TSTP Solution File: KRS201+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS201+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:39:38 EDT 2023

% Result   : Theorem 2.65s 2.76s
% Output   : CNFRefutation 2.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS201+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n004.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   : Mon Aug 28 01:32:37 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.19/0.53  start to proof:theBenchmark
% 2.65/2.75  %-------------------------------------------
% 2.65/2.75  % File        :CSE---1.6
% 2.65/2.75  % Problem     :theBenchmark
% 2.65/2.75  % Transform   :cnf
% 2.65/2.75  % Format      :tptp:raw
% 2.65/2.75  % Command     :java -jar mcs_scs.jar %d %s
% 2.65/2.75  
% 2.65/2.75  % Result      :Theorem 2.170000s
% 2.65/2.75  % Output      :CNFRefutation 2.170000s
% 2.65/2.75  %-------------------------------------------
% 2.65/2.76  %------------------------------------------------------------------------------
% 2.65/2.76  % File     : KRS201+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 2.65/2.76  % Domain   : Knowledge Representation
% 2.65/2.76  % Problem  : SAP nota THM
% 2.65/2.76  % Version  : [Sut08] axioms.
% 2.65/2.76  % English  :
% 2.65/2.76  
% 2.65/2.76  % Refs     : [Sut08] Sutcliffe (2008), The SZS Ontologies for Automated Rea
% 2.65/2.76  % Source   : [TPTP]
% 2.65/2.76  % Names    :
% 2.65/2.76  
% 2.65/2.76  % Status   : Theorem
% 2.65/2.76  % Rating   : 0.27 v8.1.0, 0.14 v7.5.0, 0.24 v7.4.0, 0.12 v7.3.0, 0.29 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.27 v6.1.0, 0.24 v6.0.0, 0.50 v5.5.0, 0.38 v5.4.0
% 2.65/2.76  % Syntax   : Number of formulae    :   33 (   3 unt;   0 def)
% 2.65/2.76  %            Number of atoms       :  107 (   0 equ)
% 2.65/2.76  %            Maximal formula atoms :    7 (   3 avg)
% 2.65/2.76  %            Number of connectives :   96 (  22   ~;   1   |;  35   &)
% 2.65/2.76  %                                         (  28 <=>;   8  =>;   0  <=;   2 <~>)
% 2.65/2.76  %            Maximal formula depth :   10 (   6 avg)
% 2.65/2.76  %            Maximal term depth    :    2 (   1 avg)
% 2.65/2.76  %            Number of predicates  :    7 (   7 usr;   0 prp; 2-3 aty)
% 2.65/2.76  %            Number of functors    :   20 (  20 usr;  19 con; 0-1 aty)
% 2.65/2.76  %            Number of variables   :  122 (  72   !;  50   ?)
% 2.65/2.76  % SPC      : FOF_THM_RFO_NEQ
% 2.65/2.76  
% 2.65/2.76  % Comments :
% 2.65/2.76  % Bugfixes : v5.4.0 - Added missing axiom in KRS001+1.ax
% 2.65/2.76  %------------------------------------------------------------------------------
% 2.65/2.76  %----Include SZS success ontology nodes
% 2.65/2.76  include('Axioms/KRS001+0.ax').
% 2.65/2.76  %----Include SZS success ontology node relationships
% 2.65/2.76  include('Axioms/KRS001+1.ax').
% 2.65/2.76  %------------------------------------------------------------------------------
% 2.65/2.76  fof(nota_sap_thm,conjecture,
% 2.65/2.76      nota(sap,thm) ).
% 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:109(EqnAxiom:0)
% 2.65/2.76  %VarNum:590(SingletonVarNum:249)
% 2.65/2.76  %MaxLitNum:6
% 2.65/2.76  %MaxfuncDepth:1
% 2.65/2.76  %SharedTerms:51
% 2.65/2.76  %goalClause: 13
% 2.65/2.76  %singleGoalClaCount:1
% 2.65/2.76  [1]P1(a1,a2)
% 2.65/2.76  [2]P1(a55,a56)
% 2.65/2.76  [3]P1(a55,a59)
% 2.65/2.76  [4]P1(a61,a62)
% 2.65/2.76  [5]P1(a65,a64)
% 2.65/2.76  [6]P1(a66,a68)
% 2.65/2.76  [7]P1(a69,a70)
% 2.65/2.76  [9]~P1(a57,a2)
% 2.65/2.76  [10]~P1(a65,a62)
% 2.65/2.76  [11]~P1(a67,a64)
% 2.65/2.76  [12]~P1(a66,a70)
% 2.65/2.76  [13]~P4(a72,a79)
% 2.65/2.76  [8]P1(x81,a3)
% 2.65/2.76  [14]~P1(x141,a58)
% 2.65/2.76  [18]~P1(a63,a56)+~P1(a63,a59)
% 2.65/2.76  [15]~P1(x151,a62)+P1(x151,a64)
% 2.65/2.76  [17]P1(x171,x172)+P1(x171,f73(x172))
% 2.65/2.76  [20]~P1(x201,x202)+~P1(x201,f73(x202))
% 2.65/2.76  [21]P6(x211,x212,a5)+P1(f4(x211),x211)
% 2.65/2.76  [24]P6(x241,x242,a85)+P1(f6(x241,x242),x242)
% 2.65/2.76  [25]P6(x251,x252,a72)+P1(f31(x251,x252),x251)
% 2.65/2.76  [26]P6(x261,x262,a79)+P1(f7(x261,x262),x261)
% 2.65/2.76  [42]P6(x421,x422,a79)+~P1(f7(x421,x422),x422)
% 2.65/2.76  [50]P2(x501,x502)+P6(f41(x501,x502),f47(x501,x502),x501)
% 2.65/2.76  [51]P5(x511,x512)+P6(f48(x511,x512),f51(x511,x512),x512)
% 2.65/2.76  [52]P5(x521,x522)+P6(f48(x521,x522),f51(x521,x522),x521)
% 2.65/2.76  [53]~P6(x531,x532,a81)+P1(f75(x531,x532),x532)
% 2.65/2.76  [54]~P6(x541,x542,a81)+P1(f75(x541,x542),x541)
% 2.65/2.76  [55]~P6(x551,x552,a10)+P1(f11(x551,x552),x551)
% 2.65/2.76  [56]~P6(x561,x562,a80)+P1(f13(x561,x562),x561)
% 2.65/2.76  [57]~P6(x571,x572,a89)+P1(f15(x571,x572),x571)
% 2.65/2.76  [58]~P6(x581,x582,a89)+P1(f17(x581,x582),x582)
% 2.65/2.76  [59]~P6(x591,x592,a74)+P1(f18(x591,x592),x591)
% 2.65/2.76  [60]~P6(x601,x602,a86)+P1(f20(x601,x602),x601)
% 2.65/2.76  [61]~P6(x611,x612,a90)+P1(f25(x611,x612),x611)
% 2.65/2.76  [62]~P6(x621,x622,a90)+P1(f28(x621,x622),x622)
% 2.65/2.76  [63]~P6(x631,x632,a82)+P1(f33(x631,x632),x632)
% 2.65/2.76  [64]~P6(x641,x642,a88)+P1(f34(x641,x642),x642)
% 2.65/2.76  [65]~P6(x651,x652,a9)+P1(f38(x651,x652),x651)
% 2.65/2.76  [66]~P6(x661,x662,a78)+P1(f42(x661,x662),x662)
% 2.65/2.76  [67]~P6(x671,x672,a78)+P1(f42(x671,x672),x671)
% 2.65/2.76  [68]~P6(x681,x682,a78)+P1(f44(x681,x682),x681)
% 2.65/2.76  [69]~P3(x691,x692)+P6(f45(x691,x692),f46(x691,x692),x692)
% 2.65/2.76  [70]~P3(x701,x702)+P6(f45(x701,x702),f46(x701,x702),x701)
% 2.65/2.76  [71]~P4(x711,x712)+P6(f49(x711,x712),f50(x711,x712),x711)
% 2.65/2.76  [72]~P6(x721,x722,a9)+P1(f38(x721,x722),f73(x722))
% 2.65/2.76  [73]~P6(x731,x732,a78)+P1(f44(x731,x732),f73(x732))
% 2.65/2.76  [82]~P6(x821,x822,a89)+~P1(f17(x821,x822),x821)
% 2.65/2.76  [83]~P6(x831,x832,a74)+~P1(f21(x831,x832),x831)
% 2.65/2.76  [84]~P6(x841,x842,a86)+~P1(f26(x841,x842),x841)
% 2.65/2.76  [85]~P6(x851,x852,a90)+~P1(f28(x851,x852),x851)
% 2.65/2.76  [86]~P6(x861,x862,a90)+~P1(f30(x861,x862),x862)
% 2.71/2.76  [87]~P6(x871,x872,a88)+~P1(f39(x871,x872),x872)
% 2.71/2.76  [99]P2(x991,x992)+~P6(f41(x991,x992),f47(x991,x992),x992)
% 2.71/2.76  [102]~P4(x1021,x1022)+~P6(f49(x1021,x1022),f50(x1021,x1022),x1022)
% 2.71/2.76  [22]~P1(x223,x222)+P6(x221,x222,a72)
% 2.71/2.76  [23]~P1(x233,x231)+P6(x231,x232,a85)
% 2.71/2.76  [27]P1(x271,x272)+~P6(x273,x272,a80)
% 2.71/2.76  [28]P1(x281,x282)+~P6(x283,x282,a83)
% 2.71/2.76  [29]P1(x291,x292)+~P6(x293,x292,a86)
% 2.71/2.76  [30]P1(x301,x302)+~P6(x303,x302,a84)
% 2.71/2.76  [31]P1(x311,x312)+~P6(x312,x313,a83)
% 2.71/2.76  [32]P1(x321,x322)+~P6(x322,x323,a87)
% 2.71/2.76  [36]~P1(x361,x362)+~P6(x362,x363,a5)
% 2.71/2.76  [37]~P1(x371,x372)+~P6(x372,x373,a82)
% 2.71/2.76  [38]~P1(x381,x382)+~P6(x382,x383,a84)
% 2.71/2.76  [39]~P1(x391,x392)+~P6(x392,x393,a88)
% 2.71/2.76  [35]~P6(x353,x352,a87)+P1(x351,f73(x352))
% 2.71/2.76  [76]P6(x761,x762,a8)+P1(f60(x761,x762),x761)+P1(f71(x761,x762),x762)
% 2.71/2.76  [93]P6(x931,x932,a84)+P1(f36(x931,x932),x931)+~P1(f37(x931,x932),x932)
% 2.71/2.76  [98]P6(x981,x982,a83)+~P1(f23(x981,x982),x981)+~P1(f24(x981,x982),x982)
% 2.71/2.76  [101]P6(x1011,x1012,a87)+~P1(f40(x1011,x1012),x1011)+~P1(f43(x1011,x1012),f73(x1012))
% 2.71/2.76  [108]P7(x1081,x1082)+P6(f53(x1081,x1082),f54(x1081,x1082),x1082)+~P6(f53(x1081,x1082),f54(x1081,x1082),x1081)
% 2.71/2.76  [109]P7(x1091,x1092)+P6(f53(x1091,x1092),f54(x1091,x1092),x1091)+~P6(f53(x1091,x1092),f54(x1091,x1092),x1092)
% 2.71/2.76  [34]~P1(x343,x341)+~P1(x343,x342)+P6(x341,x342,a81)
% 2.71/2.76  [43]P1(x431,x432)+~P1(x431,x433)+~P6(x433,x432,a79)
% 2.71/2.76  [44]P1(x441,x442)+~P1(x441,x443)+~P6(x442,x443,a10)
% 2.71/2.76  [45]P1(x451,x452)+~P1(x451,x453)+~P6(x452,x453,a74)
% 2.71/2.76  [46]P1(x461,x462)+~P1(x461,x463)+~P6(x463,x462,a10)
% 2.71/2.76  [47]P1(x471,x472)+~P1(x471,x473)+~P6(x473,x472,a89)
% 2.71/2.77  [48]P1(x481,x482)+~P1(x481,x483)+~P6(x483,x482,a74)
% 2.71/2.77  [49]P1(x491,x492)+~P1(x491,x493)+~P6(x493,x492,a90)
% 2.71/2.77  [40]~P1(x403,x401)+P6(x401,x402,a9)+~P1(x403,f73(x402))
% 2.71/2.77  [41]~P1(x413,x412)+P6(x411,x412,a82)+P1(f32(x411,x412),x411)
% 2.71/2.77  [77]~P1(x773,x771)+P6(x771,x772,a80)+~P1(f14(x771,x772),x772)
% 2.71/2.77  [78]~P1(x783,x782)+~P6(x781,x782,a85)+P1(f29(x781,x782),x781)
% 2.71/2.77  [79]~P1(x793,x791)+~P6(x791,x792,a72)+P1(f52(x791,x792),x792)
% 2.71/2.77  [80]~P1(x803,x801)+~P6(x801,x802,a8)+P1(f76(x801,x802),x802)
% 2.71/2.77  [81]~P1(x813,x812)+~P6(x811,x812,a8)+P1(f77(x811,x812),x811)
% 2.71/2.77  [33]~P1(x333,x332)+~P1(x334,x331)+P6(x331,x332,a8)
% 2.71/2.77  [75]~P7(x754,x753)+P6(x751,x752,x753)+P6(x751,x752,x754)
% 2.71/2.77  [91]~P6(x913,x914,x911)+P4(x911,x912)+P6(x913,x914,x912)
% 2.71/2.77  [94]~P6(x941,x942,x944)+P6(x941,x942,x943)+~P2(x944,x943)
% 2.71/2.77  [100]~P6(x1003,x1004,x1001)+P3(x1001,x1002)+~P6(x1003,x1004,x1002)
% 2.71/2.77  [104]~P6(x1043,x1044,x1041)+~P5(x1041,x1042)+~P6(x1043,x1044,x1042)
% 2.71/2.77  [105]~P6(x1053,x1054,x1051)+~P7(x1051,x1052)+~P6(x1053,x1054,x1052)
% 2.71/2.77  [92]~P1(x923,x921)+P6(x921,x922,a10)+P1(f12(x921,x922),x922)+P1(f12(x921,x922),x921)
% 2.71/2.77  [106]~P1(x1063,x1061)+P6(x1061,x1062,a10)+~P1(f12(x1061,x1062),x1062)+~P1(f12(x1061,x1062),x1061)
% 2.71/2.77  [74]P1(x741,x742)+~P1(x744,x742)+P6(x743,x742,a88)+P1(f35(x743,x742),x743)
% 2.71/2.77  [90]P1(x901,x902)+~P1(x904,x902)+P6(x902,x903,a86)+~P1(f22(x902,x903),x903)
% 2.71/2.77  [88]~P1(x881,x883)+P1(x881,x882)+~P1(x884,x882)+P6(x882,x883,a89)+P1(f16(x882,x883),x882)
% 2.71/2.77  [89]~P1(x894,x891)+~P1(x893,x891)+~P1(x894,x892)+P6(x891,x892,a78)+~P1(x893,f73(x892))
% 2.71/2.77  [96]P1(x961,x962)+~P1(x964,x962)+P6(x962,x963,a74)+P1(f19(x962,x963),x963)+P1(f19(x962,x963),x962)
% 2.71/2.77  [97]~P1(x971,x973)+P1(x971,x972)+~P1(x974,x972)+P6(x972,x973,a89)+~P1(f16(x972,x973),x973)
% 2.71/2.77  [107]P1(x1071,x1072)+~P1(x1074,x1072)+P6(x1072,x1073,a74)+~P1(f19(x1072,x1073),x1073)+~P1(f19(x1072,x1073),x1072)
% 2.71/2.77  [95]~P1(x953,x952)+P1(x951,x952)+P1(x953,x954)+~P1(x955,x954)+P6(x954,x952,a90)+P1(f27(x954,x952),x954)
% 2.71/2.77  [103]~P1(x1033,x1032)+P1(x1031,x1032)+P1(x1033,x1034)+~P1(x1035,x1034)+P6(x1034,x1032,a90)+~P1(f27(x1034,x1032),x1032)
% 2.71/2.77  %EqnAxiom
% 2.71/2.77  
% 2.71/2.77  %-------------------------------------------
% 2.71/2.77  cnf(110,plain,
% 2.71/2.77     (~P1(a67,a62)),
% 2.71/2.77     inference(scs_inference,[],[11,15])).
% 2.71/2.77  cnf(111,plain,
% 2.71/2.77     (P6(a58,x1111,a5)),
% 2.71/2.77     inference(scs_inference,[],[14,11,15,21])).
% 2.71/2.77  cnf(112,plain,
% 2.71/2.77     (~P1(x1121,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(114,plain,
% 2.71/2.77     (~P6(x1141,a3,a88)),
% 2.71/2.77     inference(scs_inference,[],[8,14,11,15,21,87])).
% 2.71/2.77  cnf(115,plain,
% 2.71/2.77     (P1(x1151,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(117,plain,
% 2.71/2.77     (~P6(x1171,a3,a90)),
% 2.71/2.77     inference(scs_inference,[],[8,115,14,11,15,21,87,86])).
% 2.71/2.77  cnf(118,plain,
% 2.71/2.77     (P1(x1181,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(120,plain,
% 2.71/2.77     (~P6(a3,x1201,a90)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,14,11,15,21,87,86,85])).
% 2.71/2.77  cnf(121,plain,
% 2.71/2.77     (P1(x1211,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(123,plain,
% 2.71/2.77     (~P6(a3,x1231,a86)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,14,11,15,21,87,86,85,84])).
% 2.71/2.77  cnf(124,plain,
% 2.71/2.77     (P1(x1241,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(126,plain,
% 2.71/2.77     (~P6(a3,x1261,a74)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,14,11,15,21,87,86,85,84,83])).
% 2.71/2.77  cnf(127,plain,
% 2.71/2.77     (P1(x1271,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(129,plain,
% 2.71/2.77     (~P6(a3,x1291,a89)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,14,11,15,21,87,86,85,84,83,82])).
% 2.71/2.77  cnf(130,plain,
% 2.71/2.77     (P1(x1301,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(132,plain,
% 2.71/2.77     (~P6(a58,x1321,a78)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,14,112,11,15,21,87,86,85,84,83,82,68])).
% 2.71/2.77  cnf(133,plain,
% 2.71/2.77     (~P1(x1331,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(136,plain,
% 2.71/2.77     (~P1(x1361,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(139,plain,
% 2.71/2.77     (~P1(x1391,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(142,plain,
% 2.71/2.77     (~P1(x1421,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(145,plain,
% 2.71/2.77     (~P1(x1451,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(148,plain,
% 2.71/2.77     (~P1(x1481,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(151,plain,
% 2.71/2.77     (~P1(x1511,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(154,plain,
% 2.71/2.77     (~P1(x1541,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(157,plain,
% 2.71/2.77     (~P1(x1571,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(160,plain,
% 2.71/2.77     (~P1(x1601,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(163,plain,
% 2.71/2.77     (~P1(x1631,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(166,plain,
% 2.71/2.77     (~P1(x1661,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(169,plain,
% 2.71/2.77     (~P1(x1691,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(172,plain,
% 2.71/2.77     (~P1(x1721,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(175,plain,
% 2.71/2.77     (~P1(x1751,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(177,plain,
% 2.71/2.77     (P6(x1771,a3,a79)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42])).
% 2.71/2.77  cnf(178,plain,
% 2.71/2.77     (P1(x1781,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(181,plain,
% 2.71/2.77     (~P1(x1811,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(184,plain,
% 2.71/2.77     (~P1(x1841,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(187,plain,
% 2.71/2.77     (~P1(x1871,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(200,plain,
% 2.71/2.77     (~P1(x2001,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(203,plain,
% 2.71/2.77     (~P1(x2031,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(206,plain,
% 2.71/2.77     (~P1(x2061,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(207,plain,
% 2.71/2.77     (P1(x2071,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(211,plain,
% 2.71/2.77     (P1(x2111,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(237,plain,
% 2.71/2.77     (~P1(x2371,f73(a3))),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20])).
% 2.71/2.77  cnf(239,plain,
% 2.71/2.77     (P1(x2391,f73(a58))),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17])).
% 2.71/2.77  cnf(241,plain,
% 2.71/2.77     (~P6(f49(a5,a88),f50(a5,a88),a88)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102])).
% 2.71/2.77  cnf(243,plain,
% 2.71/2.77     (P6(f49(a5,a88),f50(a5,a88),a5)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71])).
% 2.71/2.77  cnf(245,plain,
% 2.71/2.77     (P6(f45(a5,a5),f46(a5,a5),a5)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71,70])).
% 2.71/2.77  cnf(247,plain,
% 2.71/2.77     (P6(f48(a5,a5),f51(a5,a5),a5)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71,70,52])).
% 2.71/2.77  cnf(249,plain,
% 2.71/2.77     (~P2(a5,a88)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71,70,52,94])).
% 2.71/2.77  cnf(252,plain,
% 2.71/2.77     (~P1(x2521,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(255,plain,
% 2.71/2.77     (P1(x2551,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(257,plain,
% 2.71/2.77     (~P6(a2,a3,a10)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,255,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,9,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71,70,52,94,46,45,44])).
% 2.71/2.77  cnf(258,plain,
% 2.71/2.77     (P1(x2581,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(261,plain,
% 2.71/2.77     (~P1(x2611,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(269,plain,
% 2.71/2.77     (~P6(a2,a58,a74)),
% 2.71/2.77     inference(scs_inference,[],[8,115,118,121,124,127,130,178,207,211,255,258,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,252,261,1,9,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,71,70,52,94,46,45,44,43,34,33,35,48])).
% 2.71/2.77  cnf(309,plain,
% 2.71/2.77     (P6(f41(a5,a88),f47(a5,a88),a5)),
% 2.71/2.77     inference(scs_inference,[],[249,99,50])).
% 2.71/2.77  cnf(312,plain,
% 2.71/2.77     (P1(x3121,f73(a58))),
% 2.71/2.77     inference(rename_variables,[],[239])).
% 2.71/2.77  cnf(313,plain,
% 2.71/2.77     (P1(x3131,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(316,plain,
% 2.71/2.77     (P1(x3161,a3)),
% 2.71/2.77     inference(rename_variables,[],[8])).
% 2.71/2.77  cnf(317,plain,
% 2.71/2.77     (P1(x3171,f73(a58))),
% 2.71/2.77     inference(rename_variables,[],[239])).
% 2.71/2.77  cnf(320,plain,
% 2.71/2.77     (~P1(x3201,a58)),
% 2.71/2.77     inference(rename_variables,[],[14])).
% 2.71/2.77  cnf(325,plain,
% 2.71/2.77     (~P5(a79,a5)),
% 2.71/2.77     inference(scs_inference,[],[4,8,313,14,237,239,312,111,177,249,99,50,101,98,76,15,104])).
% 2.71/2.77  cnf(326,plain,
% 2.71/2.77     (P6(x3261,a3,a79)),
% 2.71/2.77     inference(rename_variables,[],[177])).
% 2.71/2.77  cnf(327,plain,
% 2.71/2.77     (P6(a58,x3271,a5)),
% 2.71/2.77     inference(rename_variables,[],[111])).
% 2.71/2.77  cnf(331,plain,
% 2.71/2.77     (P1(f19(a2,a58),a2)),
% 2.71/2.77     inference(scs_inference,[],[10,4,5,8,313,14,320,9,1,237,239,312,111,177,249,269,99,50,101,98,76,15,104,45,96])).
% 2.71/2.78  cnf(332,plain,
% 2.71/2.78     (~P1(x3321,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(335,plain,
% 2.71/2.78     (P1(x3351,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(337,plain,
% 2.71/2.78     (~P1(x3371,f45(a5,a5))),
% 2.71/2.78     inference(scs_inference,[],[10,4,5,8,313,316,14,320,9,1,245,237,239,312,111,177,249,269,99,50,101,98,76,15,104,45,96,90,36])).
% 2.71/2.78  cnf(341,plain,
% 2.71/2.78     (P3(a79,a5)),
% 2.71/2.78     inference(scs_inference,[],[10,4,5,8,313,316,14,320,9,1,245,237,239,312,111,327,177,326,249,269,99,50,101,98,76,15,104,45,96,90,36,60,100])).
% 2.71/2.78  cnf(342,plain,
% 2.71/2.78     (P6(x3421,a3,a79)),
% 2.71/2.78     inference(rename_variables,[],[177])).
% 2.71/2.78  cnf(343,plain,
% 2.71/2.78     (P6(a58,x3431,a5)),
% 2.71/2.78     inference(rename_variables,[],[111])).
% 2.71/2.78  cnf(345,plain,
% 2.71/2.78     (~P2(a5,a90)),
% 2.71/2.78     inference(scs_inference,[],[10,4,5,8,313,316,14,320,9,1,245,237,239,312,111,327,343,117,177,326,249,269,99,50,101,98,76,15,104,45,96,90,36,60,100,94])).
% 2.71/2.78  cnf(347,plain,
% 2.71/2.78     (P6(a58,x3471,a5)),
% 2.71/2.78     inference(rename_variables,[],[111])).
% 2.71/2.78  cnf(349,plain,
% 2.71/2.78     (P4(a79,a88)),
% 2.71/2.78     inference(scs_inference,[],[10,4,5,8,313,316,14,320,9,1,245,237,239,312,111,327,343,114,117,177,326,342,249,269,99,50,101,98,76,15,104,45,96,90,36,60,100,94,91])).
% 2.71/2.78  cnf(350,plain,
% 2.71/2.78     (P6(x3501,a3,a79)),
% 2.71/2.78     inference(rename_variables,[],[177])).
% 2.71/2.78  cnf(363,plain,
% 2.71/2.78     (~P6(a59,a58,a10)),
% 2.71/2.78     inference(scs_inference,[],[10,3,4,5,8,313,316,335,14,320,332,9,1,245,237,239,312,317,111,327,343,347,114,117,177,326,342,350,249,269,99,50,101,98,76,15,104,45,96,90,36,60,100,94,91,33,106,105,46])).
% 2.71/2.78  cnf(412,plain,
% 2.71/2.78     (~P1(x4121,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(415,plain,
% 2.71/2.78     (~P1(x4151,f45(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[337])).
% 2.71/2.78  cnf(418,plain,
% 2.71/2.78     (~P6(a68,a70,a89)),
% 2.71/2.78     inference(scs_inference,[],[12,6,14,412,3,337,363,92,76,47])).
% 2.71/2.78  cnf(421,plain,
% 2.71/2.78     (~P1(x4211,f45(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[337])).
% 2.71/2.78  cnf(423,plain,
% 2.71/2.78     (~P6(a68,a70,a90)),
% 2.71/2.78     inference(scs_inference,[],[12,6,14,412,3,337,415,363,92,76,47,64,49])).
% 2.71/2.78  cnf(426,plain,
% 2.71/2.78     (P1(x4261,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(429,plain,
% 2.71/2.78     (P1(x4291,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(432,plain,
% 2.71/2.78     (~P1(x4321,f45(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[337])).
% 2.71/2.78  cnf(447,plain,
% 2.71/2.78     (P1(f4(a2),a2)),
% 2.71/2.78     inference(scs_inference,[],[1,12,6,7,8,14,412,3,337,415,421,432,257,363,239,426,429,92,76,47,64,49,87,84,57,60,106,36,82,88,21])).
% 2.71/2.78  cnf(466,plain,
% 2.71/2.78     (~P1(x4661,f48(a5,a5))),
% 2.71/2.78     inference(scs_inference,[],[247,337,239,21,106,36])).
% 2.71/2.78  cnf(474,plain,
% 2.71/2.78     (P1(x4741,a56)+P6(a56,a58,a74)+P1(f19(a56,a58),a56)),
% 2.71/2.78     inference(scs_inference,[],[1,2,7,14,6,247,241,418,337,239,21,106,36,89,97,74,96])).
% 2.71/2.78  cnf(477,plain,
% 2.71/2.78     (P6(a56,a58,a74)+P1(f19(a56,a58),a56)),
% 2.71/2.78     inference(factoring_inference,[],[474])).
% 2.71/2.78  cnf(481,plain,
% 2.71/2.78     (~P1(x4811,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(483,plain,
% 2.71/2.78     (~P6(f48(a5,a5),x4831,a78)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,36,74,68])).
% 2.71/2.78  cnf(484,plain,
% 2.71/2.78     (~P1(x4841,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(486,plain,
% 2.71/2.78     (~P6(x4861,f48(a5,a5),a78)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,36,74,68,66])).
% 2.71/2.78  cnf(487,plain,
% 2.71/2.78     (~P1(x4871,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(492,plain,
% 2.71/2.78     (P1(x4921,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(495,plain,
% 2.71/2.78     (~P1(x4951,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(498,plain,
% 2.71/2.78     (P1(x4981,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(501,plain,
% 2.71/2.78     (~P1(x5011,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(504,plain,
% 2.71/2.78     (~P1(x5041,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(506,plain,
% 2.71/2.78     (~P6(a56,x5061,a88)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,349,239,492,36,74,68,66,102,85,62,86,61,59,39])).
% 2.71/2.78  cnf(508,plain,
% 2.71/2.78     (~P6(a56,x5081,a84)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,349,239,492,36,74,68,66,102,85,62,86,61,59,39,38])).
% 2.71/2.78  cnf(510,plain,
% 2.71/2.78     (~P6(a56,x5101,a82)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,349,239,492,36,74,68,66,102,85,62,86,61,59,39,38,37])).
% 2.71/2.78  cnf(512,plain,
% 2.71/2.78     (P6(a56,x5121,a85)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,349,239,492,36,74,68,66,102,85,62,86,61,59,39,38,37,23])).
% 2.71/2.78  cnf(514,plain,
% 2.71/2.78     (P6(x5141,a56,a72)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,349,239,492,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22])).
% 2.71/2.78  cnf(517,plain,
% 2.71/2.78     (~P1(x5171,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(520,plain,
% 2.71/2.78     (~P1(x5201,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(523,plain,
% 2.71/2.78     (~P1(x5231,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(526,plain,
% 2.71/2.78     (~P1(x5261,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(528,plain,
% 2.71/2.78     (P6(x5281,f73(a58),a79)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,349,239,492,498,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42])).
% 2.71/2.78  cnf(529,plain,
% 2.71/2.78     (P1(x5291,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(531,plain,
% 2.71/2.78     (P6(f48(a5,a5),x5311,a79)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,349,239,492,498,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26])).
% 2.71/2.78  cnf(532,plain,
% 2.71/2.78     (~P1(x5321,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(534,plain,
% 2.71/2.78     (P6(x5341,f48(a5,a5),a85)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,349,239,492,498,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24])).
% 2.71/2.78  cnf(535,plain,
% 2.71/2.78     (~P1(x5351,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(537,plain,
% 2.71/2.78     (~P6(a62,x5371,a87)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,349,239,492,498,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32])).
% 2.71/2.78  cnf(539,plain,
% 2.71/2.78     (~P1(a55,f73(a56))),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,349,239,492,498,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20])).
% 2.71/2.78  cnf(548,plain,
% 2.71/2.78     (~P1(x5481,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(551,plain,
% 2.71/2.78     (P1(x5511,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(553,plain,
% 2.71/2.78     (~P6(a62,x5531,a83)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,535,325,341,349,239,492,498,529,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31])).
% 2.71/2.78  cnf(555,plain,
% 2.71/2.78     (~P6(x5551,a62,a84)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,535,325,341,349,239,492,498,529,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31,30])).
% 2.71/2.78  cnf(559,plain,
% 2.71/2.78     (~P6(x5591,a62,a80)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,535,325,341,349,239,492,498,529,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31,30,28,27])).
% 2.71/2.78  cnf(562,plain,
% 2.71/2.78     (~P1(x5621,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(565,plain,
% 2.71/2.78     (~P1(x5651,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(567,plain,
% 2.71/2.78     (~P6(x5671,a62,a86)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,535,548,562,325,341,349,239,492,498,529,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31,30,28,27,54,25,29])).
% 2.71/2.78  cnf(579,plain,
% 2.71/2.78     (P1(f34(f48(a5,a5),a62),a62)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,466,481,484,487,495,501,504,517,520,523,526,532,535,548,562,565,325,341,349,239,492,498,529,551,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31,30,28,27,54,25,29,17,55,101,90,64])).
% 2.71/2.78  cnf(585,plain,
% 2.71/2.78     (~P1(a67,a3)+P6(a62,a3,a89)),
% 2.71/2.78     inference(scs_inference,[],[2,110,4,8,466,481,484,487,495,501,504,517,520,523,526,532,535,548,562,565,325,341,349,239,492,498,529,551,36,74,68,66,102,85,62,86,61,59,39,38,37,23,22,65,63,56,53,42,26,24,32,20,71,70,52,58,83,31,30,28,27,54,25,29,17,55,101,90,64,21,87,97])).
% 2.71/2.78  cnf(617,plain,
% 2.71/2.78     (P6(a62,a3,a89)),
% 2.71/2.78     inference(scs_inference,[],[8,585])).
% 2.71/2.78  cnf(618,plain,
% 2.71/2.78     (P1(x6181,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(619,plain,
% 2.71/2.78     (~P6(x6191,a56,a87)),
% 2.71/2.78     inference(scs_inference,[],[8,539,585,35])).
% 2.71/2.78  cnf(623,plain,
% 2.71/2.78     (P1(x6231,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(626,plain,
% 2.71/2.78     (~P1(x6261,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(631,plain,
% 2.71/2.78     (P1(x6311,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(634,plain,
% 2.71/2.78     (~P1(x6341,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(637,plain,
% 2.71/2.78     (~P1(x6371,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(640,plain,
% 2.71/2.78     (~P1(x6401,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(643,plain,
% 2.71/2.78     (~P1(x6431,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(646,plain,
% 2.71/2.78     (~P1(x6461,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(651,plain,
% 2.71/2.78     (~P1(x6511,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(654,plain,
% 2.71/2.78     (~P1(x6541,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(658,plain,
% 2.71/2.78     (~P1(x6581,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(661,plain,
% 2.71/2.78     (P1(x6611,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(664,plain,
% 2.71/2.78     (P1(x6641,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(668,plain,
% 2.71/2.78     (P1(f15(a62,a3),a62)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,14,637,640,643,646,651,654,5,483,539,553,466,626,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57])).
% 2.71/2.78  cnf(673,plain,
% 2.71/2.78     (~P1(x6731,f48(a5,a5))),
% 2.71/2.78     inference(rename_variables,[],[466])).
% 2.71/2.78  cnf(678,plain,
% 2.71/2.78     (~P1(x6781,f49(a5,a88))),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,14,637,640,643,646,651,654,5,243,483,539,553,466,626,634,673,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36])).
% 2.71/2.78  cnf(680,plain,
% 2.71/2.78     (~P6(a3,a64,a10)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,664,14,637,640,643,646,651,654,5,243,483,539,553,466,626,634,673,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46])).
% 2.71/2.78  cnf(681,plain,
% 2.71/2.78     (P1(x6811,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(684,plain,
% 2.71/2.78     (P1(x6841,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(689,plain,
% 2.71/2.78     (P1(f19(a56,a58),a56)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,243,483,539,506,553,466,626,634,673,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477])).
% 2.71/2.78  cnf(692,plain,
% 2.71/2.78     (P6(f45(a79,a5),f46(a79,a5),a5)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,243,483,539,506,553,345,466,626,634,673,341,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69])).
% 2.71/2.78  cnf(694,plain,
% 2.71/2.78     (P6(f48(a79,a5),f51(a79,a5),a5)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,243,483,539,506,553,345,466,626,634,673,325,341,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51])).
% 2.71/2.78  cnf(696,plain,
% 2.71/2.78     (~P6(f45(a5,a5),x6961,a78)),
% 2.71/2.78     inference(scs_inference,[],[2,11,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,243,483,539,506,553,345,466,626,634,673,325,341,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67])).
% 2.71/2.78  cnf(701,plain,
% 2.71/2.78     (P6(f41(a5,a90),f47(a5,a90),a5)),
% 2.71/2.78     inference(scs_inference,[],[2,11,7,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,6,243,483,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50])).
% 2.71/2.78  cnf(707,plain,
% 2.71/2.78     (~P2(a5,a78)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,6,243,483,486,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94])).
% 2.71/2.78  cnf(711,plain,
% 2.71/2.78     (~P5(a79,a79)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,6,243,483,486,531,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104])).
% 2.71/2.78  cnf(713,plain,
% 2.71/2.78     (P3(a79,a79)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,14,637,640,643,646,651,654,5,6,243,483,486,531,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104,100])).
% 2.71/2.78  cnf(716,plain,
% 2.71/2.78     (P1(x7161,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(722,plain,
% 2.71/2.78     (P4(a79,a78)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,684,14,637,640,643,646,651,654,5,6,243,483,486,531,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104,100,45,63,24,91])).
% 2.71/2.78  cnf(731,plain,
% 2.71/2.78     (P6(a56,a56,a8)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,684,14,637,640,643,646,651,654,5,6,243,483,486,531,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104,100,45,63,24,91,15,105,60,33])).
% 2.71/2.78  cnf(733,plain,
% 2.71/2.78     (~P1(f19(a64,a3),a64)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,8,618,623,631,661,664,681,684,716,14,637,640,643,646,651,654,5,6,243,483,486,531,539,506,553,345,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104,100,45,63,24,91,15,105,60,33,107])).
% 2.71/2.78  cnf(734,plain,
% 2.71/2.78     (P1(x7341,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(743,plain,
% 2.71/2.78     (P6(a64,a3,a89)+~P1(f16(a64,a3),a3)),
% 2.71/2.78     inference(scs_inference,[],[2,111,11,7,12,8,618,623,631,661,664,681,684,716,734,14,637,640,643,646,651,654,658,5,6,243,483,486,531,539,506,553,345,423,466,626,634,673,325,341,418,337,239,585,35,98,80,75,77,76,79,78,41,81,25,48,43,93,44,90,82,57,84,64,21,36,46,106,74,477,99,69,51,67,88,50,56,26,94,104,100,45,63,24,91,15,105,60,33,107,95,92,103,97])).
% 2.71/2.78  cnf(751,plain,
% 2.71/2.78     (P1(x7511,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(752,plain,
% 2.71/2.78     (P1(x7521,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(755,plain,
% 2.71/2.78     (~P1(x7551,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(758,plain,
% 2.71/2.78     (P1(x7581,f73(a58))),
% 2.71/2.78     inference(rename_variables,[],[239])).
% 2.71/2.78  cnf(763,plain,
% 2.71/2.78     (~P2(a85,a78)),
% 2.71/2.78     inference(scs_inference,[],[8,678,689,696,534,619,731,239,752,98,56,101,80,94])).
% 2.71/2.78  cnf(768,plain,
% 2.71/2.78     (P1(x7681,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(773,plain,
% 2.71/2.78     (~P1(x7731,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(777,plain,
% 2.71/2.78     (P6(a58,f49(a5,a88),a8)),
% 2.71/2.78     inference(scs_inference,[],[8,751,12,14,678,755,773,689,696,534,579,619,731,239,752,98,56,101,80,94,45,15,26,17,76])).
% 2.71/2.78  cnf(778,plain,
% 2.71/2.78     (~P1(x7781,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(779,plain,
% 2.71/2.78     (~P1(x7791,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(789,plain,
% 2.71/2.78     (~P5(a89,a89)),
% 2.71/2.78     inference(scs_inference,[],[3,8,751,12,14,617,678,755,773,689,696,534,579,512,514,619,731,239,752,98,56,101,80,94,45,15,26,17,76,79,78,81,104])).
% 2.71/2.78  cnf(791,plain,
% 2.71/2.78     (P3(a89,a89)),
% 2.71/2.78     inference(scs_inference,[],[3,8,751,12,14,617,678,755,773,689,696,534,579,512,514,619,731,239,752,98,56,101,80,94,45,15,26,17,76,79,78,81,104,100])).
% 2.71/2.78  cnf(794,plain,
% 2.71/2.78     (~P1(x7941,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(797,plain,
% 2.71/2.78     (~P1(x7971,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(800,plain,
% 2.71/2.78     (~P1(x8001,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(802,plain,
% 2.71/2.78     (P4(a89,a88)),
% 2.71/2.78     inference(scs_inference,[],[3,114,8,751,12,14,617,678,755,773,779,794,797,689,696,534,579,512,514,619,731,239,752,98,56,101,80,94,45,15,26,17,76,79,78,81,104,100,25,63,24,91])).
% 2.71/2.78  cnf(812,plain,
% 2.71/2.78     (~P1(x8121,f49(a5,a88))),
% 2.71/2.78     inference(rename_variables,[],[678])).
% 2.71/2.78  cnf(819,plain,
% 2.71/2.78     (P6(a70,a70,a8)),
% 2.71/2.78     inference(scs_inference,[],[3,114,8,751,12,14,7,617,678,755,773,779,794,797,800,812,689,696,534,579,510,512,514,559,619,731,239,752,98,56,101,80,94,45,15,26,17,76,79,78,81,104,100,25,63,24,91,77,41,57,105,60,33])).
% 2.71/2.78  cnf(824,plain,
% 2.71/2.78     (~P1(x8241,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(838,plain,
% 2.71/2.78     (P1(x8381,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(840,plain,
% 2.71/2.78     (P6(a64,a3,a89)),
% 2.71/2.78     inference(scs_inference,[],[3,114,8,751,768,838,12,14,778,824,7,6,617,678,755,773,779,794,797,800,812,689,696,534,579,510,512,514,555,559,567,619,731,239,752,758,98,56,101,80,94,45,15,26,17,76,79,78,81,104,100,25,63,24,91,77,41,57,105,60,33,44,93,90,46,36,106,743])).
% 2.71/2.78  cnf(862,plain,
% 2.71/2.78     (~P6(a59,a58,a8)),
% 2.71/2.78     inference(scs_inference,[],[3,14,80])).
% 2.71/2.78  cnf(863,plain,
% 2.71/2.78     (~P1(x8631,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(867,plain,
% 2.71/2.78     (P1(a65,f73(a62))),
% 2.71/2.78     inference(scs_inference,[],[3,10,14,733,80,15,17])).
% 2.71/2.78  cnf(871,plain,
% 2.71/2.78     (~P6(a58,a59,a8)),
% 2.71/2.78     inference(scs_inference,[],[3,10,14,863,733,80,15,17,47,81])).
% 2.71/2.78  cnf(872,plain,
% 2.71/2.78     (~P1(x8721,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(876,plain,
% 2.71/2.78     (~P1(x8761,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(882,plain,
% 2.71/2.78     (P1(x8821,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(884,plain,
% 2.71/2.78     (~P1(x8841,f48(a79,a5))),
% 2.71/2.78     inference(scs_inference,[],[3,8,10,14,863,872,694,508,733,840,237,80,15,17,47,81,76,57,93,36])).
% 2.71/2.78  cnf(889,plain,
% 2.71/2.78     (~P1(f12(a3,a64),a64)),
% 2.71/2.78     inference(scs_inference,[],[3,8,882,10,14,863,872,694,508,733,680,840,678,237,80,15,17,47,81,76,57,93,36,21,106])).
% 2.71/2.78  cnf(890,plain,
% 2.71/2.78     (P1(x8901,a3)),
% 2.71/2.78     inference(rename_variables,[],[8])).
% 2.71/2.78  cnf(895,plain,
% 2.71/2.78     (P6(a58,a64,a88)),
% 2.71/2.78     inference(scs_inference,[],[3,8,882,890,10,14,863,872,876,11,9,5,694,508,733,680,840,447,678,237,80,15,17,47,81,76,57,93,36,21,106,88,74])).
% 2.71/2.78  cnf(941,plain,
% 2.71/2.78     (~P1(x9411,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(944,plain,
% 2.71/2.78     (~P1(x9441,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(947,plain,
% 2.71/2.78     (~P1(x9471,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(952,plain,
% 2.71/2.78     (~P1(x9521,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(955,plain,
% 2.71/2.78     (~P1(x9551,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(960,plain,
% 2.71/2.78     (~P1(x9601,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(963,plain,
% 2.71/2.78     (~P1(x9631,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(966,plain,
% 2.71/2.78     (~P1(x9661,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(969,plain,
% 2.71/2.78     (~P1(x9691,a58)),
% 2.71/2.78     inference(rename_variables,[],[14])).
% 2.71/2.78  cnf(976,plain,
% 2.71/2.78     (~P1(x9761,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(979,plain,
% 2.71/2.78     (~P1(x9791,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(982,plain,
% 2.71/2.78     (~P1(x9821,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(985,plain,
% 2.71/2.78     (~P1(x9851,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(987,plain,
% 2.71/2.78     (~P6(a62,x9871,a88)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,884,941,944,947,952,955,960,966,976,979,982,862,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39])).
% 2.71/2.78  cnf(989,plain,
% 2.71/2.78     (~P6(a62,x9891,a84)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,884,941,944,947,952,955,960,966,976,979,982,862,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38])).
% 2.71/2.78  cnf(991,plain,
% 2.71/2.78     (~P6(a62,x9911,a82)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,884,941,944,947,952,955,960,966,976,979,982,862,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37])).
% 2.71/2.78  cnf(993,plain,
% 2.71/2.78     (P6(a62,x9931,a85)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,884,941,944,947,952,955,960,966,976,979,982,862,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23])).
% 2.71/2.78  cnf(995,plain,
% 2.71/2.78     (~P1(a61,f73(a62))),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,884,941,944,947,952,955,960,966,976,979,982,862,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20])).
% 2.71/2.78  cnf(1002,plain,
% 2.71/2.78     (~P1(x10021,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(1005,plain,
% 2.71/2.78     (~P1(x10051,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(1007,plain,
% 2.71/2.78     (~P6(a64,x10071,a87)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,862,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32])).
% 2.71/2.78  cnf(1009,plain,
% 2.71/2.78     (~P6(x10091,a64,a84)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,862,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30])).
% 2.71/2.78  cnf(1011,plain,
% 2.71/2.78     (~P6(x10111,a64,a83)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,862,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28])).
% 2.71/2.78  cnf(1013,plain,
% 2.71/2.78     (~P6(x10131,a64,a86)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,862,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28,29])).
% 2.71/2.78  cnf(1015,plain,
% 2.71/2.78     (P6(x10151,a62,a72)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,862,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28,29,22])).
% 2.71/2.78  cnf(1022,plain,
% 2.71/2.78     (~P1(x10221,f48(a79,a5))),
% 2.71/2.78     inference(rename_variables,[],[884])).
% 2.71/2.78  cnf(1024,plain,
% 2.71/2.78     (~P6(a64,x10241,a83)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,1005,862,711,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28,29,22,52,71,58,31])).
% 2.71/2.78  cnf(1026,plain,
% 2.71/2.78     (~P6(x10261,a64,a80)),
% 2.71/2.78     inference(scs_inference,[],[4,14,963,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,1005,862,711,713,722,895,668,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28,29,22,52,71,58,31,27])).
% 2.71/2.78  cnf(1035,plain,
% 2.71/2.79     (~P6(a62,a58,a79)),
% 2.71/2.79     inference(scs_inference,[],[4,8,14,963,969,11,884,941,944,947,952,955,960,966,976,979,982,985,1002,1005,1022,862,711,713,722,895,668,619,65,53,80,64,60,26,15,81,76,57,46,36,21,68,66,62,61,39,38,37,23,20,70,102,59,54,32,30,28,29,22,52,71,58,31,27,101,55,43])).
% 2.71/2.79  cnf(1080,plain,
% 2.71/2.79     (P1(f31(a62,a58),a62)),
% 2.71/2.79     inference(scs_inference,[],[7,819,1035,13,91,80,25])).
% 2.71/2.79  cnf(1084,plain,
% 2.71/2.79     (~P6(a62,f48(a79,a5),a72)),
% 2.71/2.79     inference(scs_inference,[],[4,9,7,819,1035,13,884,91,80,25,17,79])).
% 2.71/2.79  cnf(1085,plain,
% 2.71/2.79     (~P1(x10851,f48(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[884])).
% 2.71/2.79  cnf(1087,plain,
% 2.71/2.79     (~P6(a58,a62,a85)),
% 2.71/2.79     inference(scs_inference,[],[4,14,9,7,819,1035,13,884,91,80,25,17,79,78])).
% 2.71/2.79  cnf(1088,plain,
% 2.71/2.79     (~P1(x10881,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1091,plain,
% 2.71/2.79     (~P1(x10911,f48(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[884])).
% 2.71/2.79  cnf(1095,plain,
% 2.71/2.79     (P6(a62,a3,a80)),
% 2.71/2.79     inference(scs_inference,[],[4,8,14,9,7,889,819,1035,13,884,1085,91,80,25,17,79,78,64,15,77])).
% 2.71/2.79  cnf(1096,plain,
% 2.71/2.79     (P1(x10961,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1100,plain,
% 2.71/2.79     (P6(a58,a62,a82)),
% 2.71/2.79     inference(scs_inference,[],[4,8,14,1088,9,7,889,819,1035,13,884,1085,91,80,25,17,79,78,64,15,77,81,41])).
% 2.71/2.79  cnf(1101,plain,
% 2.71/2.79     (~P1(x11011,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1107,plain,
% 2.71/2.79     (~P1(x11071,f48(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[884])).
% 2.71/2.79  cnf(1109,plain,
% 2.71/2.79     (P6(a70,a3,a86)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,889,819,1035,13,884,1085,1091,91,80,25,17,79,78,64,15,77,81,41,26,76,90])).
% 2.71/2.79  cnf(1110,plain,
% 2.71/2.79     (P1(x11101,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1112,plain,
% 2.71/2.79     (~P1(x11121,f45(a79,a5))),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,692,889,819,1035,13,884,1085,1091,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36])).
% 2.71/2.79  cnf(1117,plain,
% 2.71/2.79     (P6(f45(a89,a89),f46(a89,a89),a89)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,692,889,791,819,1035,13,884,1085,1091,1107,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36,21,69])).
% 2.71/2.79  cnf(1124,plain,
% 2.71/2.79     (P6(f48(a89,a89),f51(a89,a89),a89)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,692,889,707,789,791,819,1035,13,884,1085,1091,1107,678,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36,21,69,67,99,51])).
% 2.71/2.79  cnf(1126,plain,
% 2.71/2.79     (~P6(x11261,a62,a87)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,692,889,995,707,789,791,819,1035,13,884,1085,1091,1107,678,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36,21,69,67,99,51,35])).
% 2.71/2.79  cnf(1128,plain,
% 2.71/2.79     (P6(f41(a5,a78),f47(a5,a78),a5)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,14,1088,1101,9,12,7,692,889,995,707,789,791,819,1035,13,884,1085,1091,1107,678,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36,21,69,67,99,51,35,50])).
% 2.71/2.79  cnf(1130,plain,
% 2.71/2.79     (~P1(a57,a3)+P6(a3,a2,a78)),
% 2.71/2.79     inference(scs_inference,[],[4,8,1096,1110,14,1088,1101,9,12,7,692,889,995,707,789,791,819,1035,13,331,884,1085,1091,1107,678,91,80,25,17,79,78,64,15,77,81,41,26,76,90,36,21,69,67,99,51,35,50,89])).
% 2.71/2.79  cnf(1182,plain,
% 2.71/2.79     (P6(a3,a2,a78)),
% 2.71/2.79     inference(scs_inference,[],[8,1130])).
% 2.71/2.79  cnf(1183,plain,
% 2.71/2.79     (P1(x11831,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1184,plain,
% 2.71/2.79     (P1(f42(a3,a2),a2)),
% 2.71/2.79     inference(scs_inference,[],[8,1130,66])).
% 2.71/2.79  cnf(1186,plain,
% 2.71/2.79     (~P6(x11861,a2,a83)),
% 2.71/2.79     inference(scs_inference,[],[8,9,1130,66,28])).
% 2.71/2.79  cnf(1190,plain,
% 2.71/2.79     (~P6(a2,x11901,a87)),
% 2.71/2.79     inference(scs_inference,[],[120,8,9,1130,66,28,75,32])).
% 2.71/2.79  cnf(1192,plain,
% 2.71/2.79     (~P6(x11921,a2,a80)),
% 2.71/2.79     inference(scs_inference,[],[120,8,9,1130,66,28,75,32,27])).
% 2.71/2.79  cnf(1195,plain,
% 2.71/2.79     (~P1(x11951,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1202,plain,
% 2.71/2.79     (~P1(x12021,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1204,plain,
% 2.71/2.79     (~P6(a2,x12041,a83)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,14,9,1112,528,1130,66,28,75,32,27,48,91,58,31])).
% 2.71/2.79  cnf(1206,plain,
% 2.71/2.79     (~P6(x12061,a2,a84)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,14,9,1112,528,1130,66,28,75,32,27,48,91,58,31,30])).
% 2.71/2.79  cnf(1208,plain,
% 2.71/2.79     (~P6(x12081,a2,a86)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,14,9,1112,528,1130,66,28,75,32,27,48,91,58,31,30,29])).
% 2.71/2.79  cnf(1211,plain,
% 2.71/2.79     (~P1(x12111,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1214,plain,
% 2.71/2.79     (P1(x12141,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1217,plain,
% 2.71/2.79     (P6(f45(a79,a5),x12171,a72)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,14,9,1112,1202,1211,528,1024,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25])).
% 2.71/2.79  cnf(1218,plain,
% 2.71/2.79     (~P1(x12181,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1221,plain,
% 2.71/2.79     (~P1(x12211,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1223,plain,
% 2.71/2.79     (P6(x12231,f45(a79,a5),a85)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,14,9,1112,1202,1211,1218,1221,528,1024,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24])).
% 2.71/2.79  cnf(1224,plain,
% 2.71/2.79     (~P1(x12241,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1226,plain,
% 2.71/2.79     (~P6(a64,a58,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,14,1195,9,1112,1202,1211,1218,1221,528,1024,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80])).
% 2.71/2.79  cnf(1227,plain,
% 2.71/2.79     (~P1(x12271,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1234,plain,
% 2.71/2.79     (~P1(f14(a64,a64),a64)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,14,1195,9,1112,1202,1211,1218,1221,528,1024,1026,1080,237,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77])).
% 2.71/2.79  cnf(1247,plain,
% 2.71/2.79     (~P1(x12471,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1250,plain,
% 2.71/2.79     (~P1(x12501,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1252,plain,
% 2.71/2.79     (~P6(a58,a64,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,14,1195,1227,1250,9,1112,1202,1211,1218,1221,1224,528,991,993,1015,1024,1026,1080,871,237,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81])).
% 2.71/2.79  cnf(1253,plain,
% 2.71/2.79     (~P1(x12531,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1256,plain,
% 2.71/2.79     (~P1(x12561,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1259,plain,
% 2.71/2.79     (P1(x12591,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1265,plain,
% 2.71/2.79     (~P6(a64,a58,a10)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,14,1195,1227,1250,1253,9,1112,1202,1211,1218,1221,1224,1247,1256,528,989,991,993,1015,1024,1026,1080,871,237,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46])).
% 2.71/2.79  cnf(1266,plain,
% 2.71/2.79     (~P1(x12661,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1282,plain,
% 2.71/2.79     (~P5(a8,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,14,1195,1227,1250,1253,1266,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1080,871,447,237,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104])).
% 2.71/2.79  cnf(1284,plain,
% 2.71/2.79     (~P6(a62,a3,a74)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,1259,14,1195,1227,1250,1253,1266,110,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1080,871,447,237,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104,45])).
% 2.71/2.79  cnf(1289,plain,
% 2.71/2.79     (~P1(f43(f73(a58),a62),f73(a62))),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,1259,14,1195,1227,1250,1253,1266,110,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1126,1080,871,447,237,239,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104,45,89,101])).
% 2.71/2.79  cnf(1293,plain,
% 2.71/2.79     (P3(a8,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,1259,14,1195,1227,1250,1253,1266,110,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1126,1080,871,447,237,239,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104,45,89,101,100])).
% 2.71/2.79  cnf(1297,plain,
% 2.71/2.79     (P1(f43(f73(a58),a62),a62)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,1259,14,1195,1227,1250,1253,1266,110,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1126,1080,871,447,237,239,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104,45,89,101,100,105,17])).
% 2.71/2.79  cnf(1299,plain,
% 2.71/2.79     (P6(a64,a64,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,120,8,1183,1214,1259,14,1195,1227,1250,1253,1266,110,9,1112,1202,1211,1218,1221,1224,1247,1256,777,528,132,989,991,993,1015,1024,1026,1126,1080,871,447,237,239,1130,66,28,75,32,27,48,91,58,31,30,29,56,98,25,63,24,80,47,15,77,41,78,79,26,76,81,60,93,57,46,36,74,21,73,20,94,104,45,89,101,100,105,17,33])).
% 2.71/2.79  cnf(1319,plain,
% 2.71/2.79     (~P1(x13191,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1321,plain,
% 2.71/2.79     (~P1(a65,f73(a64))),
% 2.71/2.79     inference(scs_inference,[],[5,1112,68,20])).
% 2.71/2.79  cnf(1324,plain,
% 2.71/2.79     (~P1(x13241,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1327,plain,
% 2.71/2.79     (~P1(x13271,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1332,plain,
% 2.71/2.79     (~P5(a78,a78)),
% 2.71/2.79     inference(scs_inference,[],[5,120,1182,1112,1319,1324,68,20,49,66,94,104])).
% 2.71/2.79  cnf(1334,plain,
% 2.71/2.79     (P4(a5,a90)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,1182,1112,1319,1324,68,20,49,66,94,104,91])).
% 2.71/2.79  cnf(1340,plain,
% 2.71/2.79     (P1(f13(a62,a3),a62)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,1182,1117,1095,1112,1319,1324,68,20,49,66,94,104,91,58,56])).
% 2.71/2.79  cnf(1342,plain,
% 2.71/2.79     (~P6(a64,a58,a79)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,14,1182,1117,1095,1112,1319,1324,68,20,49,66,94,104,91,58,56,43])).
% 2.71/2.79  cnf(1343,plain,
% 2.71/2.79     (~P1(x13431,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1345,plain,
% 2.71/2.79     (~P1(f24(a3,a64),a64)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,14,1182,1011,1117,1095,1112,1319,1324,68,20,49,66,94,104,91,58,56,43,98])).
% 2.71/2.79  cnf(1347,plain,
% 2.71/2.79     (P1(x13471,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1349,plain,
% 2.71/2.79     (P3(a78,a78)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,14,1182,1011,1117,1095,1112,1319,1324,68,20,49,66,94,104,91,58,56,43,98,100])).
% 2.71/2.79  cnf(1353,plain,
% 2.71/2.79     (~P6(a64,f45(a79,a5),a8)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,14,1182,1217,1011,1117,1095,1112,1319,1324,1327,68,20,49,66,94,104,91,58,56,43,98,100,105,80])).
% 2.71/2.79  cnf(1354,plain,
% 2.71/2.79     (~P1(x13541,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1358,plain,
% 2.71/2.79     (P1(f33(a58,a62),a62)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,14,1182,1217,1011,1117,1095,1084,1100,1112,1319,1324,1327,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63])).
% 2.71/2.79  cnf(1372,plain,
% 2.71/2.79     (P6(a68,a68,a8)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,14,6,12,1182,1234,1217,1011,1117,1192,1095,1084,1087,1100,1112,1319,1324,1327,514,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63,24,15,77,17,79,33])).
% 2.71/2.79  cnf(1375,plain,
% 2.71/2.79     (~P1(x13751,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1380,plain,
% 2.71/2.79     (P1(f60(a64,a58),a64)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,1347,14,1343,6,10,12,1182,1234,1217,1297,1011,1117,1192,1095,1226,1284,1084,1087,1100,1112,1319,1324,1327,1354,514,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63,24,15,77,17,79,33,64,107,76])).
% 2.71/2.79  cnf(1381,plain,
% 2.71/2.79     (~P1(x13811,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1393,plain,
% 2.71/2.79     (~P1(x13931,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1396,plain,
% 2.71/2.79     (~P1(x13961,f45(a79,a5))),
% 2.71/2.79     inference(rename_variables,[],[1112])).
% 2.71/2.79  cnf(1400,plain,
% 2.71/2.79     (~P6(a68,a58,a10)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,1347,14,1343,1381,1393,6,10,12,1182,1234,1217,1297,1009,1011,1117,1192,1095,1109,1226,1284,1084,1087,1100,1112,1319,1324,1327,1354,1375,510,512,514,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63,24,15,77,17,79,33,64,107,76,41,78,26,93,81,60,46])).
% 2.71/2.79  cnf(1401,plain,
% 2.71/2.79     (~P1(x14011,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1405,plain,
% 2.71/2.79     (~P1(x14051,f41(a5,a88))),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,1347,14,1343,1381,1393,6,10,12,1182,1234,1217,309,1297,1009,1011,1117,1192,1095,1109,1226,1284,1084,1087,1100,1112,1319,1324,1327,1354,1375,510,512,514,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63,24,15,77,17,79,33,64,107,76,41,78,26,93,81,60,46,57,36])).
% 2.71/2.79  cnf(1410,plain,
% 2.71/2.79     (P6(a58,a70,a88)),
% 2.71/2.79     inference(scs_inference,[],[5,111,117,120,8,1347,14,1343,1381,1393,1401,6,10,12,7,1182,1234,1217,309,1297,1009,1011,1117,1192,1095,1109,1226,1284,1084,1087,1100,1112,1319,1324,1327,1354,1375,1396,510,512,514,68,20,49,66,94,104,91,58,56,43,98,100,105,80,25,63,24,15,77,17,79,33,64,107,76,41,78,26,93,81,60,46,57,36,21,74])).
% 2.71/2.79  cnf(1428,plain,
% 2.71/2.79     (~P6(a64,a58,a72)),
% 2.71/2.79     inference(scs_inference,[],[1342,13,91])).
% 2.71/2.79  cnf(1430,plain,
% 2.71/2.79     (~P6(x14301,f41(a5,a88),a89)),
% 2.71/2.79     inference(scs_inference,[],[1342,1405,13,91,58])).
% 2.71/2.79  cnf(1431,plain,
% 2.71/2.79     (~P1(x14311,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1434,plain,
% 2.71/2.79     (~P1(x14341,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1440,plain,
% 2.71/2.79     (P6(a68,a3,a80)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1342,1405,1431,1340,1380,1299,13,91,58,56,80,15,77])).
% 2.71/2.79  cnf(1441,plain,
% 2.71/2.79     (P1(x14411,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1443,plain,
% 2.71/2.79     (~P6(a68,a58,a72)),
% 2.71/2.79     inference(scs_inference,[],[6,8,14,1342,1405,1431,1340,1380,1299,13,91,58,56,80,15,77,79])).
% 2.71/2.79  cnf(1444,plain,
% 2.71/2.79     (~P1(x14441,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1446,plain,
% 2.71/2.79     (P6(a2,a3,a86)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,14,9,1342,1405,1431,1340,1380,1299,1184,13,91,58,56,80,15,77,79,90])).
% 2.71/2.79  cnf(1447,plain,
% 2.71/2.79     (P1(x14471,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1450,plain,
% 2.71/2.79     (~P1(x14501,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1452,plain,
% 2.71/2.79     (P6(f41(a5,a88),x14521,a72)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,14,9,1342,1405,1431,1434,1450,1340,1380,1299,1184,13,91,58,56,80,15,77,79,90,63,25])).
% 2.71/2.79  cnf(1453,plain,
% 2.71/2.79     (~P1(x14531,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1455,plain,
% 2.71/2.79     (P6(x14551,f41(a5,a88),a85)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,14,9,1342,1405,1431,1434,1450,1453,1340,1380,1299,1184,13,91,58,56,80,15,77,79,90,63,25,24])).
% 2.71/2.79  cnf(1456,plain,
% 2.71/2.79     (~P1(x14561,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1458,plain,
% 2.71/2.79     (P6(a58,a68,a82)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,14,1444,9,1342,1405,1431,1434,1450,1453,1340,1380,1299,1184,13,91,58,56,80,15,77,79,90,63,25,24,41])).
% 2.71/2.79  cnf(1459,plain,
% 2.71/2.79     (~P1(x14591,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1464,plain,
% 2.71/2.79     (~P1(x14641,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1467,plain,
% 2.71/2.79     (P6(a58,f41(a5,a88),a8)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,9,1342,1405,1431,1434,1450,1453,1456,1464,1340,1380,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76])).
% 2.71/2.79  cnf(1468,plain,
% 2.71/2.79     (~P1(x14681,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1469,plain,
% 2.71/2.79     (~P1(x14691,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1471,plain,
% 2.71/2.79     (~P6(a58,a68,a85)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1340,1380,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78])).
% 2.71/2.79  cnf(1475,plain,
% 2.71/2.79     (~P1(x14751,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1478,plain,
% 2.71/2.79     (~P1(x14781,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1485,plain,
% 2.71/2.79     (~P1(x14851,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1489,plain,
% 2.71/2.79     (~P6(a68,x14891,a84)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1340,1380,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38])).
% 2.71/2.79  cnf(1491,plain,
% 2.71/2.79     (~P6(a68,x14911,a82)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1340,1380,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38,37])).
% 2.71/2.79  cnf(1493,plain,
% 2.71/2.79     (P6(a68,x14931,a85)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1340,1380,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38,37,23])).
% 2.71/2.79  cnf(1500,plain,
% 2.71/2.79     (~P1(x15001,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1503,plain,
% 2.71/2.79     (~P1(x15031,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1506,plain,
% 2.71/2.79     (~P1(x15061,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1508,plain,
% 2.71/2.79     (P6(x15081,a68,a72)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1485,1500,1503,1340,1380,802,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38,37,23,39,102,62,61,54,22])).
% 2.71/2.79  cnf(1515,plain,
% 2.71/2.79     (~P1(x15151,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1517,plain,
% 2.71/2.79     (P6(f49(a89,a88),f50(a89,a88),a89)),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1485,1500,1503,1506,1340,1380,802,1282,1293,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38,37,23,39,102,62,61,54,22,70,52,59,71])).
% 2.71/2.79  cnf(1522,plain,
% 2.71/2.79     (~P1(f17(f48(a89,a89),f51(a89,a89)),f48(a89,a89))),
% 2.71/2.79     inference(scs_inference,[],[6,8,1441,1447,14,1444,1459,1468,9,1342,1405,1431,1434,1450,1453,1456,1464,1469,1475,1478,1485,1500,1503,1506,1515,1340,1124,1380,802,1282,1293,1299,1410,1184,13,91,58,56,80,15,77,79,90,63,25,24,41,64,93,76,78,60,26,81,36,57,21,38,37,23,39,102,62,61,54,22,70,52,59,71,55,82])).
% 2.71/2.79  cnf(1551,plain,
% 2.71/2.79     (~P1(x15511,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1571,plain,
% 2.71/2.79     (~P1(x15711,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1574,plain,
% 2.71/2.79     (P1(x15741,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1580,plain,
% 2.71/2.79     (~P6(a58,a68,a8)),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,1517,1007,1489,1491,1508,1428,1440,1458,1471,1345,1353,1405,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81])).
% 2.71/2.79  cnf(1581,plain,
% 2.71/2.79     (~P1(x15811,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1586,plain,
% 2.71/2.79     (P1(f20(a2,a3),a2)),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,1517,1007,1489,1491,1493,1508,1428,1440,1458,1471,1345,1353,1405,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60])).
% 2.71/2.79  cnf(1588,plain,
% 2.71/2.79     (~P1(x15881,f41(a5,a90))),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,701,1517,1007,1489,1491,1493,1508,1428,1440,1458,1471,1345,1353,1405,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36])).
% 2.71/2.79  cnf(1590,plain,
% 2.71/2.79     (P1(f15(f49(a89,a88),f50(a89,a88)),f49(a89,a88))),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,701,1517,1007,1489,1491,1493,1508,1428,1440,1458,1471,1345,1353,1405,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36,57])).
% 2.71/2.79  cnf(1593,plain,
% 2.71/2.79     (~P1(x15931,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1599,plain,
% 2.71/2.79     (P6(f48(a78,a78),f51(a78,a78),a78)),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,701,1517,1007,1489,1491,1493,1508,763,1332,1349,1428,1440,1458,1471,1345,1353,1405,1571,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36,57,21,99,69,51])).
% 2.71/2.79  cnf(1601,plain,
% 2.71/2.79     (~P6(x16011,a64,a87)),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,14,1551,1446,1223,701,1517,1007,1489,1491,1493,1508,763,1332,1349,1428,1440,1458,1471,1345,1321,1353,1405,1571,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36,57,21,99,69,51,35])).
% 2.71/2.79  cnf(1608,plain,
% 2.71/2.79     (~P1(x16081,f41(a5,a88))),
% 2.71/2.79     inference(rename_variables,[],[1405])).
% 2.71/2.79  cnf(1623,plain,
% 2.71/2.79     (P1(x16231,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1624,plain,
% 2.71/2.79     (P1(x16241,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1626,plain,
% 2.71/2.79     (P6(a3,a3,a83)),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,1574,1624,1623,14,1551,1581,1446,1223,701,1517,1007,1489,1491,1493,1508,763,1332,1349,1428,1440,1458,1471,1345,1321,1353,1405,1571,1593,1608,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36,57,21,99,69,51,35,50,68,65,66,67,53,43,26,97,98])).
% 2.71/2.79  cnf(1630,plain,
% 2.71/2.79     (P1(a67,f73(a64))),
% 2.71/2.79     inference(scs_inference,[],[6,123,8,1574,1624,1623,14,1551,1581,11,1446,1223,701,1517,1007,1489,1491,1493,1508,763,1332,1349,1428,1440,1458,1471,1345,1321,1353,1405,1571,1593,1608,1112,678,239,101,84,91,56,58,80,79,63,24,15,41,47,25,64,93,76,81,78,60,36,57,21,99,69,51,35,50,68,65,66,67,53,43,26,97,98,17])).
% 2.71/2.79  cnf(1638,plain,
% 2.71/2.79     (~P1(x16381,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1646,plain,
% 2.71/2.79     (~P6(x16461,a70,a80)),
% 2.71/2.79     inference(scs_inference,[],[7,12,1588,28,20,68,32,30,29,27])).
% 2.71/2.79  cnf(1649,plain,
% 2.71/2.79     (~P1(x16491,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1654,plain,
% 2.71/2.79     (P1(x16541,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1661,plain,
% 2.71/2.79     (~P1(x16611,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1664,plain,
% 2.71/2.79     (~P1(x16641,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1666,plain,
% 2.71/2.79     (~P6(a70,f41(a5,a90),a8)),
% 2.71/2.79     inference(scs_inference,[],[7,8,12,1588,1638,1649,1661,1664,1467,1430,1204,28,20,68,32,30,29,27,66,31,98,91,56,58,80])).
% 2.71/2.79  cnf(1667,plain,
% 2.71/2.79     (~P1(x16671,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1673,plain,
% 2.71/2.79     (~P1(x16731,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1676,plain,
% 2.71/2.79     (~P1(x16761,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1681,plain,
% 2.71/2.79     (P1(f15(f49(a89,a88),f50(a89,a88)),f50(a89,a88))),
% 2.71/2.79     inference(scs_inference,[],[7,8,12,1588,1638,1649,1661,1664,1667,1673,1590,1467,1430,1204,991,1015,1517,28,20,68,32,30,29,27,66,31,98,91,56,58,80,79,63,24,41,47])).
% 2.71/2.79  cnf(1684,plain,
% 2.71/2.79     (~P1(x16841,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1686,plain,
% 2.71/2.79     (P1(f33(a58,a62),a64)),
% 2.71/2.79     inference(scs_inference,[],[7,8,12,1588,1638,1649,1661,1664,1667,1673,1676,1590,1467,1430,1204,1358,991,1015,1517,28,20,68,32,30,29,27,66,31,98,91,56,58,80,79,63,24,41,47,25,15])).
% 2.71/2.79  cnf(1690,plain,
% 2.71/2.79     (~P1(x16901,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1693,plain,
% 2.71/2.79     (~P1(x16931,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1699,plain,
% 2.71/2.79     (~P1(x16991,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1701,plain,
% 2.71/2.79     (P1(f71(a58,a68),a68)),
% 2.71/2.79     inference(scs_inference,[],[7,8,14,1690,12,1580,1588,1638,1649,1661,1664,1667,1673,1676,1684,1693,1590,1467,1430,1204,1206,1358,991,993,1015,1517,28,20,68,32,30,29,27,66,31,98,91,56,58,80,79,63,24,41,47,25,15,93,26,78,60,76])).
% 2.71/2.79  cnf(1702,plain,
% 2.71/2.79     (~P1(x17021,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1705,plain,
% 2.71/2.79     (~P1(x17051,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1717,plain,
% 2.71/2.79     (~P1(f22(a70,a64),a64)),
% 2.71/2.79     inference(scs_inference,[],[7,8,1654,14,1690,12,1580,1588,1638,1649,1661,1664,1667,1673,1676,1684,1693,1699,1705,1590,1467,1430,1013,1204,1206,1289,1358,991,993,1015,867,1517,28,20,68,32,30,29,27,66,31,98,91,56,58,80,79,63,24,41,47,25,15,93,26,78,60,76,81,36,57,21,88,90])).
% 2.71/2.79  cnf(1720,plain,
% 2.71/2.79     (P6(a58,f73(a62),a88)),
% 2.71/2.79     inference(scs_inference,[],[7,8,1654,14,1690,1702,12,1580,1588,1638,1649,1661,1664,1667,1673,1676,1684,1693,1699,1705,1590,1467,1430,1013,1204,1206,1289,1358,991,993,1015,867,1517,28,20,68,32,30,29,27,66,31,98,91,56,58,80,79,63,24,41,47,25,15,93,26,78,60,76,81,36,57,21,88,90,74])).
% 2.71/2.79  cnf(1741,plain,
% 2.71/2.79     (~P6(f73(a64),a62,a90)),
% 2.71/2.79     inference(scs_inference,[],[110,1630,49])).
% 2.71/2.79  cnf(1746,plain,
% 2.71/2.79     (~P1(x17461,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1751,plain,
% 2.71/2.79     (~P1(x17511,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1754,plain,
% 2.71/2.79     (~P1(x17541,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1762,plain,
% 2.71/2.79     (P1(x17621,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1769,plain,
% 2.71/2.79     (P1(f76(a68,a68),a68)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,110,14,1186,1599,1646,1701,1372,1630,1588,1746,49,45,54,75,65,48,68,66,98,44,77,80])).
% 2.71/2.79  cnf(1772,plain,
% 2.71/2.79     (P1(x17721,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1776,plain,
% 2.71/2.79     (~P6(a3,a62,a10)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,110,14,1186,1599,1646,1701,1372,1630,1588,1746,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46])).
% 2.71/2.79  cnf(1777,plain,
% 2.71/2.79     (P1(x17771,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1779,plain,
% 2.71/2.79     (~P6(a70,a58,a72)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,110,14,1754,1186,1599,1646,1701,1372,1630,1588,1746,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79])).
% 2.71/2.79  cnf(1780,plain,
% 2.71/2.79     (~P1(x17801,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1785,plain,
% 2.71/2.79     (~P1(x17851,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1788,plain,
% 2.71/2.79     (~P1(x17881,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1791,plain,
% 2.71/2.79     (~P1(x17911,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1792,plain,
% 2.71/2.79     (P1(x17921,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1797,plain,
% 2.71/2.79     (~P1(x17971,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1798,plain,
% 2.71/2.79     (~P1(x17981,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1803,plain,
% 2.71/2.79     (~P1(x18031,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1805,plain,
% 2.71/2.79     (P1(f20(f73(a64),a3),f73(a64))),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,1186,1599,1646,1701,1717,1372,1443,1630,1588,1746,1751,1788,1791,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60])).
% 2.71/2.79  cnf(1807,plain,
% 2.71/2.79     (~P1(x18071,f41(a5,a78))),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,1128,1186,1599,1646,1701,1717,1372,1443,1630,1588,1746,1751,1788,1791,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36])).
% 2.71/2.79  cnf(1809,plain,
% 2.71/2.79     (P1(f15(f48(a89,a89),f51(a89,a89)),f48(a89,a89))),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,1128,1186,1599,1646,1701,1717,1372,1443,1630,1588,1746,1751,1788,1791,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57])).
% 2.71/2.79  cnf(1811,plain,
% 2.71/2.79     (P6(f41(a5,a90),a70,a88)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,12,1128,1186,1599,1646,1701,1717,1372,1443,1630,1588,1746,1751,1788,1791,1798,1321,1124,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57,74])).
% 2.71/2.79  cnf(1812,plain,
% 2.71/2.79     (~P1(x18121,f41(a5,a90))),
% 2.71/2.79     inference(rename_variables,[],[1588])).
% 2.71/2.79  cnf(1823,plain,
% 2.71/2.79     (~P1(f43(f73(a58),a64),f73(a64))),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,12,1128,1186,1599,1601,1646,1701,1717,1720,1372,1443,1630,1588,1746,1751,1788,1791,1798,1812,1321,1124,239,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57,74,21,89,87,67,101])).
% 2.71/2.79  cnf(1830,plain,
% 2.71/2.79     (~P1(x18301,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1835,plain,
% 2.71/2.79     (P3(a83,a83)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,1803,12,1265,1626,1128,1686,1186,1599,1601,1646,1701,1717,1720,1372,1443,1630,1588,1746,1751,1788,1791,1798,1812,1321,1124,239,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57,74,21,89,87,67,101,20,92,94,100])).
% 2.71/2.79  cnf(1837,plain,
% 2.71/2.79     (~P5(a83,a83)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,110,14,1754,1780,1785,1797,1803,12,1265,1626,1128,1686,1186,1599,1601,1646,1701,1717,1720,1372,1443,1630,1588,1746,1751,1788,1791,1798,1812,1321,1124,239,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57,74,21,89,87,67,101,20,92,94,100,104])).
% 2.71/2.79  cnf(1846,plain,
% 2.71/2.79     (P1(f39(a58,f73(a62)),a62)),
% 2.71/2.79     inference(scs_inference,[],[7,123,8,1762,1772,1777,1792,110,14,1754,1780,1785,1797,1803,1830,12,1265,1626,1128,1686,1186,1599,1601,1646,1701,1717,1720,1372,1443,1630,1588,1746,1751,1788,1791,1798,1812,1321,1124,239,49,45,54,75,65,48,68,66,98,44,77,80,90,58,46,79,25,41,64,93,15,76,81,78,60,36,57,74,21,89,87,67,101,20,92,94,100,104,105,96,33,17])).
% 2.71/2.79  cnf(1869,plain,
% 2.71/2.79     (~P1(x18691,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1874,plain,
% 2.71/2.79     (~P1(x18741,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1877,plain,
% 2.71/2.79     (~P6(a3,x18771,a89)),
% 2.71/2.79     inference(rename_variables,[],[129])).
% 2.71/2.79  cnf(1878,plain,
% 2.71/2.79     (P6(x18781,f41(a5,a88),a85)),
% 2.71/2.79     inference(rename_variables,[],[1455])).
% 2.71/2.79  cnf(1886,plain,
% 2.71/2.79     (~P6(a3,a62,a79)),
% 2.71/2.79     inference(scs_inference,[],[8,129,111,10,14,1807,1452,1455,1878,1769,1400,1599,67,20,92,100,66,94,104,105,43])).
% 2.71/2.79  cnf(1887,plain,
% 2.71/2.79     (P1(x18871,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(1889,plain,
% 2.71/2.79     (P1(x18891,f73(f41(a5,a78)))),
% 2.71/2.79     inference(scs_inference,[],[8,129,111,10,14,1807,1874,1452,1455,1878,1769,1400,1599,67,20,92,100,66,94,104,105,43,17])).
% 2.71/2.79  cnf(1893,plain,
% 2.71/2.79     (~P1(f14(a3,a64),a64)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1681,1807,1874,1452,1455,1878,1769,1400,1026,1599,67,20,92,100,66,94,104,105,43,17,33,77])).
% 2.71/2.79  cnf(1897,plain,
% 2.71/2.79     (~P1(x18971,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1900,plain,
% 2.71/2.79     (~P1(x19001,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1902,plain,
% 2.71/2.79     (P6(a62,f73(a58),a86)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1681,1807,1874,1452,1455,1878,1846,1769,1400,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90])).
% 2.71/2.79  cnf(1906,plain,
% 2.71/2.79     (~P1(x19061,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1908,plain,
% 2.71/2.79     (~P6(f50(a89,a88),a58,a10)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1681,1807,1874,1897,1452,1455,1878,1846,1769,1400,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46])).
% 2.71/2.79  cnf(1909,plain,
% 2.71/2.79     (~P1(x19091,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1911,plain,
% 2.71/2.79     (P6(f41(a5,a78),x19111,a72)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1681,1807,1874,1897,1906,1452,1455,1878,1846,1769,1400,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25])).
% 2.71/2.79  cnf(1912,plain,
% 2.71/2.79     (~P1(x19121,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1915,plain,
% 2.71/2.79     (~P1(x19151,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1922,plain,
% 2.71/2.79     (~P1(x19221,a58)),
% 2.71/2.79     inference(rename_variables,[],[14])).
% 2.71/2.79  cnf(1930,plain,
% 2.71/2.79     (~P1(x19301,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1933,plain,
% 2.71/2.79     (~P1(x19331,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1935,plain,
% 2.71/2.79     (P1(f35(a62,f48(a89,a89)),a62)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1809,1452,1455,1878,1846,987,1769,1811,1400,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74])).
% 2.71/2.79  cnf(1942,plain,
% 2.71/2.79     (~P6(f50(a89,a88),x19421,a82)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1809,1452,1455,1878,1846,987,1769,1811,1400,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37])).
% 2.71/2.79  cnf(1949,plain,
% 2.71/2.79     (~P1(x19491,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1951,plain,
% 2.71/2.79     (~P6(f50(a89,a88),x19511,a84)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1809,1452,1455,1878,1805,1846,987,1769,1811,1741,1400,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38])).
% 2.71/2.79  cnf(1953,plain,
% 2.71/2.79     (P6(f50(a89,a88),x19531,a85)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1809,1452,1455,1878,1805,1846,987,1769,1811,1741,1400,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23])).
% 2.71/2.79  cnf(1955,plain,
% 2.71/2.79     (P6(x19551,f50(a89,a88),a72)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1809,1452,1455,1878,1805,1846,987,1769,1811,1741,1400,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22])).
% 2.71/2.79  cnf(1962,plain,
% 2.71/2.79     (~P1(x19621,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1965,plain,
% 2.71/2.79     (~P1(x19651,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(1967,plain,
% 2.71/2.79     (P6(f48(a83,a83),f51(a83,a83),a83)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1949,1962,1809,1452,1455,1878,1805,1334,1846,987,1769,1811,1741,1400,1835,1837,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22,70,102,62,59,52])).
% 2.71/2.79  cnf(1969,plain,
% 2.71/2.79     (P1(x19691,f46(a83,a83))),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1949,1962,1809,1452,1455,1878,1805,1334,1846,987,1769,1811,1741,1400,1835,1837,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22,70,102,62,59,52,28])).
% 2.71/2.79  cnf(1974,plain,
% 2.71/2.79     (P6(f49(a5,a90),f50(a5,a90),a5)),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1949,1962,1965,1809,1452,1455,1878,1805,1334,1846,987,1769,1811,1741,1400,1835,1837,1522,1252,1026,1599,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22,70,102,62,59,52,28,55,71])).
% 2.71/2.79  cnf(1976,plain,
% 2.71/2.79     (~P1(f17(f49(a89,a88),f50(a89,a88)),f49(a89,a88))),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1949,1962,1965,1809,1452,1455,1878,1805,1334,1846,987,1769,1811,1741,1400,1835,1837,1522,1252,1026,1599,1517,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22,70,102,62,59,52,28,55,71,82])).
% 2.71/2.79  cnf(1983,plain,
% 2.71/2.79     (P1(x19831,f45(a83,a83))),
% 2.71/2.79     inference(scs_inference,[],[8,1887,129,1877,126,111,10,14,1869,1900,1909,1922,1681,1807,1874,1897,1906,1912,1915,1930,1933,1949,1962,1965,1809,1452,1455,1878,1805,1334,1846,987,1769,1811,1741,1400,1835,1837,1522,1252,1026,1599,1517,239,67,20,92,100,66,94,104,105,43,17,33,77,58,80,90,24,46,25,63,64,15,76,81,36,60,57,74,21,42,37,39,95,61,38,23,22,70,102,62,59,52,28,55,71,82,75,87,31])).
% 2.71/2.79  cnf(2001,plain,
% 2.71/2.79     (P1(x20011,f46(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1969])).
% 2.71/2.79  cnf(2004,plain,
% 2.71/2.79     (P1(x20041,f46(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1969])).
% 2.71/2.79  cnf(2007,plain,
% 2.71/2.79     (P1(x20071,f46(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1969])).
% 2.71/2.79  cnf(2010,plain,
% 2.71/2.79     (P1(x20101,f46(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1969])).
% 2.71/2.79  cnf(2012,plain,
% 2.71/2.79     (~P6(x20121,f49(a89,a88),a83)),
% 2.71/2.79     inference(scs_inference,[],[1969,2001,2004,2007,1976,86,85,83,42,28])).
% 2.71/2.79  cnf(2015,plain,
% 2.71/2.79     (P1(x20151,f46(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1969])).
% 2.71/2.79  cnf(2018,plain,
% 2.71/2.79     (P1(x20181,f73(f41(a5,a78)))),
% 2.71/2.79     inference(rename_variables,[],[1889])).
% 2.71/2.79  cnf(2026,plain,
% 2.71/2.79     (P1(x20261,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(2036,plain,
% 2.71/2.79     (P1(x20361,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(2037,plain,
% 2.71/2.79     (P1(x20371,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(2040,plain,
% 2.71/2.79     (~P1(x20401,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(2042,plain,
% 2.71/2.79     (P1(f52(a3,f50(a89,a88)),f50(a89,a88))),
% 2.71/2.79     inference(scs_inference,[],[8,2026,2037,1889,2018,1969,2001,2004,2007,2010,1976,1776,1911,1955,537,1902,1823,1807,1811,13,86,85,83,42,28,82,101,87,31,98,84,91,17,106,80,79])).
% 2.71/2.79  cnf(2049,plain,
% 2.71/2.79     (P1(x20491,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(2062,plain,
% 2.71/2.79     (~P1(x20621,f41(a5,a78))),
% 2.71/2.79     inference(rename_variables,[],[1807])).
% 2.71/2.79  cnf(2066,plain,
% 2.71/2.79     (P6(a2,a3,a89)),
% 2.71/2.79     inference(scs_inference,[],[8,2026,2037,2049,2036,10,9,1889,2018,1969,2001,2004,2007,2010,2015,1976,1776,1911,1942,1951,1955,537,1208,1935,1902,1779,1823,1586,1807,2040,1811,13,337,86,85,83,42,28,82,101,87,31,98,84,91,17,106,80,79,77,93,26,90,41,64,25,97])).
% 2.71/2.79  cnf(2067,plain,
% 2.71/2.79     (P1(x20671,a3)),
% 2.71/2.79     inference(rename_variables,[],[8])).
% 2.71/2.79  cnf(2081,plain,
% 2.71/2.79     (~P1(x20811,f49(a5,a90))),
% 2.71/2.79     inference(scs_inference,[],[8,2026,2037,2049,2067,2036,10,9,1889,2018,1969,2001,2004,2007,2010,2015,1976,1776,1911,1942,1951,1953,1955,1974,537,1208,1935,1666,1893,1902,1779,1823,1586,1807,2040,2062,1811,1588,13,337,86,85,83,42,28,82,101,87,31,98,84,91,17,106,80,79,77,93,26,90,41,64,25,97,76,78,15,81,36])).
% 2.71/2.79  cnf(2083,plain,
% 2.71/2.79     (P1(f15(a2,a3),a2)),
% 2.71/2.79     inference(scs_inference,[],[8,2026,2037,2049,2067,2036,10,9,1889,2018,1969,2001,2004,2007,2010,2015,1976,1776,1911,1942,1951,1953,1955,1974,537,1208,1935,1666,1893,1902,1779,1823,1586,1807,2040,2062,1811,1588,13,337,86,85,83,42,28,82,101,87,31,98,84,91,17,106,80,79,77,93,26,90,41,64,25,97,76,78,15,81,36,57])).
% 2.71/2.79  cnf(2136,plain,
% 2.71/2.79     (P1(x21361,f45(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1983])).
% 2.71/2.79  cnf(2148,plain,
% 2.71/2.79     (P1(x21481,f45(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1983])).
% 2.71/2.79  cnf(2152,plain,
% 2.71/2.79     (P1(x21521,f45(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1983])).
% 2.71/2.79  cnf(2158,plain,
% 2.71/2.79     (P1(x21581,f45(a83,a83))),
% 2.71/2.79     inference(rename_variables,[],[1983])).
% 2.71/2.79  cnf(2163,plain,
% 2.71/2.79     ($false),
% 2.71/2.79     inference(scs_inference,[],[9,14,2066,2081,2042,2012,1190,1967,1908,2083,1886,1983,2136,2148,2152,2158,1889,1969,1015,13,28,82,66,87,31,92,101,98,44,84,106,47,91]),
% 2.71/2.79     ['proof']).
% 2.71/2.79  % SZS output end Proof
% 2.71/2.79  % Total time :2.170000s
%------------------------------------------------------------------------------