TSTP Solution File: GEO205+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:43:39 EDT 2023
% Result : Theorem 2.65s 2.76s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 21:07:53 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 2.65/2.76 %-------------------------------------------
% 2.65/2.76 % File :CSE---1.6
% 2.65/2.76 % Problem :theBenchmark
% 2.65/2.76 % Transform :cnf
% 2.65/2.76 % Format :tptp:raw
% 2.65/2.76 % Command :java -jar mcs_scs.jar %d %s
% 2.65/2.76
% 2.65/2.76 % Result :Theorem 2.150000s
% 2.65/2.76 % Output :CNFRefutation 2.150000s
% 2.65/2.76 %-------------------------------------------
% 2.65/2.76 %------------------------------------------------------------------------------
% 2.65/2.76 % File : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% 2.65/2.76 % Domain : Geometry (Constructive)
% 2.65/2.76 % Problem : Convergent lines and equal points
% 2.65/2.76 % Version : [vPl95] axioms.
% 2.65/2.76 % English : If the lines X and Y are convergent, and Y and Z are
% 2.65/2.76 % equivalent, then X and Z are convergent, and the intersection
% 2.65/2.76 % point of X and Y, and the intersection point of X and Z are
% 2.65/2.76 % equal.
% 2.65/2.76
% 2.65/2.76 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 2.65/2.76 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 2.65/2.76 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 2.65/2.76 % Source : [Rat07]
% 2.65/2.76 % Names : Theorem 5.6 [vPl95]
% 2.65/2.76
% 2.65/2.76 % Status : Theorem
% 2.65/2.76 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.33 v5.4.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.30 v4.1.0, 0.39 v4.0.1, 0.32 v4.0.0
% 2.65/2.76 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 2.65/2.76 % Number of atoms : 97 ( 0 equ)
% 2.65/2.76 % Maximal formula atoms : 6 ( 2 avg)
% 2.65/2.76 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 2.65/2.76 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 2.65/2.76 % Maximal formula depth : 9 ( 5 avg)
% 2.65/2.76 % Maximal term depth : 2 ( 1 avg)
% 2.65/2.76 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 2.65/2.76 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 2.65/2.76 % Number of variables : 84 ( 84 !; 0 ?)
% 2.65/2.76 % SPC : FOF_THM_RFO_NEQ
% 2.65/2.76
% 2.65/2.76 % Comments :
% 2.65/2.76 %------------------------------------------------------------------------------
% 2.65/2.76 include('Axioms/GEO006+0.ax').
% 2.65/2.76 include('Axioms/GEO006+1.ax').
% 2.65/2.76 include('Axioms/GEO006+2.ax').
% 2.65/2.76 include('Axioms/GEO006+3.ax').
% 2.65/2.76 include('Axioms/GEO006+4.ax').
% 2.65/2.76 include('Axioms/GEO006+5.ax').
% 2.65/2.76 include('Axioms/GEO006+6.ax').
% 2.65/2.76 %------------------------------------------------------------------------------
% 2.65/2.76 fof(con,conjecture,
% 2.65/2.76 ! [X,Y,Z] :
% 2.65/2.76 ( ( convergent_lines(X,Y)
% 2.65/2.76 & equal_lines(Y,Z) )
% 2.65/2.76 => ( convergent_lines(X,Z)
% 2.65/2.76 & equal_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ).
% 2.65/2.76
% 2.65/2.76 %------------------------------------------------------------------------------
% 2.65/2.76 %-------------------------------------------
% 2.65/2.76 % Proof found
% 2.65/2.76 % SZS status Theorem for theBenchmark
% 2.65/2.76 % SZS output start Proof
% 2.65/2.76 %ClaNum:49(EqnAxiom:0)
% 2.65/2.76 %VarNum:218(SingletonVarNum:98)
% 2.65/2.76 %MaxLitNum:6
% 2.65/2.76 %MaxfuncDepth:1
% 2.65/2.76 %SharedTerms:9
% 2.65/2.76 %goalClause: 1 2 48
% 2.65/2.76 %singleGoalClaCount:2
% 2.65/2.76 [1]P1(a1,a2)
% 2.65/2.76 [2]P3(a2,a3)
% 2.65/2.76 [3]~P4(x31,x31)
% 2.65/2.76 [4]~P5(x41,x41)
% 2.65/2.76 [5]~P1(x51,x51)
% 2.65/2.76 [6]~P2(x61,f4(x62,x61))
% 2.65/2.76 [7]~P2(x71,f5(x72,x71))
% 2.65/2.76 [8]~P1(f4(x81,x82),x81)
% 2.65/2.76 [9]~P6(f5(x91,x92),x91)
% 2.65/2.76 [48]~P1(a1,a3)+~P7(f6(a1,a2),f6(a1,a3))
% 2.65/2.76 [10]P7(x101,x102)+P4(x101,x102)
% 2.65/2.76 [11]P3(x111,x112)+P5(x111,x112)
% 2.65/2.76 [13]P6(x131,x132)+P1(x131,x132)
% 2.65/2.76 [14]P8(x141,x142)+P1(x141,x142)
% 2.65/2.76 [15]P9(x151,x152)+P2(x151,x152)
% 2.65/2.76 [16]P10(x161,x162)+P6(x161,x162)
% 2.65/2.76 [17]~P5(x171,x172)+P1(x171,x172)
% 2.65/2.76 [20]~P7(x201,x202)+~P4(x201,x202)
% 2.65/2.76 [21]~P3(x211,x212)+~P5(x211,x212)
% 2.65/2.76 [22]~P8(x221,x222)+~P1(x221,x222)
% 2.65/2.76 [23]~P9(x231,x232)+~P2(x231,x232)
% 2.65/2.76 [24]~P10(x241,x242)+~P6(x241,x242)
% 2.65/2.76 [44]~P4(x441,x442)+~P2(x442,f7(x441,x442))
% 2.65/2.76 [45]~P4(x451,x452)+~P2(x451,f7(x451,x452))
% 2.65/2.76 [46]~P1(x461,x462)+~P2(f6(x461,x462),x462)
% 2.65/2.76 [47]~P1(x471,x472)+~P2(f6(x471,x472),x471)
% 2.65/2.76 [18]~P12(x182)+~P11(x181)+P11(f4(x181,x182))
% 2.65/2.76 [19]~P12(x192)+~P11(x191)+P11(f5(x191,x192))
% 2.65/2.76 [25]~P4(x253,x251)+P4(x251,x252)+P4(x253,x252)
% 2.65/2.76 [26]~P2(x261,x263)+P4(x261,x262)+P2(x262,x263)
% 2.65/2.76 [27]~P5(x273,x271)+P5(x271,x272)+P5(x273,x272)
% 2.65/2.76 [28]~P1(x283,x281)+P5(x281,x282)+P1(x283,x282)
% 2.65/2.77 [29]~P2(x293,x291)+P5(x291,x292)+P2(x293,x292)
% 2.65/2.77 [30]~P1(x303,x301)+P1(x301,x302)+P1(x303,x302)
% 2.65/2.77 [31]~P1(x313,x312)+P6(x311,x312)+P6(x311,x313)
% 2.65/2.77 [33]~P11(x332)+~P11(x331)+~P1(x331,x332)+P12(f6(x331,x332))
% 2.65/2.77 [34]~P12(x342)+~P12(x341)+~P4(x341,x342)+P11(f7(x341,x342))
% 2.65/2.77 [36]~P1(x361,x363)+~P6(x361,x363)+P1(x361,x362)+P6(x363,x362)
% 2.65/2.77 [37]~P1(x372,x373)+~P6(x372,x373)+P1(x371,x372)+P1(x371,x373)
% 2.65/2.77 [38]~P1(x382,x383)+~P6(x382,x383)+P1(x381,x382)+P6(x381,x383)
% 2.65/2.77 [39]~P1(x393,x391)+~P6(x393,x391)+P1(x391,x392)+P6(x393,x392)
% 2.65/2.77 [40]~P1(x403,x402)+~P6(x403,x402)+P1(x401,x402)+P6(x401,x403)
% 2.65/2.77 [41]~P1(x411,x413)+~P6(x411,x413)+P6(x411,x412)+P6(x413,x412)
% 2.65/2.77 [43]P6(x433,x434)+~P5(x433,x432)+P2(x431,x432)+P2(x431,x433)+P6(x432,x434)
% 2.65/2.77 [49]P2(x494,x493)+~P4(x494,x491)+~P5(x493,x492)+P2(x491,x492)+P2(x491,x493)+P2(x494,x492)
% 2.65/2.77 %EqnAxiom
% 2.65/2.77
% 2.65/2.77 %-------------------------------------------
% 2.65/2.77 cnf(51,plain,
% 2.65/2.77 (~P5(f4(x511,x512),x511)),
% 2.65/2.77 inference(scs_inference,[],[1,8,22,17])).
% 2.65/2.77 cnf(64,plain,
% 2.65/2.77 (P6(f5(a1,x641),a2)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,6,8,9,22,17,16,15,14,13,11,10,31])).
% 2.65/2.77 cnf(67,plain,
% 2.65/2.77 (P1(a2,a1)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,6,8,9,22,17,16,15,14,13,11,10,31,30])).
% 2.65/2.77 cnf(68,plain,
% 2.65/2.77 (~P1(x681,x681)),
% 2.65/2.77 inference(rename_variables,[],[5])).
% 2.65/2.77 cnf(70,plain,
% 2.65/2.77 (P5(a2,a1)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,68,6,8,9,22,17,16,15,14,13,11,10,31,30,28])).
% 2.65/2.77 cnf(73,plain,
% 2.65/2.77 (P5(a1,a2)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,68,6,8,9,22,17,16,15,14,13,11,10,31,30,28,27])).
% 2.65/2.77 cnf(75,plain,
% 2.65/2.77 (~P5(a2,a3)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,68,2,6,8,9,22,17,16,15,14,13,11,10,31,30,28,27,21])).
% 2.65/2.77 cnf(77,plain,
% 2.65/2.77 (~P2(f6(a1,a2),a1)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,68,2,6,8,9,22,17,16,15,14,13,11,10,31,30,28,27,21,47])).
% 2.65/2.77 cnf(79,plain,
% 2.65/2.77 (~P2(f6(a1,a2),a2)),
% 2.65/2.77 inference(scs_inference,[],[1,3,4,5,68,2,6,8,9,22,17,16,15,14,13,11,10,31,30,28,27,21,47,46])).
% 2.65/2.77 cnf(102,plain,
% 2.65/2.77 (P1(f5(x1021,x1022),x1021)),
% 2.65/2.77 inference(scs_inference,[],[9,70,21,13])).
% 2.65/2.77 cnf(104,plain,
% 2.65/2.77 (P6(f5(a2,x1041),a1)),
% 2.65/2.77 inference(scs_inference,[],[1,9,70,21,13,31])).
% 2.65/2.77 cnf(105,plain,
% 2.65/2.77 (~P6(f5(x1051,x1052),x1051)),
% 2.65/2.77 inference(rename_variables,[],[9])).
% 2.65/2.77 cnf(107,plain,
% 2.65/2.77 (~P5(x1071,f4(x1071,x1072))),
% 2.65/2.77 inference(scs_inference,[],[1,9,4,51,70,21,13,31,27])).
% 2.65/2.77 cnf(108,plain,
% 2.65/2.77 (~P5(f4(x1081,x1082),x1081)),
% 2.65/2.77 inference(rename_variables,[],[51])).
% 2.65/2.77 cnf(110,plain,
% 2.65/2.77 (P6(f4(x1101,x1102),x1103)+~P5(f5(x1103,x1102),f4(x1101,x1102))),
% 2.65/2.77 inference(scs_inference,[],[1,7,9,105,4,6,51,70,21,13,31,27,43])).
% 2.65/2.77 cnf(114,plain,
% 2.65/2.77 (~P1(f4(x1141,x1142),f4(x1141,x1143))),
% 2.65/2.77 inference(scs_inference,[],[1,7,8,9,105,4,6,51,108,70,21,13,31,27,43,28])).
% 2.65/2.77 cnf(135,plain,
% 2.65/2.77 (P6(f4(x1351,x1352),x1351)),
% 2.65/2.77 inference(scs_inference,[],[8,13])).
% 2.65/2.77 cnf(137,plain,
% 2.65/2.77 (P1(f5(f4(x1371,x1372),x1373),x1371)),
% 2.65/2.77 inference(scs_inference,[],[8,102,13,30])).
% 2.65/2.77 cnf(138,plain,
% 2.65/2.77 (P1(f5(x1381,x1382),x1381)),
% 2.65/2.77 inference(rename_variables,[],[102])).
% 2.65/2.77 cnf(140,plain,
% 2.65/2.77 (P5(x1401,f5(x1401,x1402))),
% 2.65/2.77 inference(scs_inference,[],[8,5,102,138,13,30,28])).
% 2.65/2.77 cnf(143,plain,
% 2.65/2.77 (P5(f5(x1431,x1432),x1431)),
% 2.65/2.77 inference(scs_inference,[],[8,4,5,102,138,13,30,28,27])).
% 2.65/2.77 cnf(145,plain,
% 2.65/2.77 (P1(x1451,f5(x1451,x1452))),
% 2.65/2.77 inference(scs_inference,[],[8,4,5,102,138,13,30,28,27,17])).
% 2.65/2.77 cnf(149,plain,
% 2.65/2.77 (P6(a1,x1491)+P6(a2,x1491)),
% 2.65/2.77 inference(scs_inference,[],[8,4,5,102,138,79,77,73,70,13,30,28,27,17,21,43])).
% 2.65/2.77 cnf(151,plain,
% 2.65/2.77 (~P6(f5(x1511,x1512),f4(x1511,x1513))+~P1(f5(x1511,x1512),f4(x1511,x1513))),
% 2.65/2.77 inference(scs_inference,[],[8,4,9,5,102,138,79,77,73,70,13,30,28,27,17,21,43,39])).
% 2.65/2.77 cnf(152,plain,
% 2.65/2.77 (~P6(f5(x1521,x1522),x1521)),
% 2.65/2.77 inference(rename_variables,[],[9])).
% 2.65/2.77 cnf(155,plain,
% 2.65/2.77 (~P1(f4(x1551,x1552),x1551)),
% 2.65/2.77 inference(rename_variables,[],[8])).
% 2.65/2.77 cnf(157,plain,
% 2.65/2.77 (~P6(f4(x1571,x1572),f5(x1571,x1573))+~P1(f4(x1571,x1572),f5(x1571,x1573))),
% 2.65/2.77 inference(scs_inference,[],[8,155,4,9,152,5,102,138,67,79,77,73,70,13,30,28,27,17,21,43,39,40,36])).
% 2.65/2.77 cnf(160,plain,
% 2.65/2.77 (P1(x1601,f5(f4(x1601,x1602),x1603))),
% 2.65/2.77 inference(scs_inference,[],[5,137,30])).
% 2.65/2.77 cnf(161,plain,
% 2.65/2.77 (~P1(x1611,x1611)),
% 2.65/2.77 inference(rename_variables,[],[5])).
% 2.65/2.77 cnf(165,plain,
% 2.65/2.77 (~P6(x1651,f5(x1651,x1652))),
% 2.65/2.77 inference(scs_inference,[],[5,161,9,145,137,114,30,17,40])).
% 2.65/2.77 cnf(166,plain,
% 2.65/2.77 (~P1(x1661,x1661)),
% 2.65/2.77 inference(rename_variables,[],[5])).
% 2.65/2.77 cnf(169,plain,
% 2.65/2.77 (P6(a2,f5(a1,x1691))),
% 2.65/2.77 inference(scs_inference,[],[5,161,9,145,137,114,30,17,40,149])).
% 2.65/2.77 cnf(172,plain,
% 2.65/2.77 (~P1(x1721,x1721)),
% 2.65/2.77 inference(rename_variables,[],[5])).
% 2.65/2.77 cnf(174,plain,
% 2.65/2.77 (~P1(a3,a2)),
% 2.65/2.77 inference(scs_inference,[],[5,161,166,172,9,8,145,137,75,114,30,17,40,149,37,28])).
% 2.65/2.77 cnf(181,plain,
% 2.65/2.77 (P5(f5(x1811,x1812),f4(x1811,x1813))),
% 2.65/2.77 inference(scs_inference,[],[7,5,161,166,172,9,8,107,140,143,145,137,75,114,77,30,17,40,149,37,28,43,27])).
% 2.65/2.77 cnf(188,plain,
% 2.65/2.77 (~P6(x1881,f5(x1881,x1882))),
% 2.65/2.77 inference(rename_variables,[],[165])).
% 2.65/2.77 cnf(190,plain,
% 2.65/2.77 (~P1(x1901,f5(f5(x1901,x1902),x1903))),
% 2.65/2.77 inference(scs_inference,[],[9,165,188,149,31])).
% 2.65/2.77 cnf(191,plain,
% 2.65/2.77 (~P6(x1911,f5(x1911,x1912))),
% 2.65/2.77 inference(rename_variables,[],[165])).
% 2.65/2.77 cnf(193,plain,
% 2.65/2.77 (P1(f5(x1931,x1932),f4(x1931,x1933))),
% 2.65/2.77 inference(scs_inference,[],[9,165,188,181,149,31,17])).
% 2.65/2.77 cnf(195,plain,
% 2.65/2.77 (P5(f5(f4(x1951,x1952),x1953),x1951)),
% 2.65/2.77 inference(scs_inference,[],[5,9,165,188,160,181,149,31,17,28])).
% 2.65/2.77 cnf(196,plain,
% 2.65/2.77 (~P1(x1961,x1961)),
% 2.65/2.77 inference(rename_variables,[],[5])).
% 2.65/2.77 cnf(198,plain,
% 2.65/2.77 (~P6(x1981,f5(f4(x1981,x1982),x1983))),
% 2.65/2.77 inference(scs_inference,[],[5,9,8,165,188,191,160,181,149,31,17,28,38])).
% 2.65/2.77 cnf(199,plain,
% 2.65/2.77 (~P1(f4(x1991,x1992),x1991)),
% 2.65/2.77 inference(rename_variables,[],[8])).
% 2.65/2.77 cnf(200,plain,
% 2.65/2.77 (~P6(x2001,f5(x2001,x2002))),
% 2.65/2.77 inference(rename_variables,[],[165])).
% 2.65/2.77 cnf(220,plain,
% 2.65/2.77 (~P6(f5(f5(x2201,x2202),x2203),x2201)+~P1(f5(f5(x2201,x2202),x2203),x2201)),
% 2.65/2.77 inference(scs_inference,[],[51,7,5,9,8,199,135,165,188,191,200,160,181,102,149,31,17,28,38,22,16,24,11,29,15,47,46,14,41])).
% 2.65/2.77 cnf(221,plain,
% 2.65/2.77 (~P6(f5(x2211,x2212),x2211)),
% 2.65/2.77 inference(rename_variables,[],[9])).
% 2.65/2.77 cnf(223,plain,
% 2.65/2.77 (P5(f5(a2,x2231),a3)),
% 2.65/2.77 inference(scs_inference,[],[51,7,5,9,8,199,135,165,188,191,200,160,181,102,143,75,149,31,17,28,38,22,16,24,11,29,15,47,46,14,41,27])).
% 2.65/2.77 cnf(225,plain,
% 2.65/2.77 (~P6(f5(x2251,x2252),f4(x2251,x2253))),
% 2.65/2.77 inference(scs_inference,[],[51,7,5,9,8,199,135,165,188,191,200,160,181,102,143,75,149,31,17,28,38,22,16,24,11,29,15,47,46,14,41,27,151])).
% 2.65/2.77 cnf(229,plain,
% 2.65/2.77 (~P1(x2291,f4(x2291,x2292))),
% 2.65/2.77 inference(scs_inference,[],[51,7,5,196,9,8,199,135,165,188,191,200,160,181,102,143,75,149,31,17,28,38,22,16,24,11,29,15,47,46,14,41,27,151,110,30])).
% 2.65/2.77 cnf(234,plain,
% 2.65/2.77 (~P6(a1,a2)+P6(a2,a1)),
% 2.65/2.77 inference(scs_inference,[],[51,7,5,196,9,221,8,199,135,165,188,191,200,160,181,102,143,75,1,149,31,17,28,38,22,16,24,11,29,15,47,46,14,41,27,151,110,30,43,36])).
% 2.65/2.77 cnf(240,plain,
% 2.65/2.77 (P6(f5(f5(x2401,x2402),x2403),f4(x2401,x2404))),
% 2.65/2.77 inference(scs_inference,[],[9,193,198,149,31])).
% 2.65/2.77 cnf(243,plain,
% 2.65/2.77 (~P5(x2431,f5(f5(x2431,x2432),x2433))),
% 2.65/2.77 inference(scs_inference,[],[9,190,193,198,149,31,17])).
% 2.65/2.77 cnf(245,plain,
% 2.65/2.77 (P1(f4(x2451,x2452),f5(x2451,x2453))),
% 2.65/2.77 inference(scs_inference,[],[5,9,190,193,198,149,31,17,30])).
% 2.65/2.77 cnf(248,plain,
% 2.65/2.77 (P5(x2481,f5(f4(x2481,x2482),x2483))),
% 2.65/2.77 inference(scs_inference,[],[4,5,9,190,193,195,198,149,31,17,30,27])).
% 2.65/2.77 cnf(265,plain,
% 2.65/2.77 (~P6(f4(x2651,x2652),f5(x2651,x2653))),
% 2.65/2.77 inference(scs_inference,[],[245,157])).
% 2.65/2.77 cnf(267,plain,
% 2.65/2.77 (~P5(f5(f5(x2671,x2672),x2673),f4(x2671,x2673))),
% 2.65/2.77 inference(scs_inference,[],[245,157,110])).
% 2.65/2.77 cnf(269,plain,
% 2.65/2.77 (P6(a1,f5(f4(a2,x2691),x2692))),
% 2.65/2.77 inference(scs_inference,[],[245,198,157,110,149])).
% 2.65/2.77 cnf(270,plain,
% 2.65/2.77 (~P6(x2701,f5(f4(x2701,x2702),x2703))),
% 2.65/2.77 inference(rename_variables,[],[198])).
% 2.65/2.78 cnf(275,plain,
% 2.65/2.78 (P1(f5(a2,x2751),a3)),
% 2.65/2.78 inference(scs_inference,[],[9,245,223,198,145,157,110,149,31,17])).
% 2.65/2.78 cnf(277,plain,
% 2.65/2.78 (~P1(f5(f5(x2771,x2772),x2773),x2771)),
% 2.65/2.78 inference(scs_inference,[],[9,245,223,198,145,157,110,149,31,17,220])).
% 2.65/2.78 cnf(284,plain,
% 2.65/2.78 (~P1(x2841,x2841)),
% 2.65/2.78 inference(rename_variables,[],[5])).
% 2.65/2.78 cnf(286,plain,
% 2.65/2.78 (~P5(f5(f5(x2861,x2862),x2863),x2861)),
% 2.65/2.78 inference(scs_inference,[],[4,5,9,229,243,245,248,223,198,145,157,110,149,31,17,220,13,21,37,27])).
% 2.65/2.78 cnf(289,plain,
% 2.65/2.78 (~P2(x2891,x2892)),
% 2.65/2.78 inference(scs_inference,[],[4,7,5,9,229,243,245,248,223,198,145,157,110,149,31,17,220,13,21,37,27,29])).
% 2.65/2.78 cnf(297,plain,
% 2.65/2.78 (~P1(x2971,x2971)),
% 2.65/2.78 inference(rename_variables,[],[5])).
% 2.65/2.78 cnf(299,plain,
% 2.65/2.78 (~P6(f5(f4(x2991,x2992),x2993),x2991)),
% 2.65/2.78 inference(scs_inference,[],[4,7,5,284,297,9,229,243,245,248,240,223,225,198,270,145,137,157,110,149,31,17,220,13,21,37,27,29,38,40,36])).
% 2.65/2.78 cnf(303,plain,
% 2.65/2.78 (~P5(a3,a2)),
% 2.65/2.78 inference(scs_inference,[],[174,17])).
% 2.65/2.78 cnf(305,plain,
% 2.65/2.78 (P5(f5(f4(x3051,x3052),x3053),f4(x3051,x3054))),
% 2.65/2.78 inference(scs_inference,[],[174,248,107,17,27])).
% 2.65/2.78 cnf(319,plain,
% 2.65/2.78 (P1(f4(f5(x3191,x3192),x3193),f4(x3191,x3194))),
% 2.65/2.78 inference(scs_inference,[],[267,245,28])).
% 2.65/2.78 cnf(322,plain,
% 2.65/2.78 (P1(f5(f4(x3221,x3222),x3223),f4(x3221,x3224))),
% 2.65/2.78 inference(scs_inference,[],[267,305,245,28,17])).
% 2.65/2.78 cnf(324,plain,
% 2.65/2.78 (P5(a2,f5(f5(a1,x3241),x3242))),
% 2.65/2.78 inference(scs_inference,[],[267,305,245,243,70,28,17,27])).
% 2.65/2.78 cnf(327,plain,
% 2.65/2.78 (~P6(f4(f5(x3271,x3272),x3273),f4(x3271,x3274))),
% 2.65/2.78 inference(scs_inference,[],[8,267,305,265,245,243,70,28,17,27,36])).
% 2.65/2.78 cnf(353,plain,
% 2.65/2.78 (~P1(a2,a3)),
% 2.65/2.78 inference(scs_inference,[],[5,303,28])).
% 2.65/2.78 cnf(354,plain,
% 2.65/2.78 (~P1(x3541,x3541)),
% 2.65/2.78 inference(rename_variables,[],[5])).
% 2.65/2.78 cnf(356,plain,
% 2.65/2.78 (P6(f5(f4(x3561,x3562),x3563),f5(x3561,x3564))),
% 2.65/2.78 inference(scs_inference,[],[5,9,303,193,28,31])).
% 2.65/2.78 cnf(357,plain,
% 2.65/2.78 (~P6(f5(x3571,x3572),x3571)),
% 2.65/2.78 inference(rename_variables,[],[9])).
% 2.65/2.78 cnf(359,plain,
% 2.65/2.78 (~P6(f5(f4(x3591,x3592),x3593),f4(x3591,x3594))),
% 2.65/2.78 inference(scs_inference,[],[5,9,322,303,229,198,193,28,31,40])).
% 2.65/2.78 cnf(360,plain,
% 2.65/2.78 (~P6(x3601,f5(f4(x3601,x3602),x3603))),
% 2.65/2.78 inference(rename_variables,[],[198])).
% 2.65/2.78 cnf(363,plain,
% 2.65/2.78 (~P5(f4(x3631,x3632),f5(f5(x3631,x3633),x3634))),
% 2.65/2.78 inference(scs_inference,[],[5,51,9,286,322,303,229,198,193,28,31,40,27])).
% 2.65/2.78 cnf(369,plain,
% 2.65/2.78 (P2(x3691,f5(x3692,x3693))+~P5(f5(x3692,x3693),f5(f4(x3692,x3694),x3695))),
% 2.65/2.78 inference(scs_inference,[],[5,51,9,357,286,322,303,104,229,289,299,198,360,193,28,31,40,27,36,43])).
% 2.65/2.78 cnf(373,plain,
% 2.65/2.78 (P1(f4(x3731,x3732),f4(f5(x3731,x3733),x3734))),
% 2.65/2.78 inference(scs_inference,[],[5,354,51,9,357,286,319,322,303,104,229,289,299,198,360,193,28,31,40,27,36,43,30])).
% 2.65/2.78 cnf(376,plain,
% 2.65/2.78 (~P5(f5(x3761,x3762),f5(f4(x3761,x3763),x3764))),
% 2.65/2.78 inference(scs_inference,[],[289,369])).
% 2.65/2.78 cnf(379,plain,
% 2.65/2.78 (P5(f4(f5(x3791,x3792),x3793),x3791)),
% 2.65/2.78 inference(scs_inference,[],[8,373,289,369,28])).
% 2.65/2.78 cnf(380,plain,
% 2.65/2.78 (~P1(f4(x3801,x3802),x3801)),
% 2.65/2.78 inference(rename_variables,[],[8])).
% 2.65/2.78 cnf(382,plain,
% 2.65/2.78 (P1(f4(f5(x3821,x3822),x3823),x3821)),
% 2.65/2.78 inference(scs_inference,[],[8,380,373,319,289,369,28,30])).
% 2.65/2.78 cnf(385,plain,
% 2.65/2.78 (P5(f5(a3,x3851),a2)),
% 2.65/2.78 inference(scs_inference,[],[8,380,373,303,319,140,289,369,28,30,27])).
% 2.65/2.78 cnf(388,plain,
% 2.65/2.78 (P6(a2,a3)),
% 2.65/2.78 inference(scs_inference,[],[8,380,373,353,303,319,140,289,369,28,30,27,13])).
% 2.65/2.78 cnf(392,plain,
% 2.65/2.78 (~P6(f4(x3921,x3922),f4(f5(x3921,x3923),x3924))),
% 2.65/2.78 inference(scs_inference,[],[8,380,373,324,353,303,319,140,265,289,369,28,30,27,13,21,39])).
% 2.65/2.78 cnf(394,plain,
% 2.65/2.78 (~P1(f4(x3941,x3942),x3941)),
% 2.65/2.78 inference(rename_variables,[],[8])).
% 2.65/2.78 cnf(396,plain,
% 2.65/2.78 (~P1(f5(f4(x3961,x3962),x3963),f5(x3961,x3964))),
% 2.65/2.78 inference(scs_inference,[],[8,380,9,356,373,324,353,303,319,140,265,299,289,369,28,30,27,13,21,39,41])).
% 2.65/2.78 cnf(398,plain,
% 2.65/2.78 (~P6(f5(x3981,x3982),x3981)),
% 2.65/2.78 inference(rename_variables,[],[9])).
% 2.65/2.78 cnf(403,plain,
% 2.65/2.78 (~P5(f5(f4(x4031,x4032),x4033),f5(x4031,x4034))),
% 2.65/2.78 inference(scs_inference,[],[8,380,394,9,356,373,324,353,303,319,140,265,229,299,289,369,28,30,27,13,21,39,41,37,17])).
% 2.65/2.78 cnf(409,plain,
% 2.65/2.78 (~P1(f4(x4091,x4092),x4091)),
% 2.65/2.78 inference(rename_variables,[],[8])).
% 2.65/2.78 cnf(411,plain,
% 2.65/2.78 (~P6(f4(f4(x4111,x4112),x4113),f5(x4111,x4114))+~P1(f4(f4(x4111,x4112),x4113),f5(x4111,x4114))),
% 2.65/2.78 inference(scs_inference,[],[8,380,394,409,9,398,356,373,324,353,169,303,319,140,265,225,229,299,289,275,369,28,30,27,13,21,39,41,37,17,38,40,36])).
% 2.65/2.78 cnf(414,plain,
% 2.65/2.78 (P1(f4(x4141,x4142),f5(f4(x4141,x4143),x4144))),
% 2.65/2.78 inference(scs_inference,[],[376,245,28])).
% 2.65/2.78 cnf(417,plain,
% 2.65/2.78 (~P1(f4(x4171,x4172),f5(f5(x4171,x4173),x4174))),
% 2.65/2.78 inference(scs_inference,[],[8,376,277,245,28,30])).
% 2.65/2.78 cnf(420,plain,
% 2.65/2.78 (P1(f5(a3,x4201),a2)),
% 2.65/2.78 inference(scs_inference,[],[8,376,385,277,245,28,30,17])).
% 2.65/2.78 cnf(422,plain,
% 2.65/2.78 (P5(a1,a3)),
% 2.65/2.78 inference(scs_inference,[],[8,376,385,277,75,245,73,28,30,17,27])).
% 2.65/2.78 cnf(424,plain,
% 2.65/2.78 (~P6(f4(f5(x4241,x4242),x4243),x4241)),
% 2.65/2.78 inference(scs_inference,[],[8,382,376,385,277,75,245,73,165,28,30,17,27,36])).
% 2.65/2.78 cnf(449,plain,
% 2.65/2.78 (~P6(f4(x4491,x4492),f5(f4(x4491,x4493),x4494))),
% 2.65/2.78 inference(scs_inference,[],[414,396,265,39])).
% 2.65/2.78 cnf(450,plain,
% 2.65/2.78 (~P1(f5(f4(x4501,x4502),x4503),f5(x4501,x4504))),
% 2.65/2.78 inference(rename_variables,[],[396])).
% 2.65/2.78 cnf(451,plain,
% 2.65/2.78 (P1(f4(x4511,x4512),f5(f4(x4511,x4513),x4514))),
% 2.65/2.78 inference(rename_variables,[],[414])).
% 2.65/2.78 cnf(453,plain,
% 2.65/2.78 (~P5(f4(f4(x4531,x4532),x4533),x4531)),
% 2.65/2.78 inference(scs_inference,[],[51,414,396,107,265,39,27])).
% 2.65/2.78 cnf(454,plain,
% 2.65/2.78 (~P5(f4(x4541,x4542),x4541)),
% 2.65/2.78 inference(rename_variables,[],[51])).
% 2.65/2.78 cnf(466,plain,
% 2.65/2.78 (~P1(a2,f4(a3,x4661))),
% 2.65/2.78 inference(scs_inference,[],[51,454,424,363,414,451,417,396,388,353,107,265,289,39,27,16,22,24,11,14,28])).
% 2.65/2.78 cnf(469,plain,
% 2.65/2.78 (P1(f4(f4(x4691,x4692),x4693),f5(x4691,x4694))),
% 2.65/2.78 inference(scs_inference,[],[51,454,424,363,414,451,417,396,450,388,353,107,265,245,289,39,27,16,22,24,11,14,28,30])).
% 2.65/2.78 cnf(472,plain,
% 2.65/2.78 (P1(a1,a3)),
% 2.65/2.78 inference(scs_inference,[],[51,454,424,363,414,451,417,422,396,450,388,353,107,265,245,289,39,27,16,22,24,11,14,28,30,17])).
% 2.65/2.78 cnf(474,plain,
% 2.65/2.78 (~P6(f5(f4(a2,x4741),x4742),a3)+~P1(f5(f4(a2,x4741),x4742),a3)),
% 2.65/2.78 inference(scs_inference,[],[51,454,424,363,414,451,417,422,396,450,388,353,107,265,245,198,289,39,27,16,22,24,11,14,28,30,17,40])).
% 2.65/2.78 cnf(477,plain,
% 2.65/2.78 (~P6(f4(f4(x4771,x4772),x4773),f5(x4771,x4774))),
% 2.65/2.78 inference(scs_inference,[],[51,454,424,363,414,451,417,422,396,450,388,353,107,265,245,198,289,39,27,16,22,24,11,14,28,30,17,40,411])).
% 2.65/2.78 cnf(485,plain,
% 2.65/2.78 (~P7(f6(a1,a2),f6(a1,a3))),
% 2.65/2.78 inference(scs_inference,[],[472,48])).
% 2.65/2.78 cnf(487,plain,
% 2.65/2.78 (~P6(f5(a3,x4871),a2)),
% 2.65/2.78 inference(scs_inference,[],[9,420,353,39])).
% 2.65/2.78 cnf(491,plain,
% 2.65/2.78 (P1(f4(f5(a2,x4911),x4912),a3)),
% 2.65/2.78 inference(scs_inference,[],[9,382,420,75,353,39,28])).
% 2.65/2.78 cnf(494,plain,
% 2.65/2.78 (~P1(a2,f4(f4(a3,x4941),x4942))),
% 2.65/2.78 inference(scs_inference,[],[9,466,382,420,75,353,8,39,28,30])).
% 2.65/2.78 cnf(497,plain,
% 2.65/2.78 (~P5(a2,f4(a3,x4971))),
% 2.65/2.78 inference(scs_inference,[],[9,466,382,420,75,353,8,39,28,30,17])).
% 2.65/2.78 cnf(499,plain,
% 2.65/2.78 (P5(f4(x4991,x4992),f5(x4991,x4993))),
% 2.65/2.78 inference(scs_inference,[],[9,403,466,382,305,420,75,353,8,39,28,30,17,27])).
% 2.65/2.78 cnf(511,plain,
% 2.65/2.78 (P4(f6(a1,a2),f6(a1,a3))),
% 2.65/2.78 inference(scs_inference,[],[485,10])).
% 2.65/2.78 cnf(514,plain,
% 2.65/2.78 (~P6(f4(f5(x5141,x5142),x5143),x5141)),
% 2.65/2.78 inference(rename_variables,[],[424])).
% 2.65/2.78 cnf(516,plain,
% 2.65/2.78 (P5(a3,f5(f5(a1,x5161),x5162))),
% 2.65/2.78 inference(scs_inference,[],[472,485,424,190,10,31,28])).
% 2.65/2.78 cnf(519,plain,
% 2.65/2.78 (P1(f5(a2,x5191),f4(f4(a3,x5192),x5193))),
% 2.65/2.78 inference(scs_inference,[],[494,472,485,424,190,145,10,31,28,30])).
% 2.65/2.78 cnf(522,plain,
% 2.65/2.78 (P1(a2,f5(f5(a1,x5221),x5222))),
% 2.65/2.78 inference(scs_inference,[],[494,472,485,424,324,190,145,10,31,28,30,17])).
% 2.65/2.78 cnf(524,plain,
% 2.65/2.78 (P5(a1,f4(a3,x5241))),
% 2.65/2.78 inference(scs_inference,[],[494,497,472,485,424,324,190,145,73,10,31,28,30,17,27])).
% 2.65/2.78 cnf(546,plain,
% 2.65/2.78 (~P6(f5(f5(a2,x5461),x5462),f5(a3,x5463))+~P1(f5(f5(a2,x5461),x5462),f5(a3,x5463))),
% 2.65/2.78 inference(scs_inference,[],[64,379,491,494,487,497,472,485,392,424,514,324,190,277,145,73,229,198,10,31,28,30,17,27,21,13,38,33,39,41,37,40,36])).
% 2.65/2.78 cnf(549,plain,
% 2.65/2.78 (P4(f6(a1,a3),f6(a1,a2))),
% 2.65/2.78 inference(scs_inference,[],[511,3,25])).
% 2.65/2.78 cnf(552,plain,
% 2.65/2.78 (~P1(f4(x5521,x5522),f4(f4(x5521,x5523),x5524))),
% 2.65/2.78 inference(scs_inference,[],[51,511,3,114,25,28])).
% 2.65/2.78 cnf(553,plain,
% 2.65/2.78 (~P5(f4(x5531,x5532),x5531)),
% 2.65/2.78 inference(rename_variables,[],[51])).
% 2.65/2.78 cnf(558,plain,
% 2.65/2.78 (~P6(f5(x5581,x5582),f5(f5(x5581,x5583),x5584))),
% 2.65/2.78 inference(scs_inference,[],[51,511,417,3,114,193,265,25,28,30,40])).
% 2.65/2.78 cnf(561,plain,
% 2.65/2.78 (~P5(a2,f4(f4(a3,x5611),x5612))),
% 2.65/2.78 inference(scs_inference,[],[51,511,417,3,114,193,494,265,25,28,30,40,17])).
% 2.65/2.78 cnf(563,plain,
% 2.65/2.78 (~P5(f4(x5631,x5632),f4(f4(x5631,x5633),x5634))),
% 2.65/2.78 inference(scs_inference,[],[51,553,453,511,417,3,114,193,494,265,25,28,30,40,17,27])).
% 2.65/2.78 cnf(568,plain,
% 2.65/2.78 (~P5(f5(x5681,x5682),f4(f5(x5681,x5683),x5682))),
% 2.65/2.78 inference(scs_inference,[],[51,553,453,511,417,3,114,424,193,494,265,25,28,30,40,17,27,20,110])).
% 2.65/2.78 cnf(573,plain,
% 2.65/2.78 (~P6(f5(f4(a3,x5731),x5732),a2)+~P1(f5(f4(a3,x5731),x5732),a2)),
% 2.65/2.78 inference(scs_inference,[],[51,553,453,511,477,359,417,3,114,466,424,193,494,265,165,25,28,30,40,17,27,20,110,41,39])).
% 2.65/2.78 cnf(582,plain,
% 2.65/2.78 (P1(f5(a2,x5821),f4(a3,x5822))),
% 2.65/2.78 inference(scs_inference,[],[51,519,28])).
% 2.65/2.78 cnf(585,plain,
% 2.65/2.78 (P1(a3,f5(f5(a1,x5851),x5852))),
% 2.65/2.78 inference(scs_inference,[],[51,516,519,28,17])).
% 2.65/2.78 cnf(587,plain,
% 2.65/2.78 (P5(a3,f4(f5(a2,x5871),x5872))),
% 2.65/2.78 inference(scs_inference,[],[51,568,516,519,223,28,17,27])).
% 2.65/2.78 cnf(588,plain,
% 2.65/2.78 (~P5(f5(x5881,x5882),f4(f5(x5881,x5883),x5882))),
% 2.65/2.78 inference(rename_variables,[],[568])).
% 2.65/2.78 cnf(603,plain,
% 2.65/2.78 (~P1(f4(f4(x6031,x6032),x6033),f4(x6031,x6034))),
% 2.65/2.78 inference(scs_inference,[],[51,67,64,568,588,552,558,516,519,223,289,198,5,28,17,27,16,22,24,11,14,39,30])).
% 2.65/2.78 cnf(618,plain,
% 2.65/2.78 (P5(a1,f5(f5(a2,x6181),x6182))),
% 2.65/2.78 inference(scs_inference,[],[67,190,28])).
% 2.65/2.78 cnf(621,plain,
% 2.65/2.78 (P1(f5(a2,x6211),f5(f5(a3,x6212),x6213))),
% 2.65/2.78 inference(scs_inference,[],[67,582,417,190,28,30])).
% 2.65/2.78 cnf(624,plain,
% 2.65/2.78 (~P5(f4(f4(x6241,x6242),x6243),f4(x6241,x6244))),
% 2.65/2.78 inference(scs_inference,[],[67,603,582,417,190,28,30,17])).
% 2.65/2.78 cnf(626,plain,
% 2.65/2.78 (P5(f4(x6261,x6262),f4(f5(x6261,x6263),x6264))),
% 2.65/2.78 inference(scs_inference,[],[67,499,603,582,568,417,190,28,30,17,27])).
% 2.65/2.78 cnf(629,plain,
% 2.65/2.78 (~P6(f4(a3,x6291),f5(a2,x6292))+~P1(f4(a3,x6291),f5(a2,x6292))),
% 2.65/2.78 inference(scs_inference,[],[67,499,603,582,568,417,190,466,165,28,30,17,27,38])).
% 2.65/2.78 cnf(652,plain,
% 2.65/2.78 (~P1(a2,f5(f5(a3,x6521),x6522))),
% 2.65/2.78 inference(scs_inference,[],[286,353,28])).
% 2.65/2.78 cnf(655,plain,
% 2.65/2.78 (P1(f5(f5(a1,x6551),x6552),a3)),
% 2.65/2.78 inference(scs_inference,[],[286,522,353,28,30])).
% 2.65/2.78 cnf(657,plain,
% 2.65/2.78 (P1(a3,f4(f5(a2,x6571),x6572))),
% 2.65/2.78 inference(scs_inference,[],[587,286,522,353,28,30,17])).
% 2.65/2.78 cnf(661,plain,
% 2.65/2.78 (P6(f4(x6611,x6612),f4(f4(x6611,x6613),x6614))),
% 2.65/2.78 inference(scs_inference,[],[626,587,286,522,552,353,28,30,17,21,13])).
% 2.65/2.78 cnf(668,plain,
% 2.65/2.78 (P5(a1,f4(f4(a3,x6681),x6682))),
% 2.65/2.78 inference(scs_inference,[],[70,67,626,621,561,587,286,522,487,552,558,353,28,30,17,21,13,31,38,27])).
% 2.65/2.78 cnf(676,plain,
% 2.65/2.78 (P1(f4(f5(a2,x6761),x6762),f4(a3,x6763))),
% 2.65/2.78 inference(scs_inference,[],[67,497,382,424,31,28])).
% 2.65/2.78 cnf(679,plain,
% 2.65/2.78 (~P1(x6791,f4(f4(x6791,x6792),x6793))),
% 2.65/2.78 inference(scs_inference,[],[67,497,603,382,424,229,31,28,30])).
% 2.65/2.78 cnf(680,plain,
% 2.65/2.78 (~P1(x6801,f4(x6801,x6802))),
% 2.65/2.78 inference(rename_variables,[],[229])).
% 2.65/2.78 cnf(682,plain,
% 2.65/2.78 (~P5(a2,f5(f5(a3,x6821),x6822))),
% 2.65/2.78 inference(scs_inference,[],[67,652,497,603,382,424,229,31,28,30,17])).
% 2.65/2.78 cnf(684,plain,
% 2.65/2.78 (P5(f4(x6841,x6842),f5(f4(x6841,x6843),x6844))),
% 2.65/2.78 inference(scs_inference,[],[67,652,499,376,497,603,382,424,229,31,28,30,17,27])).
% 2.65/2.78 cnf(689,plain,
% 2.65/2.78 (~P1(f5(f5(x6891,x6892),x6893),f4(x6891,x6894))),
% 2.65/2.78 inference(scs_inference,[],[67,652,499,376,497,603,392,382,240,225,424,174,229,31,28,30,17,27,38,41])).
% 2.65/2.78 cnf(691,plain,
% 2.65/2.78 (~P6(f5(x6911,x6912),f4(x6911,x6913))),
% 2.65/2.78 inference(rename_variables,[],[225])).
% 2.65/2.78 cnf(699,plain,
% 2.65/2.78 (~P1(x6991,f4(x6991,x6992))),
% 2.65/2.78 inference(rename_variables,[],[229])).
% 2.65/2.78 cnf(704,plain,
% 2.65/2.78 (~P6(x7041,f4(f5(x7041,x7042),x7043))+P6(a3,a1)+~P1(x7041,f4(f5(x7041,x7042),x7043))),
% 2.65/2.78 inference(scs_inference,[],[64,67,652,655,327,499,376,497,603,392,382,240,225,691,424,558,174,229,680,699,31,28,30,17,27,38,41,234,39,37,40,36])).
% 2.65/2.78 cnf(709,plain,
% 2.65/2.78 (~P1(x7091,f4(f4(x7091,x7092),x7093))),
% 2.65/2.78 inference(rename_variables,[],[679])).
% 2.65/2.78 cnf(711,plain,
% 2.65/2.78 (P1(a2,f4(f4(a1,x7111),x7112))),
% 2.65/2.78 inference(scs_inference,[],[67,679,709,28,30])).
% 2.65/2.78 cnf(712,plain,
% 2.65/2.78 (~P1(x7121,f4(f4(x7121,x7122),x7123))),
% 2.65/2.78 inference(rename_variables,[],[679])).
% 2.65/2.78 cnf(714,plain,
% 2.65/2.78 (~P6(f5(a2,x7141),f5(f5(a3,x7142),x7143))),
% 2.65/2.78 inference(scs_inference,[],[67,679,709,621,652,165,28,30,40])).
% 2.65/2.78 cnf(718,plain,
% 2.65/2.78 (P1(a1,f5(f5(a2,x7181),x7182))),
% 2.65/2.78 inference(scs_inference,[],[67,679,709,618,621,652,165,28,30,40,17])).
% 2.65/2.78 cnf(731,plain,
% 2.65/2.78 (~P1(f5(f5(x7311,x7312),x7313),x7311)),
% 2.65/2.78 inference(rename_variables,[],[277])).
% 2.65/2.78 cnf(737,plain,
% 2.65/2.78 (~P6(f5(a3,x7371),f5(f5(a2,x7372),x7373))+~P1(f5(a3,x7371),f5(f5(a2,x7372),x7373))),
% 2.65/2.78 inference(scs_inference,[],[64,67,679,709,712,563,661,676,618,621,477,652,396,487,277,731,289,165,28,30,40,17,16,24,11,22,14,37,38,39])).
% 2.65/2.78 cnf(740,plain,
% 2.65/2.78 (~P1(f5(f5(a3,x7401),x7402),a2)),
% 2.65/2.78 inference(scs_inference,[],[714,9,31])).
% 2.65/2.78 cnf(743,plain,
% 2.65/2.78 (~P1(f4(a3,x7431),a2)),
% 2.65/2.78 inference(scs_inference,[],[714,682,417,9,31,28])).
% 2.65/2.78 cnf(746,plain,
% 2.65/2.78 (~P6(f4(f5(a2,x7461),x7462),a3)),
% 2.65/2.78 inference(scs_inference,[],[714,682,491,417,424,174,9,31,28,39])).
% 2.65/2.78 cnf(753,plain,
% 2.65/2.78 (~P5(f5(f5(x7531,x7532),x7533),f4(x7531,x7534))),
% 2.65/2.78 inference(scs_inference,[],[67,714,682,689,679,491,417,424,174,9,31,28,39,30,17])).
% 2.65/2.78 cnf(755,plain,
% 2.65/2.78 (~P5(f5(a3,x7551),f4(f5(a2,x7552),x7551))),
% 2.65/2.78 inference(scs_inference,[],[67,714,682,689,679,491,417,424,174,9,31,28,39,30,17,110])).
% 2.65/2.78 cnf(757,plain,
% 2.65/2.78 (~P6(f5(a3,x7571),f5(a2,x7572))+~P1(f5(a3,x7571),f5(a2,x7572))),
% 2.65/2.78 inference(scs_inference,[],[67,714,682,689,679,491,417,424,174,165,9,31,28,39,30,17,110,41])).
% 2.65/2.78 cnf(758,plain,
% 2.65/2.78 (~P6(x7581,f5(x7581,x7582))),
% 2.65/2.78 inference(rename_variables,[],[165])).
% 2.65/2.78 cnf(760,plain,
% 2.65/2.78 (~P5(f5(a2,x7601),f5(a3,x7602))+P2(x7603,f5(a3,x7602))),
% 2.65/2.78 inference(scs_inference,[],[67,714,682,689,679,491,417,424,174,289,165,758,9,31,28,39,30,17,110,41,43])).
% 2.65/2.78 cnf(775,plain,
% 2.65/2.78 (P1(a2,f4(a1,x7751))),
% 2.65/2.78 inference(scs_inference,[],[624,711,676,392,31,28])).
% 2.65/2.78 cnf(778,plain,
% 2.65/2.78 (~P6(f4(f5(a2,x7781),x7782),f4(a3,x7783))),
% 2.65/2.78 inference(scs_inference,[],[624,711,746,676,392,8,31,28,39])).
% 2.65/2.78 cnf(780,plain,
% 2.65/2.78 (~P1(f4(x7801,x7802),x7801)),
% 2.65/2.78 inference(rename_variables,[],[8])).
% 2.65/2.78 cnf(782,plain,
% 2.65/2.78 (~P1(f4(a2,x7821),f5(f5(a3,x7822),x7823))),
% 2.65/2.78 inference(scs_inference,[],[624,711,740,746,676,392,8,780,31,28,39,30])).
% 2.65/2.78 cnf(785,plain,
% 2.65/2.78 (~P6(a3,f4(f5(a2,x7851),x7852))),
% 2.65/2.78 inference(scs_inference,[],[624,657,711,740,746,676,392,114,8,780,31,28,39,30,40])).
% 2.65/2.78 cnf(791,plain,
% 2.65/2.78 (~P5(f5(a2,x7911),f5(a3,x7912))),
% 2.65/2.78 inference(scs_inference,[],[624,657,668,711,740,746,676,392,114,289,8,780,31,28,39,30,40,17,760])).
% 2.65/2.78 cnf(797,plain,
% 2.65/2.78 (P6(a2,f4(a3,x7971))+P2(x7972,a2)),
% 2.65/2.78 inference(scs_inference,[],[624,684,657,668,711,740,746,676,385,392,114,225,289,8,780,31,28,39,30,40,17,760,21,13,43])).
% 2.65/2.78 cnf(823,plain,
% 2.65/2.78 (P1(a1,f4(a2,x8231))),
% 2.65/2.78 inference(scs_inference,[],[67,718,775,689,679,299,31,28,30])).
% 2.65/2.78 cnf(833,plain,
% 2.65/2.78 (P5(f4(f5(x8331,x8332),x8333),f4(x8331,x8334))),
% 2.65/2.78 inference(scs_inference,[],[67,753,782,718,743,775,689,181,679,299,289,31,28,30,17,797,38,27])).
% 2.65/2.78 cnf(852,plain,
% 2.65/2.78 (~P1(f4(a3,x8521),f4(f4(a2,x8522),x8523))),
% 2.65/2.78 inference(scs_inference,[],[743,453,28])).
% 2.65/2.78 cnf(855,plain,
% 2.65/2.78 (P1(f4(a2,x8551),f4(f4(a1,x8552),x8553))),
% 2.65/2.78 inference(scs_inference,[],[823,743,453,679,28,30])).
% 2.65/2.78 cnf(887,plain,
% 2.65/2.78 (~P1(f4(f5(a2,x8871),x8872),f5(a3,x8873))),
% 2.65/2.78 inference(scs_inference,[],[785,165,31])).
% 2.65/2.78 cnf(890,plain,
% 2.65/2.78 (~P6(f5(a2,x8901),f4(a3,x8902))),
% 2.65/2.78 inference(scs_inference,[],[785,778,582,165,8,31,38])).
% 2.65/2.78 cnf(894,plain,
% 2.65/2.78 (P1(f4(f4(a2,x8941),x8942),f5(a3,x8943))),
% 2.65/2.78 inference(scs_inference,[],[791,469,785,778,582,165,8,31,38,28])).
% 2.65/2.78 cnf(898,plain,
% 2.65/2.78 (~P1(f4(a2,x8981),f4(a3,x8982))),
% 2.65/2.78 inference(scs_inference,[],[852,791,469,785,778,582,229,165,8,31,38,28,30])).
% 2.65/2.78 cnf(901,plain,
% 2.65/2.78 (~P5(f4(a3,x9011),f4(f4(a2,x9012),x9013))),
% 2.65/2.78 inference(scs_inference,[],[852,791,469,785,778,582,229,165,8,31,38,28,30,17])).
% 2.65/2.78 cnf(903,plain,
% 2.65/2.78 (~P5(f5(a3,x9031),f5(a2,x9032))),
% 2.65/2.78 inference(scs_inference,[],[852,791,469,755,785,778,582,107,229,165,8,31,38,28,30,17,27])).
% 2.65/2.78 cnf(916,plain,
% 2.65/2.78 (~P6(f5(a2,x9161),f4(a3,x9162))),
% 2.65/2.78 inference(rename_variables,[],[890])).
% 2.65/2.78 cnf(919,plain,
% 2.65/2.78 (~P1(f5(a2,x9191),f5(f4(a3,x9192),x9193))),
% 2.65/2.78 inference(scs_inference,[],[890,916,414,9,31,41])).
% 2.65/2.78 cnf(923,plain,
% 2.65/2.78 (P5(f4(f4(a1,x9231),x9232),f4(a3,x9233))),
% 2.65/2.78 inference(scs_inference,[],[855,890,916,898,414,9,31,41,28])).
% 2.65/2.78 cnf(929,plain,
% 2.65/2.78 (~P6(f5(f4(a2,x9291),x9292),f4(a3,x9293))),
% 2.65/2.78 inference(scs_inference,[],[102,855,890,916,898,414,449,9,31,41,28,30,40])).
% 2.65/2.78 cnf(933,plain,
% 2.65/2.78 (P1(a1,f4(a3,x9331))),
% 2.65/2.78 inference(scs_inference,[],[102,855,890,916,898,524,414,449,9,31,41,28,30,40,17])).
% 2.65/2.78 cnf(952,plain,
% 2.65/2.78 (~P1(f5(f4(a2,x9521),x9522),f5(a3,x9523))),
% 2.65/2.78 inference(scs_inference,[],[929,903,933,396,31,28])).
% 2.65/2.78 cnf(955,plain,
% 2.65/2.78 (P1(a2,f5(f4(a3,x9551),x9552))),
% 2.65/2.78 inference(scs_inference,[],[102,919,929,903,933,396,31,28,30])).
% 2.65/2.78 cnf(958,plain,
% 2.65/2.78 (~P5(f5(a2,x9581),f5(f4(a3,x9582),x9583))),
% 2.65/2.78 inference(scs_inference,[],[102,919,929,903,933,396,31,28,30,17])).
% 2.65/2.78 cnf(964,plain,
% 2.65/2.78 (~P6(f5(a2,x9641),a3)),
% 2.65/2.78 inference(scs_inference,[],[102,919,929,903,933,753,516,785,396,275,229,31,28,30,17,27,36])).
% 2.65/2.78 cnf(991,plain,
% 2.65/2.78 (~P1(a3,f5(f5(a2,x9911),x9912))),
% 2.65/2.78 inference(scs_inference,[],[964,165,31])).
% 2.65/2.78 cnf(995,plain,
% 2.65/2.78 (P1(f5(x9951,x9952),x9951)),
% 2.65/2.78 inference(rename_variables,[],[102])).
% 2.65/2.78 cnf(997,plain,
% 2.65/2.78 (~P1(a3,f4(a2,x9971))),
% 2.65/2.78 inference(scs_inference,[],[102,964,791,782,190,165,31,28,30])).
% 2.65/2.78 cnf(1000,plain,
% 2.65/2.78 (~P6(a2,f5(f4(a3,x10001),x10002))),
% 2.65/2.78 inference(scs_inference,[],[102,955,964,791,919,782,190,165,9,31,28,30,40])).
% 2.65/2.78 cnf(1005,plain,
% 2.65/2.78 (P1(f4(f4(a1,x10051),x10052),f4(a3,x10053))),
% 2.65/2.78 inference(scs_inference,[],[102,923,955,964,791,919,782,190,165,9,31,28,30,40,17])).
% 2.65/2.78 cnf(1007,plain,
% 2.65/2.78 (~P5(f4(a3,x10071),f4(a2,x10072))),
% 2.65/2.78 inference(scs_inference,[],[102,901,923,955,964,791,919,782,107,190,165,9,31,28,30,40,17,27])).
% 2.65/2.78 cnf(1022,plain,
% 2.65/2.78 (~P6(f5(f5(a2,x10221),x10222),f5(a3,x10223))),
% 2.65/2.78 inference(scs_inference,[],[104,102,995,64,901,923,952,955,964,791,919,782,487,107,190,165,289,9,31,28,30,40,17,27,24,11,16,22,14,38,546])).
% 2.65/2.78 cnf(1029,plain,
% 2.65/2.78 (~P6(f5(a2,x10291),f4(f4(a3,x10292),x10293))),
% 2.65/2.78 inference(scs_inference,[],[104,102,995,64,901,923,952,955,964,894,791,890,519,919,603,782,487,107,190,165,289,9,31,28,30,40,17,27,24,11,16,22,14,38,546,149,41,39])).
% 2.65/2.78 cnf(1041,plain,
% 2.65/2.78 (P1(f5(x10411,x10412),x10411)),
% 2.65/2.78 inference(rename_variables,[],[102])).
% 2.65/2.78 cnf(1043,plain,
% 2.65/2.78 (~P1(f5(f5(a2,x10431),x10432),a3)),
% 2.65/2.78 inference(scs_inference,[],[102,1022,785,225,31,41])).
% 2.65/2.78 cnf(1047,plain,
% 2.65/2.78 (P5(f4(a2,x10471),f5(a3,x10472))),
% 2.65/2.78 inference(scs_inference,[],[102,1041,1022,952,785,225,31,41,28])).
% 2.65/2.78 cnf(1048,plain,
% 2.65/2.78 (P1(f5(x10481,x10482),x10481)),
% 2.65/2.78 inference(rename_variables,[],[102])).
% 2.65/2.78 cnf(1050,plain,
% 2.65/2.78 (P1(f5(a3,x10501),f5(f5(a2,x10502),x10503))),
% 2.65/2.78 inference(scs_inference,[],[102,1041,1048,1022,991,952,785,225,31,41,28,30])).
% 2.65/2.78 cnf(1055,plain,
% 2.65/2.78 (P5(f4(f5(a3,x10551),x10552),f4(a2,x10553))),
% 2.65/2.78 inference(scs_inference,[],[102,1041,1048,1022,1007,991,952,626,785,225,31,41,28,30,17,27])).
% 2.65/2.78 cnf(1059,plain,
% 2.65/2.78 (~P6(f5(a3,x10591),f5(f5(a2,x10592),x10593))),
% 2.65/2.78 inference(scs_inference,[],[102,1041,1048,1022,1007,991,952,626,785,225,31,41,28,30,17,27,737])).
% 2.65/2.78 cnf(1079,plain,
% 2.65/2.78 (~P1(f5(a2,x10791),f5(a2,x10792))),
% 2.65/2.78 inference(scs_inference,[],[958,1050,1059,919,31,28])).
% 2.65/2.78 cnf(1084,plain,
% 2.65/2.78 (P1(f4(f5(a3,x10841),x10842),f4(a2,x10843))),
% 2.65/2.78 inference(scs_inference,[],[67,958,1050,1055,1059,919,652,31,28,30,17])).
% 2.65/2.78 cnf(1086,plain,
% 2.65/2.78 (P5(a2,f4(a1,x10861))),
% 2.65/2.78 inference(scs_inference,[],[70,107,67,958,1050,1055,1059,919,652,31,28,30,17,27])).
% 2.65/2.78 cnf(1113,plain,
% 2.65/2.78 (~P1(f5(f4(a3,x11131),x11132),f5(a2,x11133))),
% 2.65/2.78 inference(scs_inference,[],[1000,165,31])).
% 2.65/2.78 cnf(1116,plain,
% 2.65/2.78 (~P6(f4(f5(a3,x11161),x11162),f4(a2,x11163))),
% 2.65/2.78 inference(scs_inference,[],[1084,1000,327,898,165,31,39])).
% 2.65/2.78 cnf(1120,plain,
% 2.65/2.78 (P1(f5(f5(a3,x11201),x11202),f5(a2,x11203))),
% 2.65/2.78 inference(scs_inference,[],[102,1084,1000,903,327,898,165,31,39,28])).
% 2.65/2.78 cnf(1123,plain,
% 2.65/2.78 (~P1(f4(f5(a2,x11231),x11232),f5(a2,x11233))),
% 2.65/2.78 inference(scs_inference,[],[102,1084,1079,1000,903,327,898,165,8,31,39,28,30])).
% 2.65/2.78 cnf(1126,plain,
% 2.65/2.78 (~P5(f5(a2,x11261),f5(a2,x11262))),
% 2.65/2.78 inference(scs_inference,[],[102,1084,1079,1000,903,327,898,165,8,31,39,28,30,17])).
% 2.65/2.78 cnf(1142,plain,
% 2.65/2.78 (P6(f5(a2,x11421),f5(a3,x11422))),
% 2.65/2.78 inference(scs_inference,[],[1029,469,31])).
% 2.65/2.78 cnf(1146,plain,
% 2.65/2.78 (P5(f4(a3,x11461),f5(a2,x11462))),
% 2.65/2.78 inference(scs_inference,[],[102,1113,1029,469,31,28])).
% 2.65/2.78 cnf(1147,plain,
% 2.65/2.78 (P1(f5(x11471,x11472),x11471)),
% 2.65/2.78 inference(rename_variables,[],[102])).
% 2.65/2.78 cnf(1149,plain,
% 2.65/2.78 (P1(f5(a3,x11491),f4(a2,x11492))),
% 2.65/2.78 inference(scs_inference,[],[102,1147,1113,1029,469,997,31,28,30])).
% 2.65/2.78 cnf(1152,plain,
% 2.65/2.78 (P1(f4(a2,x11521),f5(a3,x11522))),
% 2.65/2.78 inference(scs_inference,[],[102,1147,1113,1047,1029,469,997,31,28,30,17])).
% 2.65/2.78 cnf(1190,plain,
% 2.65/2.78 (~P6(f4(a2,x11901),f5(a3,x11902))),
% 2.65/2.78 inference(scs_inference,[],[1149,1152,1123,1022,359,689,13,31,38])).
% 2.65/2.78 cnf(1194,plain,
% 2.65/2.78 (~P1(f4(a3,x11941),f4(a2,x11942))),
% 2.65/2.78 inference(scs_inference,[],[107,1149,1152,1123,1022,359,852,689,13,31,38,28])).
% 2.65/2.78 cnf(1202,plain,
% 2.65/2.79 (~P5(f4(f5(a2,x12021),x12022),f5(a2,x12023))),
% 2.65/2.79 inference(scs_inference,[],[114,107,1005,1149,1152,1123,1022,359,852,689,13,31,38,28,30,17])).
% 2.65/2.79 cnf(1204,plain,
% 2.65/2.79 (P6(f4(a3,x12041),f4(a2,x12042))+P2(x12043,f4(f5(a3,x12044),x12045))),
% 2.65/2.79 inference(scs_inference,[],[114,107,1005,1149,1152,1123,833,1022,359,1116,852,689,289,13,31,38,28,30,17,43])).
% 2.65/2.79 cnf(1219,plain,
% 2.65/2.79 (~P1(f5(a3,x12191),f5(f4(a2,x12192),x12193))),
% 2.65/2.79 inference(scs_inference,[],[1190,165,31])).
% 2.65/2.79 cnf(1222,plain,
% 2.65/2.79 (P1(f5(f5(a2,x12221),x12222),f5(a2,x12223))),
% 2.65/2.79 inference(scs_inference,[],[102,1190,1126,165,31,28])).
% 2.65/2.79 cnf(1225,plain,
% 2.65/2.79 (P1(f4(a3,x12251),f5(a2,x12252))),
% 2.65/2.79 inference(scs_inference,[],[102,1146,1190,1126,165,31,28,17])).
% 2.65/2.79 cnf(1228,plain,
% 2.65/2.79 (~P2(x12281,x12282)),
% 2.65/2.79 inference(rename_variables,[],[289])).
% 2.65/2.79 cnf(1230,plain,
% 2.65/2.79 (~P6(f4(a3,x12301),f5(a2,x12302))),
% 2.65/2.79 inference(scs_inference,[],[102,1146,1190,1126,165,289,31,28,17,1204,629])).
% 2.65/2.79 cnf(1235,plain,
% 2.65/2.79 (~P6(f5(x12351,x12352),x12351)),
% 2.65/2.79 inference(rename_variables,[],[9])).
% 2.65/2.79 cnf(1237,plain,
% 2.65/2.79 (~P6(f5(a3,x12371),f4(a2,x12372))),
% 2.65/2.79 inference(scs_inference,[],[102,1146,1190,1126,1149,1059,417,165,289,9,31,28,17,1204,629,21,41,39])).
% 2.65/2.79 cnf(1239,plain,
% 2.65/2.79 (~P6(f5(a3,x12391),f5(f5(a2,x12392),x12393))),
% 2.65/2.79 inference(rename_variables,[],[1059])).
% 2.65/2.79 cnf(1242,plain,
% 2.65/2.79 (~P1(f4(f4(x12421,x12422),x12423),x12421)),
% 2.65/2.79 inference(scs_inference,[],[114,102,1146,1190,1126,1149,1059,417,679,165,289,9,31,28,17,1204,629,21,41,39,30])).
% 2.65/2.79 cnf(1249,plain,
% 2.65/2.79 (~P6(f5(f5(a3,x12491),x12492),f5(a2,x12493))),
% 2.65/2.79 inference(scs_inference,[],[70,114,107,102,1120,1146,1190,1126,1149,1059,740,417,679,165,289,9,1235,31,28,17,1204,629,21,41,39,30,27,36])).
% 2.65/2.79 cnf(1253,plain,
% 2.65/2.79 (P6(f4(a2,x12531),f5(f5(a2,x12532),x12533))+P2(x12534,f5(a3,x12535))),
% 2.65/2.79 inference(scs_inference,[],[70,114,107,102,1120,1146,1190,1126,1149,1047,1059,1239,740,417,679,165,289,1228,9,1235,31,28,17,1204,629,21,41,39,30,27,36,43])).
% 2.65/2.79 cnf(1263,plain,
% 2.65/2.79 (P6(f4(f4(x12631,x12632),x12633),x12631)),
% 2.65/2.79 inference(scs_inference,[],[1242,13])).
% 2.65/2.79 cnf(1266,plain,
% 2.65/2.79 (~P6(f4(a3,x12661),f5(a2,x12662))),
% 2.65/2.79 inference(rename_variables,[],[1230])).
% 2.65/2.79 cnf(1267,plain,
% 2.65/2.79 (P1(f5(x12671,x12672),x12671)),
% 2.65/2.79 inference(rename_variables,[],[102])).
% 2.65/2.79 cnf(1269,plain,
% 2.65/2.79 (P5(a3,f5(f4(a2,x12691),x12692))),
% 2.65/2.79 inference(scs_inference,[],[102,1267,1242,1219,1230,13,31,28])).
% 2.65/2.79 cnf(1272,plain,
% 2.65/2.79 (P1(f4(a3,x12721),a1)),
% 2.65/2.79 inference(scs_inference,[],[102,1267,1242,1219,1230,1005,13,31,28,30])).
% 2.65/2.79 cnf(1278,plain,
% 2.65/2.79 (~P6(f4(f4(a2,x12781),x12782),f5(a3,x12783))),
% 2.65/2.79 inference(scs_inference,[],[107,102,1267,1242,1219,1230,1237,1086,1005,894,603,13,31,28,30,27,36])).
% 2.65/2.79 cnf(1280,plain,
% 2.65/2.79 (~P6(f5(a3,x12801),f4(a2,x12802))),
% 2.65/2.79 inference(rename_variables,[],[1237])).
% 2.65/2.79 cnf(1282,plain,
% 2.65/2.79 (~P5(f5(a3,x12821),f5(f4(a2,x12822),x12823))),
% 2.65/2.79 inference(scs_inference,[],[107,102,1267,1242,1219,1230,1237,1086,1005,894,603,13,31,28,30,27,36,17])).
% 2.65/2.79 cnf(1286,plain,
% 2.65/2.79 (P2(x12861,f4(a3,x12862))+P6(f5(a3,x12863),f5(a2,x12864))),
% 2.65/2.79 inference(scs_inference,[],[107,102,1267,1242,1219,1230,1266,1237,1086,1005,894,499,603,289,13,31,28,30,27,36,17,1253,43])).
% 2.65/2.79 cnf(1290,plain,
% 2.65/2.79 (~P1(f5(a2,x12901),f5(a3,x12902))),
% 2.65/2.79 inference(scs_inference,[],[107,102,1267,1242,1219,1230,1266,1237,1280,1086,1005,1142,894,499,603,225,289,13,31,28,30,27,36,17,1253,43,41])).
% 2.65/2.79 cnf(1302,plain,
% 2.65/2.79 (~P6(f5(f4(x13021,x13022),x13023),x13021)),
% 2.65/2.79 inference(rename_variables,[],[299])).
% 2.65/2.79 cnf(1304,plain,
% 2.65/2.79 (~P1(f4(f4(a3,x13041),x13042),a2)),
% 2.65/2.79 inference(scs_inference,[],[75,1272,1242,299,31,28])).
% 2.65/2.79 cnf(1305,plain,
% 2.65/2.79 (~P1(f4(f4(x13051,x13052),x13053),x13051)),
% 2.65/2.79 inference(rename_variables,[],[1242])).
% 2.65/2.79 cnf(1310,plain,
% 2.65/2.79 (P1(a3,f5(f4(a2,x13101),x13102))),
% 2.65/2.79 inference(scs_inference,[],[75,1269,1272,1242,190,299,31,28,30,17])).
% 2.65/2.79 cnf(1313,plain,
% 2.65/2.79 (~P2(x13131,x13132)),
% 2.65/2.79 inference(rename_variables,[],[289])).
% 2.65/2.79 cnf(1330,plain,
% 2.65/2.79 (~P1(f5(a3,x13301),f5(a2,x13302))),
% 2.65/2.79 inference(scs_inference,[],[137,75,1263,1202,1249,1290,1269,1272,1230,775,1242,1305,190,299,289,1313,31,28,30,17,1286,110,11,24,16,22,14,37,757])).
% 2.65/2.79 cnf(1341,plain,
% 2.65/2.79 (~P6(f5(a3,x13411),f4(f4(a2,x13412),x13413))+~P1(f5(a3,x13411),f4(f4(a2,x13412),x13413))),
% 2.65/2.79 inference(scs_inference,[],[137,75,114,1263,1202,1249,1278,1290,1269,1272,1230,775,1242,1305,477,190,299,1302,198,289,1313,31,28,30,17,1286,110,11,24,16,22,14,37,757,41,38,39,40])).
% 2.65/2.79 cnf(1354,plain,
% 2.65/2.79 (~P6(f5(a3,x13541),f4(f4(a3,x13542),x13543))+~P1(f5(a3,x13541),f4(f4(a3,x13542),x13543))),
% 2.65/2.79 inference(scs_inference,[],[137,75,1304,1029,1290,13,28,17,474,38])).
% 2.65/2.79 cnf(1357,plain,
% 2.65/2.79 (~P6(f5(f5(a2,x13571),x13572),f5(a2,x13573))),
% 2.65/2.79 inference(scs_inference,[],[137,75,1222,1304,1029,1290,1022,13,28,17,474,38,39])).
% 2.65/2.79 cnf(1361,plain,
% 2.65/2.79 (P5(a3,f5(a2,x13611))),
% 2.65/2.79 inference(scs_inference,[],[137,1113,28])).
% 2.65/2.79 cnf(1379,plain,
% 2.65/2.79 (P6(f4(a2,x13791),a3)),
% 2.65/2.79 inference(scs_inference,[],[1310,449,31])).
% 2.65/2.79 cnf(1383,plain,
% 2.65/2.79 (~P1(f5(a3,x13831),f5(a3,x13832))),
% 2.65/2.79 inference(scs_inference,[],[1310,1282,1219,449,31,28])).
% 2.65/2.79 cnf(1404,plain,
% 2.65/2.79 (~P1(f4(a2,x14041),a3)),
% 2.65/2.79 inference(scs_inference,[],[1379,1043,689,37])).
% 2.65/2.79 cnf(1409,plain,
% 2.65/2.79 (P5(x14091,f4(f5(x14091,x14092),x14093))),
% 2.65/2.79 inference(scs_inference,[],[140,107,1379,1043,689,37,27])).
% 2.65/2.79 cnf(1415,plain,
% 2.65/2.79 (P1(a3,f5(a2,x14151))),
% 2.65/2.79 inference(scs_inference,[],[140,137,107,1361,1379,1043,303,689,37,27,28,17])).
% 2.65/2.79 cnf(1417,plain,
% 2.65/2.79 (~P6(f5(f4(a3,x14171),x14172),a2)),
% 2.65/2.79 inference(scs_inference,[],[140,137,107,1361,1379,1043,303,689,37,27,28,17,573])).
% 2.65/2.79 cnf(1419,plain,
% 2.65/2.79 (~P5(f5(f5(a3,x14191),x14192),f4(a2,x14192))),
% 2.65/2.79 inference(scs_inference,[],[140,137,107,1361,1379,1043,303,1190,689,37,27,28,17,573,110])).
% 2.65/2.79 cnf(1448,plain,
% 2.65/2.79 (~P6(a3,f5(a2,x14481))),
% 2.65/2.79 inference(scs_inference,[],[1415,1357,1043,38])).
% 2.65/2.79 cnf(1451,plain,
% 2.65/2.79 (~P5(x14511,f4(f4(x14511,x14512),x14513))),
% 2.65/2.79 inference(scs_inference,[],[107,1415,1357,1043,51,38,27])).
% 2.65/2.79 cnf(1462,plain,
% 2.65/2.79 (~P6(a2,f5(a3,x14621))+~P1(a2,f5(a3,x14621))),
% 2.65/2.79 inference(scs_inference,[],[107,114,1404,1415,1225,1357,1043,991,1219,51,198,38,27,28,17,13,39])).
% 2.65/2.79 cnf(1476,plain,
% 2.65/2.79 (P5(f5(a3,x14761),f4(a2,x14762))),
% 2.65/2.79 inference(scs_inference,[],[143,1419,27])).
% 2.65/2.79 cnf(1478,plain,
% 2.65/2.79 (P5(f5(x14781,x14782),x14781)),
% 2.65/2.79 inference(rename_variables,[],[143])).
% 2.65/2.79 cnf(1480,plain,
% 2.65/2.79 (~P1(f5(a3,x14801),f5(f4(a3,x14802),x14803))),
% 2.65/2.79 inference(scs_inference,[],[143,1419,403,1383,27,28])).
% 2.65/2.79 cnf(1484,plain,
% 2.65/2.79 (P1(x14841,f4(f5(x14841,x14842),x14843))),
% 2.65/2.79 inference(scs_inference,[],[143,1409,1419,403,1383,27,28,17])).
% 2.65/2.79 cnf(1497,plain,
% 2.65/2.79 (P1(f5(f4(a3,x14971),x14972),f4(a2,x14973))),
% 2.65/2.79 inference(scs_inference,[],[143,1478,145,104,1409,1419,1194,403,585,1383,1123,689,27,28,17,21,38,704,39,30])).
% 2.65/2.79 cnf(1503,plain,
% 2.65/2.79 (P1(f5(f5(a1,x15031),x15032),f4(a2,x15033))),
% 2.65/2.79 inference(scs_inference,[],[655,997,30])).
% 2.65/2.79 cnf(1505,plain,
% 2.65/2.79 (P5(f5(a3,x15051),f4(f4(a2,x15052),x15053))),
% 2.65/2.79 inference(scs_inference,[],[107,1476,655,997,30,27])).
% 2.65/2.79 cnf(1508,plain,
% 2.65/2.79 (P1(f5(x15081,x15082),f4(f4(x15081,x15083),x15084))),
% 2.65/2.79 inference(scs_inference,[],[102,107,1451,1476,655,997,30,27,28])).
% 2.65/2.79 cnf(1511,plain,
% 2.65/2.79 (~P5(f5(a3,x15111),f5(a3,x15112))),
% 2.65/2.79 inference(scs_inference,[],[102,107,1451,1476,655,1383,997,30,27,28,17])).
% 2.65/2.79 cnf(1513,plain,
% 2.65/2.79 (P6(f5(a2,x15131),f5(a2,x15132))+P2(x15133,f5(f5(a2,x15131),x15134))),
% 2.65/2.79 inference(scs_inference,[],[102,143,107,1451,1476,655,1357,1383,997,289,30,27,28,17,43])).
% 2.65/2.79 cnf(1518,plain,
% 2.65/2.79 (P6(f5(f4(a3,x15181),x15182),f5(a2,x15183))),
% 2.65/2.79 inference(scs_inference,[],[102,143,145,107,1451,1476,1417,655,1357,1383,997,289,30,27,28,17,43,31])).
% 2.65/2.79 cnf(1521,plain,
% 2.65/2.79 (~P6(f5(a3,x15211),f4(f4(a3,x15212),x15213))),
% 2.65/2.79 inference(scs_inference,[],[102,143,145,107,1451,1476,1417,655,1357,1383,997,289,30,27,28,17,43,31,1354])).
% 2.65/2.79 cnf(1534,plain,
% 2.65/2.79 (P1(f5(f4(a3,x15341),x15342),f4(a2,x15343))),
% 2.65/2.79 inference(rename_variables,[],[1497])).
% 2.65/2.79 cnf(1543,plain,
% 2.65/2.79 (P5(f4(a2,x15431),f4(a1,x15432))),
% 2.65/2.79 inference(scs_inference,[],[1484,1497,1534,1503,1480,1237,746,689,353,31,38,36,28])).
% 2.65/2.79 cnf(1564,plain,
% 2.65/2.79 (~P6(f5(a3,x15641),f4(f4(a2,x15642),x15643))),
% 2.65/2.79 inference(scs_inference,[],[145,1484,1497,1534,1503,1505,1518,1521,1511,1480,1237,746,269,952,689,353,289,31,38,36,28,17,1513,11,24,16,22,14,39,1341])).
% 2.65/2.79 cnf(1566,plain,
% 2.65/2.79 (P2(f6(a1,a2),f4(f4(a2,x15661),x15662))+P2(f6(a1,a2),f5(a3,x15663))+P2(f6(a1,a3),f4(f4(a2,x15661),x15662))+P2(f6(a1,a3),f5(a3,x15663))),
% 2.65/2.79 inference(scs_inference,[],[145,1484,1497,1534,1503,1505,1518,1521,1511,1480,549,1237,746,269,952,689,353,289,31,38,36,28,17,1513,11,24,16,22,14,39,1341,49])).
% 2.65/2.79 cnf(1570,plain,
% 2.65/2.79 (P6(f5(f5(a2,x15701),x15702),f4(a3,x15703))+P2(x15704,f5(a2,x15701))),
% 2.65/2.79 inference(scs_inference,[],[143,145,1484,1497,1534,1503,1505,1518,1521,1511,1480,549,1237,746,890,269,952,689,353,289,31,38,36,28,17,1513,11,24,16,22,14,39,1341,49,149,43])).
% 2.65/2.79 cnf(1587,plain,
% 2.65/2.79 (~P1(f5(a3,x15871),f5(a2,x15872))),
% 2.65/2.79 inference(rename_variables,[],[1330])).
% 2.65/2.79 cnf(1588,plain,
% 2.65/2.79 (P1(f5(x15881,x15882),f4(f4(x15881,x15883),x15884))),
% 2.65/2.79 inference(rename_variables,[],[1508])).
% 2.65/2.79 cnf(1595,plain,
% 2.65/2.79 (P6(f5(f5(a2,x15951),x15952),f4(a3,x15953))),
% 2.65/2.79 inference(scs_inference,[],[1564,1508,1448,1202,1310,1330,1587,887,396,289,39,38,28,17,1570])).
% 2.65/2.79 cnf(1596,plain,
% 2.65/2.79 (~P2(x15961,x15962)),
% 2.65/2.79 inference(rename_variables,[],[289])).
% 2.65/2.79 cnf(1598,plain,
% 2.65/2.79 (P2(x15981,f4(a2,x15982))+P6(f4(a1,x15983),f5(a3,x15984))),
% 2.65/2.79 inference(scs_inference,[],[1564,1543,1508,1448,1202,1310,1330,1587,887,1190,396,289,1596,39,38,28,17,1570,43])).
% 2.65/2.79 cnf(1600,plain,
% 2.65/2.79 (~P2(x16001,x16002)),
% 2.65/2.79 inference(rename_variables,[],[289])).
% 2.65/2.79 cnf(1608,plain,
% 2.65/2.79 (P2(f6(a1,a2),f4(f4(a2,x16081),x16082))+P2(f6(a1,a3),f4(f4(a2,x16081),x16082))+P2(f6(a1,a3),f5(a3,x16083))),
% 2.65/2.79 inference(scs_inference,[],[114,1564,1543,1508,1588,1448,1202,1310,1330,1587,887,1190,1219,477,396,289,1596,1600,39,38,28,17,1570,43,13,40,1566])).
% 2.65/2.79 cnf(1624,plain,
% 2.65/2.79 (~P2(x16241,x16242)),
% 2.65/2.79 inference(rename_variables,[],[289])).
% 2.65/2.79 cnf(1628,plain,
% 2.65/2.79 (P2(f6(a1,a2),f4(f4(a2,x16281),x16282))+P2(f6(a1,a3),f5(a3,x16283))),
% 2.65/2.79 inference(scs_inference,[],[145,1595,1543,791,991,229,289,1624,37,28,17,1598,1462,1608])).
% 2.65/2.79 cnf(1640,plain,
% 2.65/2.79 (P2(f6(a1,a2),f4(f4(a2,x16401),x16402))),
% 2.65/2.79 inference(scs_inference,[],[289,1628])).
% 2.65/2.79 cnf(1671,plain,
% 2.65/2.79 ($false),
% 2.65/2.79 inference(scs_inference,[],[1640,289]),
% 2.65/2.79 ['proof']).
% 2.65/2.79 % SZS output end Proof
% 2.65/2.79 % Total time :2.150000s
%------------------------------------------------------------------------------