TSTP Solution File: GEO217+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO217+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 : n010.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 22:43:47 EDT 2023
% Result : Theorem 0.54s 1.31s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:03:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.54/1.30 %-------------------------------------------
% 0.54/1.30 % File :CSE---1.6
% 0.54/1.30 % Problem :theBenchmark
% 0.54/1.30 % Transform :cnf
% 0.54/1.30 % Format :tptp:raw
% 0.54/1.30 % Command :java -jar mcs_scs.jar %d %s
% 0.54/1.30
% 0.54/1.30 % Result :Theorem 0.670000s
% 0.54/1.30 % Output :CNFRefutation 0.670000s
% 0.54/1.30 %-------------------------------------------
% 0.54/1.30 %------------------------------------------------------------------------------
% 0.54/1.30 % File : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.54/1.30 % Domain : Geometry (Constructive)
% 0.54/1.30 % Problem : Transitivity of parallel
% 0.54/1.30 % Version : [vPl95] axioms.
% 0.54/1.30 % English : If a line L is parallel to the lines M and N, then M and N
% 0.54/1.30 % are parallel.
% 0.54/1.30
% 0.54/1.30 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.54/1.30 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.54/1.30 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.54/1.30 % Source : [Rat07]
% 0.54/1.30 % Names : Theorem 8.7.i [vPl95]
% 0.54/1.30
% 0.54/1.30 % Status : Theorem
% 0.54/1.30 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.54/1.30 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.54/1.30 % Number of atoms : 96 ( 0 equ)
% 0.54/1.30 % Maximal formula atoms : 6 ( 2 avg)
% 0.54/1.30 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 0.54/1.31 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.54/1.31 % Maximal formula depth : 9 ( 5 avg)
% 0.54/1.31 % Maximal term depth : 2 ( 1 avg)
% 0.54/1.31 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.54/1.31 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.54/1.31 % Number of variables : 84 ( 84 !; 0 ?)
% 0.54/1.31 % SPC : FOF_THM_RFO_NEQ
% 0.54/1.31
% 0.54/1.31 % Comments :
% 0.54/1.31 %------------------------------------------------------------------------------
% 0.54/1.31 include('Axioms/GEO006+0.ax').
% 0.54/1.31 include('Axioms/GEO006+1.ax').
% 0.54/1.31 include('Axioms/GEO006+2.ax').
% 0.54/1.31 include('Axioms/GEO006+3.ax').
% 0.54/1.31 include('Axioms/GEO006+4.ax').
% 0.54/1.31 include('Axioms/GEO006+5.ax').
% 0.54/1.31 include('Axioms/GEO006+6.ax').
% 0.54/1.31 %------------------------------------------------------------------------------
% 0.54/1.31 fof(con,conjecture,
% 0.54/1.31 ! [L,M,N] :
% 0.54/1.31 ( ( parallel_lines(L,M)
% 0.54/1.31 & parallel_lines(L,N) )
% 0.54/1.31 => parallel_lines(M,N) ) ).
% 0.54/1.31
% 0.54/1.31 %------------------------------------------------------------------------------
% 0.54/1.31 %-------------------------------------------
% 0.54/1.31 % Proof found
% 0.54/1.31 % SZS status Theorem for theBenchmark
% 0.54/1.31 % SZS output start Proof
% 0.54/1.31 %ClaNum:49(EqnAxiom:0)
% 0.54/1.31 %VarNum:218(SingletonVarNum:98)
% 0.54/1.31 %MaxLitNum:6
% 0.54/1.31 %MaxfuncDepth:1
% 0.54/1.31 %SharedTerms:6
% 0.54/1.31 %goalClause: 1 2 3
% 0.54/1.31 %singleGoalClaCount:3
% 0.54/1.31 [1]P1(a1,a2)
% 0.54/1.31 [2]P1(a1,a3)
% 0.54/1.31 [3]~P1(a2,a3)
% 0.54/1.31 [4]~P2(x41,x41)
% 0.54/1.31 [5]~P3(x51,x51)
% 0.54/1.31 [6]~P4(x61,x61)
% 0.54/1.31 [7]~P5(x71,f4(x72,x71))
% 0.54/1.31 [8]~P5(x81,f5(x82,x81))
% 0.54/1.31 [9]~P4(f4(x91,x92),x91)
% 0.54/1.31 [10]~P11(f5(x101,x102),x101)
% 0.54/1.31 [11]P6(x111,x112)+P2(x111,x112)
% 0.54/1.31 [12]P7(x121,x122)+P3(x121,x122)
% 0.54/1.31 [14]P11(x141,x142)+P4(x141,x142)
% 0.54/1.31 [15]P1(x151,x152)+P4(x151,x152)
% 0.54/1.31 [16]P8(x161,x162)+P5(x161,x162)
% 0.54/1.31 [17]P9(x171,x172)+P11(x171,x172)
% 0.54/1.31 [18]~P3(x181,x182)+P4(x181,x182)
% 0.54/1.31 [21]~P6(x211,x212)+~P2(x211,x212)
% 0.54/1.31 [22]~P7(x221,x222)+~P3(x221,x222)
% 0.54/1.31 [23]~P1(x231,x232)+~P4(x231,x232)
% 0.54/1.31 [24]~P8(x241,x242)+~P5(x241,x242)
% 0.54/1.31 [25]~P9(x251,x252)+~P11(x251,x252)
% 0.54/1.31 [45]~P2(x451,x452)+~P5(x452,f7(x451,x452))
% 0.54/1.31 [46]~P2(x461,x462)+~P5(x461,f7(x461,x462))
% 0.54/1.31 [47]~P4(x471,x472)+~P5(f6(x471,x472),x472)
% 0.54/1.31 [48]~P4(x481,x482)+~P5(f6(x481,x482),x481)
% 0.54/1.31 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 0.54/1.31 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 0.54/1.31 [26]~P2(x263,x261)+P2(x261,x262)+P2(x263,x262)
% 0.54/1.31 [27]~P5(x271,x273)+P2(x271,x272)+P5(x272,x273)
% 0.54/1.31 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 0.54/1.31 [29]~P4(x293,x291)+P3(x291,x292)+P4(x293,x292)
% 0.54/1.31 [30]~P5(x303,x301)+P3(x301,x302)+P5(x303,x302)
% 0.54/1.31 [31]~P4(x313,x311)+P4(x311,x312)+P4(x313,x312)
% 0.54/1.31 [32]~P4(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 0.54/1.31 [34]~P10(x342)+~P10(x341)+~P4(x341,x342)+P12(f6(x341,x342))
% 0.54/1.31 [35]~P12(x352)+~P12(x351)+~P2(x351,x352)+P10(f7(x351,x352))
% 0.54/1.31 [37]~P4(x371,x373)+~P11(x371,x373)+P4(x371,x372)+P11(x373,x372)
% 0.54/1.31 [38]~P4(x382,x383)+~P11(x382,x383)+P4(x381,x382)+P4(x381,x383)
% 0.54/1.31 [39]~P4(x392,x393)+~P11(x392,x393)+P4(x391,x392)+P11(x391,x393)
% 0.54/1.31 [40]~P4(x403,x401)+~P11(x403,x401)+P4(x401,x402)+P11(x403,x402)
% 0.54/1.31 [41]~P4(x413,x412)+~P11(x413,x412)+P4(x411,x412)+P11(x411,x413)
% 0.54/1.31 [42]~P4(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 0.54/1.31 [44]P11(x443,x444)+~P3(x443,x442)+P5(x441,x442)+P5(x441,x443)+P11(x442,x444)
% 0.54/1.31 [49]P5(x494,x493)+~P2(x494,x491)+~P3(x493,x492)+P5(x491,x492)+P5(x491,x493)+P5(x494,x492)
% 0.54/1.31 %EqnAxiom
% 0.54/1.31
% 0.54/1.31 %-------------------------------------------
% 0.54/1.31 cnf(50,plain,
% 0.54/1.31 (~P3(f4(x501,x502),x501)),
% 0.54/1.31 inference(scs_inference,[],[9,18])).
% 0.54/1.31 cnf(56,plain,
% 0.54/1.31 (P11(x561,x561)),
% 0.54/1.31 inference(scs_inference,[],[6,7,9,10,18,17,16,15,14])).
% 0.54/1.31 cnf(62,plain,
% 0.54/1.31 (~P4(a1,a2)),
% 0.54/1.31 inference(scs_inference,[],[1,4,5,6,7,9,10,18,17,16,15,14,12,11,23])).
% 0.54/1.31 cnf(64,plain,
% 0.54/1.31 (~P11(x641,f5(x641,x642))+~P4(x641,f5(x641,x642))),
% 0.54/1.31 inference(scs_inference,[],[1,4,5,6,7,9,10,18,17,16,15,14,12,11,23,41])).
% 0.54/1.31 cnf(65,plain,
% 0.54/1.31 (~P4(x651,x651)),
% 0.54/1.31 inference(rename_variables,[],[6])).
% 0.54/1.31 cnf(69,plain,
% 0.54/1.31 (~P4(x691,f4(x691,x692))),
% 0.54/1.31 inference(scs_inference,[],[1,4,5,6,65,7,9,10,18,17,16,15,14,12,11,23,41,25,31])).
% 0.54/1.31 cnf(72,plain,
% 0.54/1.31 (~P5(x721,f4(f4(x722,x721),x723))),
% 0.54/1.31 inference(scs_inference,[],[1,4,5,6,65,7,9,10,18,17,16,15,14,12,11,23,41,25,31,30])).
% 0.54/1.31 cnf(74,plain,
% 0.54/1.31 (P11(f4(x741,x742),x743)+~P3(f5(x743,x742),f4(x741,x742))),
% 0.54/1.31 inference(scs_inference,[],[1,4,5,6,65,7,8,9,10,18,17,16,15,14,12,11,23,41,25,31,30,44])).
% 0.54/1.31 cnf(78,plain,
% 0.54/1.31 (~P4(x781,f4(f4(x781,x782),x783))),
% 0.54/1.31 inference(scs_inference,[],[9,69,31])).
% 0.54/1.31 cnf(79,plain,
% 0.54/1.31 (~P4(f4(x791,x792),x791)),
% 0.54/1.31 inference(rename_variables,[],[9])).
% 0.54/1.31 cnf(81,plain,
% 0.54/1.31 (P4(a2,a3)),
% 0.54/1.31 inference(scs_inference,[],[3,9,69,31,15])).
% 0.54/1.31 cnf(83,plain,
% 0.54/1.31 (P4(f5(x831,x832),x831)),
% 0.54/1.31 inference(scs_inference,[],[3,9,10,69,31,15,14])).
% 0.54/1.31 cnf(85,plain,
% 0.54/1.31 (P11(f5(a3,x851),a2)),
% 0.54/1.31 inference(scs_inference,[],[3,9,10,69,31,15,14,32])).
% 0.54/1.31 cnf(86,plain,
% 0.54/1.31 (~P11(f5(x861,x862),x861)),
% 0.54/1.31 inference(rename_variables,[],[10])).
% 0.54/1.31 cnf(88,plain,
% 0.54/1.31 (P11(f4(f4(x881,x882),x883),x884)+~P3(f5(x884,x882),f4(f4(x881,x882),x883))),
% 0.54/1.31 inference(scs_inference,[],[3,8,9,10,86,69,72,31,15,14,32,44])).
% 0.54/1.31 cnf(99,plain,
% 0.54/1.31 (~P4(f4(x991,x992),x991)),
% 0.54/1.31 inference(rename_variables,[],[9])).
% 0.54/1.31 cnf(102,plain,
% 0.54/1.31 (~P4(x1021,x1021)),
% 0.54/1.31 inference(rename_variables,[],[6])).
% 0.54/1.31 cnf(108,plain,
% 0.54/1.31 (~P3(x1081,f4(x1081,x1082))),
% 0.54/1.31 inference(scs_inference,[],[3,8,5,9,79,99,6,10,86,50,69,72,31,15,14,32,44,23,48,47,39,37,34,38,28])).
% 0.54/1.31 cnf(110,plain,
% 0.54/1.31 (P11(a2,a3)+~P4(f5(a3,x1101),a2)),
% 0.54/1.31 inference(scs_inference,[],[3,8,5,9,79,99,6,10,86,50,69,72,31,15,14,32,44,23,48,47,39,37,34,38,28,42])).
% 0.54/1.31 cnf(112,plain,
% 0.54/1.31 (P11(a3,f4(f4(x1121,x1122),x1123))+~P4(f4(f4(x1121,x1122),x1123),a3)+~P3(f5(a3,x1122),f4(f4(x1121,x1122),x1123))),
% 0.54/1.31 inference(scs_inference,[],[3,8,5,9,79,99,6,102,10,86,50,69,72,31,15,14,32,44,23,48,47,39,37,34,38,28,42,41])).
% 0.54/1.31 cnf(114,plain,
% 0.54/1.31 (~P4(f4(x1141,x1142),f4(x1141,x1143))),
% 0.54/1.31 inference(scs_inference,[],[50,9,29])).
% 0.54/1.31 cnf(115,plain,
% 0.54/1.31 (~P4(f4(x1151,x1152),x1151)),
% 0.54/1.31 inference(rename_variables,[],[9])).
% 0.54/1.31 cnf(117,plain,
% 0.54/1.31 (~P3(x1171,f4(f4(x1171,x1172),x1173))),
% 0.54/1.31 inference(scs_inference,[],[50,9,108,29,28])).
% 0.54/1.31 cnf(120,plain,
% 0.54/1.31 (~P4(a1,a3)),
% 0.54/1.31 inference(scs_inference,[],[2,50,9,108,29,28,23])).
% 0.54/1.31 cnf(124,plain,
% 0.54/1.31 (P4(f5(f4(x1241,x1242),x1243),x1241)),
% 0.54/1.32 inference(scs_inference,[],[2,50,9,115,83,108,29,28,23,15,31])).
% 0.54/1.32 cnf(127,plain,
% 0.54/1.32 (P11(f4(x1271,x1272),x1271)),
% 0.54/1.32 inference(scs_inference,[],[2,50,9,115,83,108,29,28,23,15,31,14])).
% 0.54/1.32 cnf(139,plain,
% 0.54/1.32 (~P4(f4(f4(x1391,x1392),x1393),x1391)),
% 0.54/1.32 inference(scs_inference,[],[9,124,69,23,31])).
% 0.54/1.32 cnf(140,plain,
% 0.54/1.32 (~P4(f4(x1401,x1402),x1401)),
% 0.54/1.32 inference(rename_variables,[],[9])).
% 0.54/1.32 cnf(142,plain,
% 0.54/1.32 (~P11(f4(x1421,x1422),f5(x1421,x1423))+~P4(f4(x1421,x1422),f5(x1421,x1423))),
% 0.54/1.32 inference(scs_inference,[],[9,140,10,124,69,23,31,37])).
% 0.54/1.32 cnf(145,plain,
% 0.54/1.32 (~P11(f5(f4(x1451,x1452),x1453),x1451)),
% 0.54/1.32 inference(scs_inference,[],[9,140,10,124,69,23,31,37,40])).
% 0.54/1.32 cnf(146,plain,
% 0.54/1.32 (~P11(f5(x1461,x1462),x1461)),
% 0.54/1.32 inference(rename_variables,[],[10])).
% 0.54/1.32 cnf(147,plain,
% 0.54/1.32 (P4(f5(f4(x1471,x1472),x1473),x1471)),
% 0.54/1.32 inference(rename_variables,[],[124])).
% 0.54/1.32 cnf(149,plain,
% 0.54/1.32 (P4(f5(f4(x1491,x1492),x1493),f4(x1491,x1494))),
% 0.54/1.32 inference(scs_inference,[],[9,140,10,124,147,108,69,23,31,37,40,29])).
% 0.54/1.32 cnf(151,plain,
% 0.54/1.32 (~P11(x1511,f4(f5(x1511,x1512),x1513))+~P4(x1511,f4(f5(x1511,x1512),x1513))),
% 0.54/1.32 inference(scs_inference,[],[9,140,10,146,124,147,108,69,23,31,37,40,29,41])).
% 0.54/1.32 cnf(154,plain,
% 0.54/1.32 (P3(f4(x1541,x1542),f5(f4(x1541,x1543),x1544))),
% 0.54/1.32 inference(scs_inference,[],[6,149,29])).
% 0.54/1.32 cnf(155,plain,
% 0.54/1.32 (~P4(x1551,x1551)),
% 0.54/1.32 inference(rename_variables,[],[6])).
% 0.54/1.32 cnf(157,plain,
% 0.54/1.32 (P4(f4(x1571,x1572),f5(f4(x1571,x1573),x1574))),
% 0.54/1.32 inference(scs_inference,[],[6,155,149,29,31])).
% 0.54/1.32 cnf(158,plain,
% 0.54/1.32 (~P4(x1581,x1581)),
% 0.54/1.32 inference(rename_variables,[],[6])).
% 0.54/1.32 cnf(171,plain,
% 0.54/1.32 (~P3(f4(f4(x1711,x1712),x1713),x1711)),
% 0.54/1.32 inference(scs_inference,[],[50,8,6,155,10,127,139,145,149,29,31,12,17,42,25,16,18])).
% 0.54/1.32 cnf(177,plain,
% 0.54/1.32 (P4(f5(f4(x1771,x1772),x1773),f4(x1771,x1774))),
% 0.54/1.32 inference(rename_variables,[],[149])).
% 0.54/1.32 cnf(182,plain,
% 0.54/1.32 (P11(a2,a3)+~P1(f5(f4(x1821,x1822),x1823),f4(x1821,x1824))),
% 0.54/1.32 inference(scs_inference,[],[50,7,8,6,155,158,10,127,139,145,149,177,81,69,29,31,12,17,42,25,16,18,44,38,40,23])).
% 0.54/1.32 cnf(184,plain,
% 0.54/1.32 (~P11(f4(x1841,x1842),f5(f4(x1841,x1842),x1843))),
% 0.54/1.32 inference(scs_inference,[],[6,10,157,37])).
% 0.54/1.32 cnf(196,plain,
% 0.54/1.32 (~P4(f4(x1961,x1962),x1961)),
% 0.54/1.32 inference(rename_variables,[],[9])).
% 0.54/1.32 cnf(198,plain,
% 0.54/1.32 (~P11(a2,a3)),
% 0.54/1.32 inference(scs_inference,[],[9,6,10,154,157,120,62,83,81,37,22,48,47,39,38])).
% 0.54/1.32 cnf(200,plain,
% 0.54/1.32 (~P4(f4(x2001,x2002),f4(f4(x2001,x2003),x2004))),
% 0.54/1.32 inference(scs_inference,[],[9,196,6,10,171,154,157,120,62,83,81,37,22,48,47,39,38,29])).
% 0.54/1.32 cnf(203,plain,
% 0.54/1.32 (~P4(f5(a3,x2031),a2)),
% 0.54/1.32 inference(scs_inference,[],[9,196,6,10,171,154,157,120,62,83,81,37,22,48,47,39,38,29,182,110])).
% 0.54/1.32 cnf(204,plain,
% 0.54/1.32 (~P5(x2041,x2042)),
% 0.54/1.32 inference(scs_inference,[],[7,9,196,6,10,117,171,154,157,120,62,83,81,37,22,48,47,39,38,29,182,110,30])).
% 0.54/1.32 cnf(206,plain,
% 0.54/1.32 (P3(f5(f4(x2061,x2062),x2063),x2061)),
% 0.54/1.32 inference(scs_inference,[],[9,157,29])).
% 0.54/1.32 cnf(215,plain,
% 0.54/1.32 (P3(f5(f4(x2151,x2152),x2153),f4(x2151,x2154))),
% 0.54/1.32 inference(scs_inference,[],[5,9,200,157,154,29,74,14,15,28])).
% 0.54/1.32 cnf(218,plain,
% 0.54/1.32 (P5(x2181,f5(f4(a2,x2182),x2183))+P11(f5(f4(a2,x2182),x2183),a3)),
% 0.54/1.32 inference(scs_inference,[],[206,204,198,44])).
% 0.54/1.32 cnf(222,plain,
% 0.54/1.32 (~P11(f5(f4(x2221,x2222),x2223),f4(x2221,x2224))),
% 0.54/1.32 inference(scs_inference,[],[114,184,149,41])).
% 0.54/1.32 cnf(224,plain,
% 0.54/1.32 (~P11(f4(x2241,x2242),f5(f4(x2241,x2242),x2243))),
% 0.54/1.32 inference(rename_variables,[],[184])).
% 0.54/1.32 cnf(226,plain,
% 0.54/1.32 (P11(f5(f4(a2,x2261),x2262),a3)),
% 0.54/1.32 inference(scs_inference,[],[114,184,204,149,41,218])).
% 0.54/1.32 cnf(227,plain,
% 0.54/1.32 (~P5(x2271,x2272)),
% 0.54/1.32 inference(rename_variables,[],[204])).
% 0.54/1.32 cnf(236,plain,
% 0.54/1.32 (~P4(x2361,x2361)),
% 0.54/1.32 inference(rename_variables,[],[6])).
% 0.54/1.32 cnf(238,plain,
% 0.54/1.32 (~P3(f5(a3,x2381),a2)),
% 0.54/1.32 inference(scs_inference,[],[56,6,203,114,184,224,117,204,227,149,41,218,25,12,17,37,18])).
% 0.54/1.32 cnf(242,plain,
% 0.54/1.32 (P11(f5(x2421,x2422),f5(f4(x2421,x2423),x2424))),
% 0.54/1.32 inference(scs_inference,[],[56,6,10,203,114,184,224,117,204,227,157,124,149,41,218,25,12,17,37,18,23,32])).
% 0.54/1.32 cnf(248,plain,
% 0.54/1.32 (~P11(f5(x2481,x2482),f4(x2481,x2483))+~P4(f5(x2481,x2482),f4(x2481,x2483))),
% 0.54/1.32 inference(scs_inference,[],[56,6,236,9,10,203,114,184,224,117,204,227,157,124,149,41,218,25,12,17,37,18,23,32,38,40])).
% 0.54/1.32 cnf(251,plain,
% 0.54/1.32 (P11(x2511,f4(x2511,x2512))+P5(x2513,f5(f4(x2511,x2512),x2514))),
% 0.54/1.32 inference(scs_inference,[],[56,6,236,9,10,203,114,184,224,117,206,204,227,157,124,149,41,218,25,12,17,37,18,23,32,38,40,44])).
% 0.54/1.32 cnf(253,plain,
% 0.54/1.32 (P4(a3,a2)),
% 0.54/1.32 inference(scs_inference,[],[56,6,236,9,10,203,114,184,224,117,206,204,227,157,124,149,83,41,218,25,12,17,37,18,23,32,38,40,44,31])).
% 0.54/1.32 cnf(257,plain,
% 0.54/1.32 (~P11(f4(x2571,x2572),f5(f4(x2571,x2573),x2574))),
% 0.54/1.32 inference(scs_inference,[],[6,222,157,37])).
% 0.54/1.32 cnf(261,plain,
% 0.54/1.32 (P11(x2611,f4(x2611,x2612))),
% 0.54/1.32 inference(scs_inference,[],[6,222,204,157,37,251])).
% 0.54/1.32 cnf(267,plain,
% 0.54/1.32 (~P11(f5(x2671,x2672),x2671)),
% 0.54/1.32 inference(rename_variables,[],[10])).
% 0.54/1.32 cnf(269,plain,
% 0.54/1.32 (P4(a3,f4(f4(a2,x2691),x2692))),
% 0.54/1.32 inference(scs_inference,[],[6,10,222,253,215,78,204,157,37,251,22,39,31])).
% 0.54/1.32 cnf(275,plain,
% 0.54/1.32 (~P11(a3,a2)),
% 0.54/1.32 inference(scs_inference,[],[6,9,10,267,222,253,215,78,204,203,157,37,251,22,39,31,38,41])).
% 0.54/1.32 cnf(281,plain,
% 0.54/1.32 (~P4(f5(f4(a2,x2811),x2812),a3)),
% 0.54/1.32 inference(scs_inference,[],[275,226,145,42])).
% 0.54/1.32 cnf(285,plain,
% 0.54/1.32 (P4(a3,f4(a2,x2851))),
% 0.54/1.32 inference(scs_inference,[],[50,275,226,269,145,42,29])).
% 0.54/1.32 cnf(286,plain,
% 0.54/1.32 (P4(a3,f4(f4(a2,x2861),x2862))),
% 0.54/1.32 inference(rename_variables,[],[269])).
% 0.54/1.32 cnf(289,plain,
% 0.54/1.32 (P4(f4(f4(a2,x2891),x2892),a3)),
% 0.54/1.32 inference(scs_inference,[],[6,50,275,226,269,286,145,42,29,31])).
% 0.54/1.32 cnf(292,plain,
% 0.54/1.32 (~P3(f5(a3,x2921),f4(f4(a2,x2921),x2922))+P11(a3,f4(f4(a2,x2921),x2922))),
% 0.54/1.32 inference(scs_inference,[],[6,50,275,226,269,286,145,42,29,31,112])).
% 0.54/1.32 cnf(311,plain,
% 0.54/1.32 (~P11(a3,f4(a2,x3111))+P4(a1,f4(a2,x3111))),
% 0.54/1.32 inference(scs_inference,[],[6,238,285,257,120,29,42,38])).
% 0.54/1.32 cnf(313,plain,
% 0.54/1.32 (P4(a3,f5(a3,x3131))),
% 0.54/1.32 inference(scs_inference,[],[6,238,285,257,120,81,29,42,38,31])).
% 0.54/1.32 cnf(315,plain,
% 0.54/1.32 (~P11(a3,f5(a3,x3151))),
% 0.54/1.32 inference(scs_inference,[],[313,64])).
% 0.54/1.32 cnf(320,plain,
% 0.54/1.32 (P4(f4(a2,x3201),a3)),
% 0.54/1.32 inference(scs_inference,[],[9,289,313,281,157,64,29,31])).
% 0.54/1.32 cnf(323,plain,
% 0.54/1.32 (P3(a3,a2)),
% 0.54/1.32 inference(scs_inference,[],[9,50,289,313,281,157,64,29,31,28])).
% 0.54/1.32 cnf(332,plain,
% 0.54/1.32 (~P3(a1,a2)),
% 0.54/1.32 inference(scs_inference,[],[9,62,50,261,289,313,281,171,257,157,64,29,31,28,25,17,12,18])).
% 0.54/1.32 cnf(347,plain,
% 0.54/1.32 (~P3(f4(x3471,x3472),f4(f4(x3471,x3473),x3474))),
% 0.54/1.32 inference(scs_inference,[],[50,171,28])).
% 0.54/1.32 cnf(350,plain,
% 0.54/1.32 (P4(f4(a2,x3501),f4(a3,x3502))),
% 0.54/1.32 inference(scs_inference,[],[50,320,108,171,28,29])).
% 0.54/1.32 cnf(355,plain,
% 0.54/1.32 (P3(a2,f4(f4(a3,x3551),x3552))),
% 0.54/1.32 inference(scs_inference,[],[323,117,28])).
% 0.54/1.32 cnf(358,plain,
% 0.54/1.32 (P4(a2,f4(f4(a3,x3581),x3582))),
% 0.54/1.32 inference(scs_inference,[],[323,117,28,18])).
% 0.54/1.32 cnf(360,plain,
% 0.54/1.32 (~P4(a1,f4(f4(a2,x3601),x3602))),
% 0.54/1.32 inference(scs_inference,[],[62,323,117,139,28,18,31])).
% 0.54/1.32 cnf(363,plain,
% 0.54/1.32 (~P4(a1,f4(a2,x3631))),
% 0.54/1.32 inference(scs_inference,[],[62,50,323,117,139,28,18,31,29])).
% 0.54/1.32 cnf(366,plain,
% 0.54/1.32 (~P11(a3,f4(a2,x3661))),
% 0.54/1.32 inference(scs_inference,[],[62,50,323,117,139,28,18,31,29,311])).
% 0.54/1.32 cnf(380,plain,
% 0.54/1.32 (P3(a2,f4(a3,x3801))),
% 0.54/1.32 inference(scs_inference,[],[50,355,28])).
% 0.54/1.32 cnf(384,plain,
% 0.54/1.32 (~P3(a1,f4(f4(a2,x3841),x3842))),
% 0.54/1.32 inference(scs_inference,[],[50,355,360,28,18])).
% 0.54/1.32 cnf(386,plain,
% 0.54/1.32 (P4(f4(f4(a3,x3861),x3862),f4(a2,x3863))),
% 0.54/1.32 inference(scs_inference,[],[69,50,355,358,360,28,18,31])).
% 0.54/1.32 cnf(387,plain,
% 0.54/1.32 (~P4(x3871,f4(x3871,x3872))),
% 0.54/1.32 inference(rename_variables,[],[69])).
% 0.54/1.32 cnf(389,plain,
% 0.54/1.32 (P3(f4(f4(a3,x3891),x3892),f4(a2,x3893))),
% 0.54/1.32 inference(scs_inference,[],[69,387,50,355,358,360,28,18,31,29])).
% 0.54/1.32 cnf(390,plain,
% 0.54/1.32 (~P4(x3901,f4(x3901,x3902))),
% 0.54/1.32 inference(rename_variables,[],[69])).
% 0.54/1.32 cnf(392,plain,
% 0.54/1.32 (P11(f5(a2,x3921),f4(f4(a3,x3922),x3923))),
% 0.54/1.32 inference(scs_inference,[],[10,69,387,50,355,358,360,28,18,31,29,32])).
% 0.54/1.32 cnf(393,plain,
% 0.54/1.32 (~P11(f5(x3931,x3932),x3931)),
% 0.54/1.32 inference(rename_variables,[],[10])).
% 0.54/1.32 cnf(396,plain,
% 0.54/1.32 (~P11(f5(x3961,x3962),x3961)),
% 0.54/1.32 inference(rename_variables,[],[10])).
% 0.54/1.32 cnf(398,plain,
% 0.54/1.32 (~P4(f5(x3981,x3982),f5(f4(x3981,x3983),x3984))),
% 0.54/1.32 inference(scs_inference,[],[10,393,396,69,387,50,355,358,360,242,145,28,18,31,29,32,40,42])).
% 0.54/1.32 cnf(400,plain,
% 0.54/1.32 (~P11(f5(x4001,x4002),x4001)),
% 0.54/1.32 inference(rename_variables,[],[10])).
% 0.54/1.32 cnf(402,plain,
% 0.54/1.32 (~P11(f4(a2,x4021),f4(a3,x4022))),
% 0.54/1.32 inference(scs_inference,[],[10,393,396,69,387,390,50,355,358,360,366,350,242,145,28,18,31,29,32,40,42,41])).
% 0.54/1.32 cnf(406,plain,
% 0.54/1.32 (P5(x4061,f5(f4(x4062,x4063),x4064))+~P3(f5(f4(x4062,x4063),x4064),f5(x4062,x4065))),
% 0.54/1.32 inference(scs_inference,[],[10,393,396,400,69,387,390,50,355,358,360,366,350,242,145,204,28,18,31,29,32,40,42,41,44])).
% 0.54/1.32 cnf(416,plain,
% 0.54/1.32 (~P3(f5(f4(x4161,x4162),x4163),f5(x4161,x4164))),
% 0.54/1.32 inference(scs_inference,[],[204,406])).
% 0.54/1.32 cnf(417,plain,
% 0.54/1.32 (~P5(x4171,x4172)),
% 0.54/1.32 inference(rename_variables,[],[204])).
% 0.54/1.32 cnf(419,plain,
% 0.54/1.32 (~P3(f5(f4(a3,x4191),x4192),f4(a2,x4192))),
% 0.54/1.32 inference(scs_inference,[],[402,204,406,74])).
% 0.54/1.32 cnf(422,plain,
% 0.54/1.32 (P4(f4(f4(a3,x4221),x4222),f4(a2,x4223))),
% 0.54/1.32 inference(rename_variables,[],[386])).
% 0.54/1.32 cnf(424,plain,
% 0.54/1.32 (~P11(f4(f4(a3,x4241),x4242),f4(a2,x4243))),
% 0.54/1.32 inference(scs_inference,[],[386,422,402,366,204,9,406,74,32,37])).
% 0.54/1.32 cnf(425,plain,
% 0.54/1.32 (~P11(f4(a2,x4251),f4(a3,x4252))),
% 0.54/1.32 inference(rename_variables,[],[402])).
% 0.54/1.32 cnf(426,plain,
% 0.54/1.32 (P4(f4(f4(a3,x4261),x4262),f4(a2,x4263))),
% 0.54/1.32 inference(rename_variables,[],[386])).
% 0.54/1.32 cnf(429,plain,
% 0.54/1.32 (~P11(f4(a2,x4291),a3)),
% 0.54/1.32 inference(scs_inference,[],[69,386,422,402,425,320,366,204,9,406,74,32,37,40])).
% 0.54/1.32 cnf(430,plain,
% 0.54/1.32 (~P11(f4(a2,x4301),f4(a3,x4302))),
% 0.54/1.32 inference(rename_variables,[],[402])).
% 0.54/1.32 cnf(433,plain,
% 0.54/1.32 (P4(a2,f4(a3,x4331))),
% 0.54/1.32 inference(scs_inference,[],[69,386,422,402,425,380,320,366,204,9,406,74,32,37,40,18])).
% 0.54/1.32 cnf(435,plain,
% 0.54/1.32 (P4(f4(a2,x4351),f4(f4(a3,x4352),x4353))),
% 0.54/1.32 inference(scs_inference,[],[78,69,386,422,402,425,380,320,366,204,9,406,74,32,37,40,18,31])).
% 0.54/1.32 cnf(436,plain,
% 0.54/1.32 (~P4(x4361,f4(f4(x4361,x4362),x4363))),
% 0.54/1.32 inference(rename_variables,[],[78])).
% 0.54/1.32 cnf(438,plain,
% 0.54/1.32 (P4(f4(f4(a3,x4381),x4382),a2)),
% 0.54/1.32 inference(scs_inference,[],[50,78,69,386,422,426,402,425,380,320,366,204,9,406,74,32,37,40,18,31,29])).
% 0.54/1.32 cnf(439,plain,
% 0.54/1.32 (P4(f4(f4(a3,x4391),x4392),f4(a2,x4393))),
% 0.54/1.32 inference(rename_variables,[],[386])).
% 0.54/1.32 cnf(440,plain,
% 0.54/1.32 (~P3(f4(x4401,x4402),x4401)),
% 0.54/1.32 inference(rename_variables,[],[50])).
% 0.54/1.32 cnf(448,plain,
% 0.54/1.32 (~P11(f4(a2,x4481),f5(f4(a3,x4482),x4483))+~P4(f4(a2,x4481),f5(f4(a3,x4482),x4483))),
% 0.54/1.32 inference(scs_inference,[],[50,78,69,347,386,422,426,392,402,425,430,380,320,366,204,417,9,10,406,74,32,37,40,18,31,29,25,12,17,42])).
% 0.54/1.32 cnf(451,plain,
% 0.54/1.32 (~P11(f4(f4(a2,x4511),x4512),a3)),
% 0.54/1.32 inference(scs_inference,[],[50,78,436,69,347,386,422,426,392,402,425,430,380,320,366,198,289,204,417,9,10,406,74,32,37,40,18,31,29,25,12,17,42,39])).
% 0.54/1.32 cnf(453,plain,
% 0.54/1.32 (~P4(x4531,f4(f4(x4531,x4532),x4533))),
% 0.54/1.32 inference(rename_variables,[],[78])).
% 0.54/1.32 cnf(457,plain,
% 0.54/1.32 (~P3(f4(f4(x4571,x4572),x4573),f4(x4571,x4574))),
% 0.54/1.32 inference(scs_inference,[],[50,440,78,436,69,347,386,422,426,439,392,402,425,430,380,320,366,198,289,171,204,417,9,10,406,74,32,37,40,18,31,29,25,12,17,42,39,23,28])).
% 0.54/1.32 cnf(459,plain,
% 0.54/1.32 (~P11(a3,f4(f4(a2,x4591),x4592))),
% 0.54/1.32 inference(scs_inference,[],[50,440,78,436,453,69,347,386,422,426,439,392,402,425,430,380,320,366,198,269,289,171,204,417,9,10,406,74,32,37,40,18,31,29,25,12,17,42,39,23,28,41])).
% 0.54/1.32 cnf(467,plain,
% 0.54/1.32 (~P3(f5(a3,x4671),f4(f4(a2,x4671),x4672))),
% 0.54/1.32 inference(scs_inference,[],[459,292])).
% 0.54/1.32 cnf(469,plain,
% 0.54/1.32 (P3(f4(f4(a3,x4691),x4692),a2)),
% 0.54/1.32 inference(scs_inference,[],[50,389,459,292,28])).
% 0.54/1.32 cnf(472,plain,
% 0.54/1.32 (~P11(f4(a2,x4721),f4(f4(a3,x4722),x4723))),
% 0.54/1.32 inference(scs_inference,[],[50,389,435,459,429,139,292,28,40])).
% 0.54/1.32 cnf(476,plain,
% 0.54/1.32 (~P3(f5(x4761,x4762),f5(f4(x4761,x4763),x4764))),
% 0.54/1.32 inference(scs_inference,[],[50,398,389,435,459,429,139,292,28,40,18])).
% 0.54/1.32 cnf(478,plain,
% 0.54/1.32 (~P4(a2,f5(f4(a3,x4781),x4782))),
% 0.54/1.32 inference(scs_inference,[],[50,69,398,419,389,435,459,429,139,292,28,40,18,29])).
% 0.54/1.32 cnf(486,plain,
% 0.54/1.32 (P5(x4861,f4(f4(a3,x4862),x4863))+P11(f4(f4(a3,x4862),x4863),a3)),
% 0.54/1.32 inference(scs_inference,[],[50,69,398,419,389,435,459,429,358,139,198,204,292,28,40,18,29,22,42,44])).
% 0.54/1.32 cnf(490,plain,
% 0.54/1.32 (~P11(a2,f4(a3,x4901))+P11(f4(a3,x4901),f4(f4(a2,x4902),x4903))),
% 0.54/1.32 inference(scs_inference,[],[50,78,69,398,419,389,435,459,429,433,358,139,198,204,292,28,40,18,29,22,42,44,37])).
% 0.54/1.32 cnf(495,plain,
% 0.54/1.32 (~P11(f4(f4(a3,x4951),x4952),a2)),
% 0.54/1.32 inference(scs_inference,[],[69,424,438,40])).
% 0.54/1.32 cnf(500,plain,
% 0.54/1.32 (P3(f4(a3,x5001),f4(f4(a2,x5002),x5003))),
% 0.54/1.32 inference(scs_inference,[],[69,424,438,380,117,40,28])).
% 0.54/1.32 cnf(503,plain,
% 0.54/1.32 (P4(f4(a3,x5031),f4(f4(a2,x5032),x5033))),
% 0.54/1.32 inference(scs_inference,[],[69,424,438,380,117,40,28,18])).
% 0.54/1.32 cnf(506,plain,
% 0.54/1.32 (~P4(x5061,f4(f4(x5061,x5062),x5063))),
% 0.54/1.32 inference(rename_variables,[],[78])).
% 0.54/1.32 cnf(511,plain,
% 0.54/1.32 (~P3(f5(a2,x5111),f4(f4(a3,x5111),x5112))),
% 0.54/1.32 inference(scs_inference,[],[78,81,69,424,438,380,117,204,40,28,18,29,486,88])).
% 0.54/1.32 cnf(513,plain,
% 0.54/1.32 (P11(x5131,f4(f4(x5131,x5132),x5133))),
% 0.54/1.32 inference(scs_inference,[],[78,506,81,69,424,438,380,117,204,40,28,18,29,486,88,14])).
% 0.54/1.32 cnf(527,plain,
% 0.54/1.32 (P4(f4(a3,x5271),f4(a2,x5272))),
% 0.54/1.32 inference(scs_inference,[],[457,503,478,495,114,358,41,18,29])).
% 0.54/1.32 cnf(535,plain,
% 0.54/1.32 (~P11(f4(a3,x5351),f4(a2,x5352))),
% 0.54/1.32 inference(scs_inference,[],[527,402,114,41])).
% 0.54/1.32 cnf(537,plain,
% 0.54/1.32 (P4(f4(a3,x5371),f4(a2,x5372))),
% 0.54/1.32 inference(rename_variables,[],[527])).
% 0.54/1.32 cnf(543,plain,
% 0.54/1.32 (P4(f5(x5431,x5432),f4(f4(x5431,x5433),x5434))),
% 0.54/1.33 inference(scs_inference,[],[83,78,467,527,402,108,114,41,28,31])).
% 0.54/1.33 cnf(546,plain,
% 0.54/1.33 (~P4(f5(x5461,x5462),f5(x5461,x5463))),
% 0.54/1.33 inference(scs_inference,[],[83,78,476,467,527,398,402,108,114,41,28,31,29])).
% 0.54/1.33 cnf(549,plain,
% 0.54/1.33 (~P3(f5(a3,x5491),f4(f4(a2,x5492),x5491))),
% 0.54/1.33 inference(scs_inference,[],[83,78,476,467,527,451,398,402,108,114,41,28,31,29,74])).
% 0.54/1.33 cnf(553,plain,
% 0.54/1.33 (P11(f5(f4(a3,x5531),x5532),f4(a2,x5533))),
% 0.54/1.33 inference(scs_inference,[],[83,78,513,476,467,527,537,451,398,222,402,108,114,41,28,31,29,74,25,32])).
% 0.54/1.33 cnf(570,plain,
% 0.54/1.33 (P4(f5(x5701,x5702),x5701)),
% 0.54/1.33 inference(rename_variables,[],[83])).
% 0.54/1.33 cnf(572,plain,
% 0.54/1.33 (~P11(f4(a3,x5721),f4(f4(a2,x5722),x5723))),
% 0.54/1.33 inference(scs_inference,[],[83,535,503,9,32,40])).
% 0.54/1.33 cnf(574,plain,
% 0.54/1.33 (~P11(f4(a3,x5741),f4(a2,x5742))),
% 0.54/1.33 inference(rename_variables,[],[535])).
% 0.54/1.33 cnf(580,plain,
% 0.54/1.33 (P3(f4(x5801,x5802),f5(x5801,x5803))),
% 0.54/1.33 inference(scs_inference,[],[83,78,543,535,315,416,503,215,9,32,40,41,28])).
% 0.54/1.33 cnf(583,plain,
% 0.54/1.33 (P4(f4(x5831,x5832),f5(x5831,x5833))),
% 0.54/1.33 inference(scs_inference,[],[83,78,543,535,315,416,503,215,9,32,40,41,28,18])).
% 0.54/1.33 cnf(585,plain,
% 0.54/1.33 (P3(x5851,f4(f5(x5851,x5852),x5853))),
% 0.54/1.33 inference(scs_inference,[],[83,570,78,69,543,535,315,416,503,215,9,32,40,41,28,18,29])).
% 0.54/1.33 cnf(590,plain,
% 0.54/1.33 (~P4(f4(a3,x5901),f5(f4(a2,x5902),x5903))),
% 0.54/1.33 inference(scs_inference,[],[83,570,78,69,543,535,574,500,315,416,503,215,9,10,32,40,41,28,18,29,22,42])).
% 0.54/1.33 cnf(592,plain,
% 0.54/1.33 (~P11(f4(a3,x5921),f4(a2,x5922))),
% 0.54/1.33 inference(rename_variables,[],[535])).
% 0.54/1.33 cnf(594,plain,
% 0.54/1.33 (~P11(a2,f4(a3,x5941))),
% 0.54/1.33 inference(scs_inference,[],[83,570,78,69,543,535,574,500,315,416,503,215,9,10,32,40,41,28,18,29,22,42,490])).
% 0.54/1.33 cnf(596,plain,
% 0.54/1.33 (~P11(f4(x5961,x5962),f5(x5961,x5963))),
% 0.54/1.33 inference(scs_inference,[],[83,570,78,69,543,535,574,500,315,416,503,215,9,10,32,40,41,28,18,29,22,42,490,142])).
% 0.54/1.33 cnf(598,plain,
% 0.54/1.33 (P11(f4(f4(a2,x5981),x5982),f4(a2,x5983))+P5(x5984,f4(f4(a2,x5981),x5982))),
% 0.54/1.33 inference(scs_inference,[],[83,570,78,69,543,535,574,592,500,315,416,503,215,204,9,10,32,40,41,28,18,29,22,42,490,142,44])).
% 0.54/1.33 cnf(607,plain,
% 0.54/1.33 (P3(f4(x6071,x6072),f5(x6071,x6073))),
% 0.54/1.33 inference(rename_variables,[],[580])).
% 0.54/1.33 cnf(609,plain,
% 0.54/1.33 (~P3(f4(a3,x6091),f5(f4(a2,x6092),x6093))),
% 0.54/1.33 inference(scs_inference,[],[580,511,590,28,18])).
% 0.54/1.33 cnf(611,plain,
% 0.54/1.33 (P4(f5(a1,x6111),a2)),
% 0.54/1.33 inference(scs_inference,[],[83,580,332,511,590,28,18,29])).
% 0.54/1.33 cnf(614,plain,
% 0.54/1.33 (P11(f4(f4(a2,x6141),x6142),f4(a2,x6143))),
% 0.54/1.33 inference(scs_inference,[],[83,580,332,511,590,204,28,18,29,598])).
% 0.54/1.33 cnf(615,plain,
% 0.54/1.33 (~P5(x6151,x6152)),
% 0.54/1.33 inference(rename_variables,[],[204])).
% 0.54/1.33 cnf(621,plain,
% 0.54/1.33 (P11(f5(x6211,x6212),f5(x6211,x6213))+P5(x6214,f4(x6211,x6215))),
% 0.54/1.33 inference(scs_inference,[],[83,580,607,596,332,511,590,363,204,615,28,18,29,598,14,15,44])).
% 0.54/1.33 cnf(627,plain,
% 0.54/1.33 (~P11(f5(a1,x6271),a2)+P4(a2,a1)),
% 0.54/1.33 inference(scs_inference,[],[83,69,580,607,596,332,511,590,363,553,204,615,10,28,18,29,598,14,15,44,41,40])).
% 0.54/1.33 cnf(633,plain,
% 0.54/1.33 (P4(x6331,f4(f5(x6331,x6332),x6333))),
% 0.54/1.33 inference(scs_inference,[],[585,549,108,28,18])).
% 0.54/1.33 cnf(635,plain,
% 0.54/1.33 (~P4(f5(f4(a2,x6351),x6352),f4(a3,x6353))),
% 0.54/1.33 inference(scs_inference,[],[585,549,609,546,108,28,18,29])).
% 0.54/1.33 cnf(640,plain,
% 0.54/1.33 (~P5(x6401,x6402)),
% 0.54/1.33 inference(rename_variables,[],[204])).
% 0.54/1.33 cnf(642,plain,
% 0.54/1.33 (~P11(x6421,f4(f5(x6421,x6422),x6423))),
% 0.54/1.33 inference(scs_inference,[],[585,549,609,546,108,204,28,18,29,621,151])).
% 0.54/1.33 cnf(644,plain,
% 0.54/1.33 (P11(a2,f5(f4(a3,x6441),x6442))+P5(x6443,a2)),
% 0.54/1.33 inference(scs_inference,[],[585,549,609,469,546,596,108,204,640,28,18,29,621,151,44])).
% 0.54/1.33 cnf(653,plain,
% 0.54/1.33 (~P11(f4(f5(a1,x6531),x6532),a2)+~P4(f4(f5(a1,x6531),x6532),a2)),
% 0.54/1.33 inference(scs_inference,[],[62,585,549,609,611,469,546,596,108,204,640,10,28,18,29,621,151,44,42,41])).
% 0.54/1.33 cnf(655,plain,
% 0.54/1.33 (P3(f4(f5(a1,x6551),x6552),a2)),
% 0.54/1.33 inference(scs_inference,[],[332,585,28])).
% 0.54/1.33 cnf(660,plain,
% 0.54/1.33 (P3(f4(a2,x6601),f4(a3,x6602))),
% 0.54/1.33 inference(scs_inference,[],[83,635,332,585,28,18,29])).
% 0.54/1.33 cnf(665,plain,
% 0.54/1.33 (~P5(x6651,x6652)),
% 0.54/1.33 inference(rename_variables,[],[204])).
% 0.54/1.33 cnf(667,plain,
% 0.54/1.33 (~P3(f5(f5(x6671,x6672),x6673),f4(x6671,x6673))),
% 0.54/1.33 inference(scs_inference,[],[83,635,332,585,596,204,28,18,29,644,74])).
% 0.54/1.33 cnf(680,plain,
% 0.54/1.33 (P4(f4(f5(a1,x6801),x6802),a2)),
% 0.54/1.33 inference(scs_inference,[],[85,108,83,62,633,642,635,332,585,596,204,665,28,18,29,644,74,25,12,17,39,23,31])).
% 0.54/1.33 cnf(687,plain,
% 0.54/1.33 (~P11(f4(f5(a1,x6871),x6872),a2)),
% 0.54/1.33 inference(scs_inference,[],[680,653])).
% 0.54/1.33 cnf(690,plain,
% 0.54/1.33 (~P3(x6901,f4(x6901,x6902))),
% 0.54/1.33 inference(rename_variables,[],[108])).
% 0.54/1.33 cnf(695,plain,
% 0.54/1.33 (P4(f4(f5(a1,x6951),x6952),f4(a2,x6953))),
% 0.54/1.33 inference(scs_inference,[],[108,78,655,680,611,653,28,31,18])).
% 0.54/1.33 cnf(697,plain,
% 0.54/1.33 (P4(f5(x6971,x6972),f4(x6971,x6973))),
% 0.54/1.33 inference(scs_inference,[],[108,690,78,83,655,680,611,653,28,31,18,29])).
% 0.54/1.33 cnf(700,plain,
% 0.54/1.33 (~P11(f5(x7001,x7002),f4(x7001,x7003))),
% 0.54/1.33 inference(scs_inference,[],[108,690,78,83,655,680,611,653,28,31,18,29,248])).
% 0.54/1.33 cnf(711,plain,
% 0.54/1.33 (~P4(f4(a2,x7111),f5(f4(a3,x7112),x7113))),
% 0.54/1.33 inference(scs_inference,[],[108,690,78,83,660,655,680,583,572,472,543,611,653,28,31,18,29,248,22,32,39,448])).
% 0.54/1.33 cnf(718,plain,
% 0.54/1.33 (~P4(f4(f4(a2,x7181),x7182),f4(a2,x7183))),
% 0.54/1.33 inference(scs_inference,[],[81,614,451,429,32,42])).
% 0.54/1.33 cnf(723,plain,
% 0.54/1.33 (~P4(f4(x7231,x7232),f5(f5(x7231,x7233),x7234))),
% 0.54/1.33 inference(scs_inference,[],[114,81,667,614,451,429,32,42,18,29])).
% 0.54/1.33 cnf(726,plain,
% 0.54/1.33 (P11(a1,f4(f4(a2,x7261),x7262))),
% 0.54/1.33 inference(scs_inference,[],[114,81,667,614,360,451,429,32,42,18,29,14])).
% 0.54/1.33 cnf(730,plain,
% 0.54/1.33 (~P3(x7301,f5(f5(x7301,x7302),x7303))+P5(x7304,f5(f5(x7301,x7302),x7303))),
% 0.54/1.33 inference(scs_inference,[],[114,81,667,700,711,614,360,451,642,429,204,32,42,18,29,14,15,44])).
% 0.54/1.33 cnf(738,plain,
% 0.54/1.33 (P3(f4(a2,x7381),f4(f5(a1,x7382),x7383))),
% 0.54/1.33 inference(scs_inference,[],[114,695,29])).
% 0.54/1.33 cnf(741,plain,
% 0.54/1.33 (~P3(x7411,f5(f5(x7411,x7412),x7413))),
% 0.54/1.33 inference(scs_inference,[],[114,695,204,29,730])).
% 0.54/1.33 cnf(748,plain,
% 0.54/1.33 (P4(f4(a2,x7481),f4(f5(a1,x7482),x7483))),
% 0.54/1.33 inference(scs_inference,[],[114,700,695,642,204,29,730,42,18])).
% 0.54/1.33 cnf(767,plain,
% 0.54/1.33 (~P4(a2,a1)),
% 0.54/1.33 inference(scs_inference,[],[78,697,741,748,384,726,723,687,429,204,18,74,12,25,17,23,42,29])).
% 0.54/1.33 cnf(779,plain,
% 0.54/1.33 (~P11(f5(a1,x7791),a2)),
% 0.54/1.33 inference(scs_inference,[],[767,627])).
% 0.54/1.33 cnf(780,plain,
% 0.54/1.33 (~P11(f4(f5(a1,x7801),x7802),f4(a2,x7803))),
% 0.54/1.33 inference(scs_inference,[],[363,695,642,41])).
% 0.54/1.33 cnf(784,plain,
% 0.54/1.33 (P3(a3,a1)),
% 0.54/1.33 inference(scs_inference,[],[81,767,363,695,642,41,29])).
% 0.54/1.33 cnf(788,plain,
% 0.54/1.33 (P11(f4(f5(a1,x7881),x7882),f4(a3,x7883))+P5(x7884,a2)),
% 0.54/1.33 inference(scs_inference,[],[81,738,767,594,655,363,695,642,204,41,29,22,44])).
% 0.54/1.33 cnf(791,plain,
% 0.54/1.33 (P4(a3,a1)),
% 0.54/1.33 inference(scs_inference,[],[81,738,767,594,655,363,695,642,204,41,29,22,44,31])).
% 0.54/1.33 cnf(801,plain,
% 0.54/1.33 (P11(f4(f5(a1,x8011),x8012),f4(a3,x8013))),
% 0.54/1.33 inference(scs_inference,[],[204,788])).
% 0.54/1.33 cnf(805,plain,
% 0.54/1.33 (~P4(f4(x8051,x8052),f4(x8051,x8053))),
% 0.54/1.33 inference(rename_variables,[],[114])).
% 0.54/1.33 cnf(807,plain,
% 0.54/1.33 (P4(f5(f4(a1,x8071),x8072),a2)),
% 0.54/1.33 inference(scs_inference,[],[62,114,711,553,124,38,31])).
% 0.54/1.33 cnf(812,plain,
% 0.54/1.33 (P4(a3,f4(f4(a1,x8121),x8122))),
% 0.54/1.33 inference(scs_inference,[],[62,120,117,114,791,711,553,124,38,31,18,29])).
% 0.54/1.33 cnf(813,plain,
% 0.54/1.33 (~P3(x8131,f4(f4(x8131,x8132),x8133))),
% 0.54/1.33 inference(rename_variables,[],[117])).
% 0.54/1.33 cnf(815,plain,
% 0.54/1.33 (P11(f5(a1,x8151),a3)),
% 0.54/1.33 inference(scs_inference,[],[62,120,117,114,81,791,779,711,553,124,38,31,18,29,32])).
% 0.54/1.33 cnf(828,plain,
% 0.54/1.33 (P3(a1,f4(f4(a3,x8281),x8282))),
% 0.54/1.33 inference(scs_inference,[],[62,120,117,813,114,805,81,791,780,779,784,718,748,711,553,124,642,38,31,18,29,32,14,37,39,15,28])).
% 0.54/1.33 cnf(841,plain,
% 0.54/1.33 (~P4(f4(f5(a1,x8411),x8412),f4(a3,x8413))),
% 0.54/1.33 inference(scs_inference,[],[801,812,780,700,535,32,42])).
% 0.54/1.33 cnf(848,plain,
% 0.54/1.33 (P4(a1,f4(f4(a3,x8481),x8482))),
% 0.54/1.33 inference(scs_inference,[],[117,801,812,828,780,784,700,535,32,42,28,18])).
% 0.54/1.33 cnf(870,plain,
% 0.54/1.33 (~P11(f5(a1,x8701),a2)),
% 0.54/1.33 inference(rename_variables,[],[779])).
% 0.54/1.33 cnf(885,plain,
% 0.54/1.33 ($false),
% 0.54/1.33 inference(scs_inference,[],[69,120,841,848,791,807,779,870,459,815,543,360,398,275,171,596,39,40,42,41,18,29]),
% 0.54/1.33 ['proof']).
% 0.54/1.33 % SZS output end Proof
% 0.54/1.33 % Total time :0.670000s
%------------------------------------------------------------------------------