73])).
% 1.23/1.45 cnf(425,plain,
% 1.23/1.45 (~P8(f34(f37(a3)),a3)),
% 1.23/1.45 inference(scs_inference,[],[390,387,292,240,264,404,93,73,102])).
% 1.23/1.45 cnf(428,plain,
% 1.23/1.45 (~P9(a2,f20(x4281,f18(a3)))),
% 1.23/1.45 inference(scs_inference,[],[80,398,390,387,292,240,264,404,93,73,102,103])).
% 1.23/1.45 cnf(449,plain,
% 1.23/1.45 (~P1(x4491,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(451,plain,
% 1.23/1.45 (~P1(x4511,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(454,plain,
% 1.23/1.45 (~P1(x4541,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(459,plain,
% 1.23/1.45 (~P1(x4591,f20(x4591,f34(a3)))),
% 1.23/1.45 inference(scs_inference,[],[87,449,451,454,228,428,425,396,328,319,349,80,176,3,67,66,374,186,185,184,119])).
% 1.23/1.45 cnf(463,plain,
% 1.23/1.45 (P2(a11,a16,a16)),
% 1.23/1.45 inference(scs_inference,[],[83,82,385,355,80,192])).
% 1.23/1.45 cnf(465,plain,
% 1.23/1.45 (P4(x4651,a3)+P1(f24(a3,x4651),a3)),
% 1.23/1.45 inference(scs_inference,[],[83,87,82,385,355,80,192,365])).
% 1.23/1.45 cnf(466,plain,
% 1.23/1.45 (~P1(x4661,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(469,plain,
% 1.23/1.45 (~P9(f21(a1,f34(a3)),a3)),
% 1.23/1.45 inference(scs_inference,[],[81,83,87,466,82,385,312,355,80,192,365,121,103])).
% 1.23/1.45 cnf(470,plain,
% 1.23/1.45 (~P1(x4701,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(473,plain,
% 1.23/1.45 (~P1(x4731,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(475,plain,
% 1.23/1.45 (~P1(x4751,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(478,plain,
% 1.23/1.45 (~P1(x4781,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(481,plain,
% 1.23/1.45 (~P1(x4811,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(483,plain,
% 1.23/1.45 (~P1(f37(a3),f17(a2))),
% 1.23/1.45 inference(scs_inference,[],[81,83,87,466,470,473,475,478,82,424,385,312,355,80,192,365,121,103,415,179,178,160,90])).
% 1.23/1.45 cnf(492,plain,
% 1.23/1.45 (~P1(x4921,f36(a3,a3))),
% 1.23/1.45 inference(rename_variables,[],[271])).
% 1.23/1.45 cnf(494,plain,
% 1.23/1.45 (P8(f36(a3,a3),a3)+P1(f32(f36(a3,a3),a3),f36(a3,a3))),
% 1.23/1.45 inference(scs_inference,[],[81,83,87,466,470,473,475,478,481,82,424,385,312,242,271,492,355,80,192,365,121,103,415,179,178,160,90,163,116,115,113,129])).
% 1.23/1.45 cnf(498,plain,
% 1.23/1.45 (P8(f36(a3,a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[271,494])).
% 1.23/1.45 cnf(503,plain,
% 1.23/1.45 (P9(a3,x5031)),
% 1.23/1.45 inference(rename_variables,[],[222])).
% 1.23/1.45 cnf(504,plain,
% 1.23/1.45 (~P3(a3,f21(a1,f34(a3)))),
% 1.23/1.45 inference(scs_inference,[],[222,87,469,271,494,465,65,91])).
% 1.23/1.45 cnf(508,plain,
% 1.23/1.45 (P1(a16,f36(a2,x5081))),
% 1.23/1.45 inference(scs_inference,[],[82,222,87,483,469,271,494,465,65,91,117,107])).
% 1.23/1.45 cnf(510,plain,
% 1.23/1.45 (P1(a16,f36(x5101,a2))),
% 1.23/1.45 inference(scs_inference,[],[82,222,87,483,469,271,494,465,65,91,117,107,106])).
% 1.23/1.45 cnf(512,plain,
% 1.23/1.45 (P2(a11,a1,a16)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,83,87,483,469,385,271,80,79,494,465,65,91,117,107,106,192])).
% 1.23/1.45 cnf(514,plain,
% 1.23/1.45 (P1(a3,f18(x5141))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,483,469,385,271,80,79,494,465,65,91,117,107,106,192,95])).
% 1.23/1.45 cnf(516,plain,
% 1.23/1.45 (~P1(a14,f7(a16,x5161,a12))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,483,469,385,271,284,80,79,494,465,65,91,117,107,106,192,95,175])).
% 1.23/1.45 cnf(519,plain,
% 1.23/1.45 (~P1(x5191,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(521,plain,
% 1.23/1.45 (~P3(f21(a1,f34(a3)),a3)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,483,469,225,385,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92])).
% 1.23/1.45 cnf(523,plain,
% 1.23/1.45 (~E(f34(a3),f28(a3,a3))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,353,483,469,225,385,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92,2])).
% 1.23/1.45 cnf(524,plain,
% 1.23/1.45 (~P1(f21(a1,f34(a3)),f18(a3))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,353,483,469,225,385,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92,2,98])).
% 1.23/1.45 cnf(526,plain,
% 1.23/1.45 (P4(x5261,f37(a3))+P1(f23(f37(a3),x5261),f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,353,483,469,225,519,385,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92,2,98,304])).
% 1.23/1.45 cnf(527,plain,
% 1.23/1.45 (~P1(x5271,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(528,plain,
% 1.23/1.45 (~P1(f34(a3),f34(f37(a3)))+E(a2,f34(a3))+~P8(f34(f37(a3)),x5281)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,353,483,469,225,519,260,385,390,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92,2,98,304,128])).
% 1.23/1.45 cnf(535,plain,
% 1.23/1.45 (~P8(f37(a3),a2)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,503,83,87,459,353,483,469,225,519,527,260,385,390,271,284,80,79,494,465,65,91,117,107,106,192,95,175,100,92,2,98,304,128,109,60,146])).
% 1.23/1.45 cnf(547,plain,
% 1.23/1.45 (P4(x5471,f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[225,526])).
% 1.23/1.45 cnf(548,plain,
% 1.23/1.45 (~P1(x5481,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(549,plain,
% 1.23/1.45 (~P1(x5491,f34(f18(x5492)))),
% 1.23/1.45 inference(scs_inference,[],[87,514,225,526,111])).
% 1.23/1.45 cnf(550,plain,
% 1.23/1.45 (~P1(x5501,x5502)+~P1(x5503,f34(x5502))+P1(x5503,x5501)),
% 1.23/1.45 inference(rename_variables,[],[111])).
% 1.23/1.45 cnf(555,plain,
% 1.23/1.45 (P1(a16,f4(a2,a3))),
% 1.23/1.45 inference(scs_inference,[],[82,83,87,514,341,225,526,111,126,176,114])).
% 1.23/1.45 cnf(556,plain,
% 1.23/1.45 (~P1(x5561,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(559,plain,
% 1.23/1.45 (~P1(x5591,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(563,plain,
% 1.23/1.45 (~P1(x5631,a3)),
% 1.23/1.45 inference(rename_variables,[],[87])).
% 1.23/1.45 cnf(567,plain,
% 1.23/1.45 (P1(f20(a16,f18(x5671)),f18(x5671))),
% 1.23/1.45 inference(scs_inference,[],[82,83,87,556,559,384,514,516,341,225,526,111,126,176,114,61,109,146,122,105])).
% 1.23/1.45 cnf(571,plain,
% 1.23/1.45 (P3(f37(a3),a3)),
% 1.23/1.45 inference(scs_inference,[],[82,222,83,87,556,559,384,514,516,381,341,225,390,526,111,126,176,114,61,109,146,122,105,528,104])).
% 1.23/1.45 cnf(578,plain,
% 1.23/1.45 (~P1(x5781,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(588,plain,
% 1.23/1.45 (~P1(x5881,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(591,plain,
% 1.23/1.45 (P9(f4(a3,x5911),x5912)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,83,87,556,559,563,498,384,514,516,535,381,341,244,225,548,578,390,526,111,126,176,114,61,109,146,122,105,528,104,98,138,64,550,62,139,130,68,99])).
% 1.23/1.45 cnf(592,plain,
% 1.23/1.45 (~P1(x5921,f4(a3,x5922))),
% 1.23/1.45 inference(rename_variables,[],[244])).
% 1.23/1.45 cnf(594,plain,
% 1.23/1.45 (P1(f31(f37(a3),a2),a2)+P1(f29(f37(a3),a2),f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,83,87,556,559,563,498,384,514,516,535,381,341,244,225,548,578,588,390,526,111,126,176,114,61,109,146,122,105,528,104,98,138,64,550,62,139,130,68,99,129])).
% 1.23/1.45 cnf(597,plain,
% 1.23/1.45 (P5(f4(a3,x5971),x5972)),
% 1.23/1.45 inference(scs_inference,[],[82,84,222,83,87,556,559,563,498,384,514,516,535,381,341,244,592,225,548,578,588,390,526,111,126,176,114,61,109,146,122,105,528,104,98,138,64,550,62,139,130,68,99,129,101])).
% 1.23/1.45 cnf(605,plain,
% 1.23/1.45 (P1(f31(f37(a3),a2),a2)),
% 1.23/1.45 inference(scs_inference,[],[225,594])).
% 1.23/1.45 cnf(606,plain,
% 1.23/1.45 (~P1(x6061,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(615,plain,
% 1.23/1.45 (~P1(x6151,f28(x6152,a3))),
% 1.23/1.45 inference(rename_variables,[],[248])).
% 1.23/1.45 cnf(616,plain,
% 1.23/1.45 (~P1(x6161,f37(a3))),
% 1.23/1.45 inference(rename_variables,[],[225])).
% 1.23/1.45 cnf(619,plain,
% 1.23/1.45 (~E(f18(x6191),f37(a3))),
% 1.23/1.45 inference(scs_inference,[],[225,606,616,88,463,567,547,571,521,428,248,246,260,594,75,93,102,63,130,61])).
% 1.23/1.45 cnf(621,plain,
% 1.23/1.45 (P1(x6211,f34(f28(x6212,a3)))),
% 1.23/1.45 inference(scs_inference,[],[225,606,616,88,463,567,547,571,521,428,248,615,246,260,594,75,93,102,63,130,61,105])).
% 1.23/1.45 cnf(626,plain,
% 1.23/1.45 (P9(x6261,f34(f28(x6262,a3)))),
% 1.23/1.45 inference(scs_inference,[],[225,606,616,88,463,567,547,555,571,521,428,248,615,246,260,594,75,93,102,63,130,61,105,145,118])).
% 1.23/1.45 cnf(656,plain,
% 1.23/1.45 (~P2(a11,a14,a1)),
% 1.23/1.46 inference(scs_inference,[],[83,88,512,626,469,81,82,79,66,63,192])).
% 1.23/1.46 cnf(658,plain,
% 1.23/1.46 (P1(f20(x6581,f18(x6582)),f18(x6582))),
% 1.23/1.46 inference(scs_inference,[],[83,88,512,626,549,469,81,82,79,66,63,192,105])).
% 1.23/1.46 cnf(660,plain,
% 1.23/1.46 (P7(x6601,f37(a3))+P1(f9(x6601,f37(a3)),f37(a3))),
% 1.23/1.46 inference(scs_inference,[],[83,225,88,512,626,549,469,81,82,79,66,63,192,105,124])).
% 1.23/1.46 cnf(661,plain,
% 1.23/1.46 (~P1(x6611,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(669,plain,
% 1.23/1.46 (~P1(x6691,f28(x6692,f37(a3)))),
% 1.23/1.46 inference(scs_inference,[],[83,225,661,86,88,605,512,626,508,549,469,81,82,79,66,63,192,105,124,120,172,163,115])).
% 1.23/1.46 cnf(672,plain,
% 1.23/1.46 (~P1(x6721,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(674,plain,
% 1.23/1.46 (~P5(a2,f34(f28(x6741,a3)))),
% 1.23/1.46 inference(scs_inference,[],[83,225,661,86,88,605,512,621,626,508,549,469,81,82,79,66,63,192,105,124,120,172,163,115,113,110])).
% 1.23/1.46 cnf(682,plain,
% 1.23/1.46 (~P1(x6821,f28(f37(a3),x6822))),
% 1.23/1.46 inference(scs_inference,[],[83,85,225,661,672,86,88,605,354,512,621,626,504,508,549,469,81,82,79,66,63,192,105,124,120,172,163,115,113,110,147,75,90,121,116])).
% 1.23/1.46 cnf(686,plain,
% 1.23/1.46 (~P2(a12,a14,a1)),
% 1.23/1.46 inference(scs_inference,[],[83,85,225,661,672,86,88,605,354,512,621,626,504,508,549,469,81,82,79,66,63,192,105,124,120,172,163,115,113,110,147,75,90,121,116,193,148])).
% 1.23/1.46 cnf(689,plain,
% 1.23/1.46 (P8(a3,f37(a3))+P1(f29(a3,f37(a3)),a3)),
% 1.23/1.46 inference(scs_inference,[],[83,85,225,661,672,86,88,87,605,354,512,621,626,504,508,549,284,469,81,82,79,66,63,192,105,124,120,172,163,115,113,110,147,75,90,121,116,193,148,62,130])).
% 1.23/1.46 cnf(690,plain,
% 1.23/1.46 (~P1(x6901,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(694,plain,
% 1.23/1.46 (P8(f4(a3,x6941),f37(a3))+P1(f29(f4(a3,x6941),f37(a3)),f4(a3,x6941))),
% 1.23/1.46 inference(scs_inference,[],[83,85,225,661,672,690,86,88,87,605,354,512,621,626,504,508,521,549,244,284,469,81,82,79,66,63,192,105,124,120,172,163,115,113,110,147,75,90,121,116,193,148,62,130,76,129])).
% 1.23/1.46 cnf(703,plain,
% 1.23/1.46 (P8(a3,f37(a3))),
% 1.23/1.46 inference(scs_inference,[],[87,689])).
% 1.23/1.46 cnf(704,plain,
% 1.23/1.46 (~P1(x7041,a3)),
% 1.23/1.46 inference(rename_variables,[],[87])).
% 1.23/1.46 cnf(706,plain,
% 1.23/1.46 (~P1(x7061,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(710,plain,
% 1.23/1.46 (~P1(x7101,f28(x7102,a3))),
% 1.23/1.46 inference(rename_variables,[],[248])).
% 1.23/1.46 cnf(711,plain,
% 1.23/1.46 (~P1(x7111,f28(f37(a3),x7112))),
% 1.23/1.46 inference(rename_variables,[],[682])).
% 1.23/1.46 cnf(714,plain,
% 1.23/1.46 (~P1(x7141,f28(a3,x7142))),
% 1.23/1.46 inference(rename_variables,[],[246])).
% 1.23/1.46 cnf(715,plain,
% 1.23/1.46 (~P1(x7151,f28(x7152,f37(a3)))),
% 1.23/1.46 inference(rename_variables,[],[669])).
% 1.23/1.46 cnf(717,plain,
% 1.23/1.46 (P2(a11,f15(a2,a3),f15(a2,a3))),
% 1.23/1.46 inference(scs_inference,[],[219,225,87,669,682,674,324,248,246,83,689,660,74,123,125,126])).
% 1.23/1.46 cnf(720,plain,
% 1.23/1.46 (~P1(x7201,f28(x7202,a3))),
% 1.23/1.46 inference(rename_variables,[],[248])).
% 1.23/1.46 cnf(722,plain,
% 1.23/1.46 (~P1(x7221,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(727,plain,
% 1.23/1.46 (~P1(x7271,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(736,plain,
% 1.23/1.46 (P7(x7361,a3)+P1(f5(x7361,a3),a3)),
% 1.23/1.46 inference(scs_inference,[],[219,225,706,722,87,704,669,715,682,711,674,294,324,498,248,710,271,246,714,244,83,689,660,74,123,125,126,130,67,129,105,694,124])).
% 1.23/1.46 cnf(737,plain,
% 1.23/1.46 (~P1(x7371,a3)),
% 1.23/1.46 inference(rename_variables,[],[87])).
% 1.23/1.46 cnf(743,plain,
% 1.23/1.46 (P1(a16,f36(f36(x7431,a2),x7432))),
% 1.23/1.46 inference(scs_inference,[],[219,225,706,722,727,87,704,669,715,682,711,674,510,294,324,428,498,248,710,271,246,714,244,83,689,660,74,123,125,126,130,67,129,105,694,124,91,117,107])).
% 1.23/1.46 cnf(749,plain,
% 1.23/1.46 (~P1(a1,f7(a14,x7491,a11))),
% 1.23/1.46 inference(scs_inference,[],[219,85,225,706,722,727,87,704,658,669,715,682,711,674,656,510,294,324,428,498,248,710,271,246,714,244,83,81,79,689,660,74,123,125,126,130,67,129,105,694,124,91,117,107,106,147,102,175])).
% 1.23/1.46 cnf(762,plain,
% 1.23/1.46 (P1(f4(a3,x7621),f18(x7622))),
% 1.23/1.46 inference(scs_inference,[],[84,219,85,225,706,722,727,87,704,737,658,669,715,682,711,674,656,591,510,294,324,428,498,248,710,720,271,246,714,244,83,81,80,79,689,660,74,123,125,126,130,67,129,105,694,124,91,117,107,106,147,102,175,92,139,176,100,95])).
% 1.23/1.46 cnf(789,plain,
% 1.23/1.46 (~P1(x7891,f7(x7892,a3,x7893))),
% 1.23/1.46 inference(rename_variables,[],[240])).
% 1.23/1.46 cnf(793,plain,
% 1.23/1.46 (P9(f7(x7931,a3,x7932),x7933)),
% 1.23/1.46 inference(scs_inference,[],[87,717,523,749,597,250,674,240,789,324,736,176,116,73,108,101,109,99])).
% 1.23/1.46 cnf(822,plain,
% 1.23/1.46 (~P1(x8221,f37(a3))),
% 1.23/1.46 inference(rename_variables,[],[225])).
% 1.23/1.46 cnf(829,plain,
% 1.23/1.46 ($false),
% 1.23/1.46 inference(scs_inference,[],[85,222,225,822,793,619,686,743,703,762,524,336,656,81,79,167,104,109,146,122,68,60,147]),
% 1.23/1.46 ['proof']).
% 1.23/1.46 % SZS output end Proof
% 1.23/1.46 % Total time :0.800000s
%------------------------------------------------------------------------------