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CSE---1.7.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:04:23 AM UTC 2026

% Result   : Theorem 12.48s 12.60s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit   : 300
% 0.09/0.35  % WCLimit    : 300
% 0.09/0.35  % DateTime   : Mon Sep  7 14:14:07 UTC 2026
% 0.09/0.35  % CPUTime    : 
% 0.27/0.52  start to proof:theBenchmark
% 12.37/12.59  %-------------------------------------------
% 12.37/12.59  % File        :CSE---1.7
% 12.37/12.59  % Problem     :theBenchmark
% 12.37/12.59  % Transform   :cnf
% 12.37/12.59  % Format      :tptp:raw
% 12.37/12.59  % Command     :java -jar mcs_scs.jar %d %s
% 12.37/12.59  
% 12.37/12.59  % Result      :Theorem 12.077333s
% 12.37/12.59  % Output      :CNFRefutation 12.077333s
% 12.37/12.59  %-------------------------------------------
% 12.37/12.59  %--------------------------------------------------------------------------
% 12.37/12.59  % File     : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 12.37/12.59  % Domain   : Management
% 12.37/12.59  % Problem  : Width conflict × height+depth compatible => box Conflict
% 12.37/12.59  % Version  : Especial.
% 12.37/12.59  % English  : Width:  lteq 600  => (0,600] intersection gteq 1200 => 
% 12.37/12.59  %            [1200,infinity) = null Conflict
% 12.37/12.59  %            Height: lteq 800 => (0,800] intersection gteq 200  => 
% 12.37/12.59  %            [200,infinity) != null Compatible
% 12.37/12.59  %            Depth: lteq 32 => (0,32] intersection gteq 8 => 
% 12.37/12.59  %            [8,infinity) != null Compatible
% 12.37/12.59  %            box_verdict(Conflict, box_verdict(Compatible, Compatible)) =
% 12.37/12.59  %            Conflict
% 12.37/12.59  
% 12.37/12.59  % Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% 12.37/12.59  % Source   : [MC+26]
% 12.37/12.59  % Names    : ODRL341-1.p [MC+26]
% 12.37/12.59  
% 12.37/12.59  % Status   : Theorem
% 12.37/12.59  % Rating   : ? v9.3.1
% 12.37/12.59  % Syntax   : Number of formulae    :   57 (  35 unt;   0 def)
% 12.37/12.59  %            Number of atoms       :  132 (  44 equ)
% 12.37/12.59  %            Maximal formula atoms :   21 (   2 avg)
% 12.37/12.59  %            Number of connectives :  104 (  29   ~;   9   |;  46   &)
% 12.37/12.59  %                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
% 12.37/12.59  %            Maximal formula depth :   22 (   3 avg)
% 12.37/12.59  %            Maximal term depth    :    2 (   1 avg)
% 12.37/12.59  %            Number of predicates  :   12 (  11 usr;   0 prp; 1-4 aty)
% 12.37/12.59  %            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
% 12.37/12.59  %            Number of variables   :   60 (  55   !;   5   ?)
% 12.37/12.59  % SPC      : FOF_THM_RFO_SEQ
% 12.37/12.59  
% 12.37/12.59  % Comments : Requires MGT002+0.ax + MGT002+2.ax.
% 12.37/12.59  % Bugfixes : v9.3.1 - $distinct expanded to inequalities.
% 12.37/12.59  %--------------------------------------------------------------------------
% 12.37/12.59  include('Axioms/MGT002+0.ax').
% 12.37/12.59  include('Axioms/MGT002+2.ax').
% 12.37/12.59  %--------------------------------------------------------------------------
% 12.37/12.59  %----Named constants and ordering 
% 12.37/12.59  fof(val_v0,axiom,
% 12.37/12.59      val(v0) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v8,axiom,
% 12.37/12.59      val(v8) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v32,axiom,
% 12.37/12.59      val(v32) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v200,axiom,
% 12.37/12.59      val(v200) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v600,axiom,
% 12.37/12.59      val(v600) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v800,axiom,
% 12.37/12.59      val(v800) ).
% 12.37/12.59  
% 12.37/12.59  fof(val_v1200,axiom,
% 12.37/12.59      val(v1200) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v8,axiom,
% 12.37/12.59      less(v0,v8) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v32,axiom,
% 12.37/12.59      less(v0,v32) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v200,axiom,
% 12.37/12.59      less(v0,v200) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v600,axiom,
% 12.37/12.59      less(v0,v600) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v800,axiom,
% 12.37/12.59      less(v0,v800) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v0_v1200,axiom,
% 12.37/12.59      less(v0,v1200) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v8_v32,axiom,
% 12.37/12.59      less(v8,v32) ).
% 12.37/12.59  
% 12.37/12.59  fof(ord_v8_v200,axiom,
% 12.37/12.60      less(v8,v200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v8_v600,axiom,
% 12.37/12.60      less(v8,v600) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v8_v800,axiom,
% 12.37/12.60      less(v8,v800) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v8_v1200,axiom,
% 12.37/12.60      less(v8,v1200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v32_v200,axiom,
% 12.37/12.60      less(v32,v200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v32_v600,axiom,
% 12.37/12.60      less(v32,v600) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v32_v800,axiom,
% 12.37/12.60      less(v32,v800) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v32_v1200,axiom,
% 12.37/12.60      less(v32,v1200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v200_v600,axiom,
% 12.37/12.60      less(v200,v600) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v200_v800,axiom,
% 12.37/12.60      less(v200,v800) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v200_v1200,axiom,
% 12.37/12.60      less(v200,v1200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v600_v800,axiom,
% 12.37/12.60      less(v600,v800) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v600_v1200,axiom,
% 12.37/12.60      less(v600,v1200) ).
% 12.37/12.60  
% 12.37/12.60  fof(ord_v800_v1200,axiom,
% 12.37/12.60      less(v800,v1200) ).
% 12.37/12.60  
% 12.37/12.60  fof(distinct,axiom,
% 12.37/12.60      ( v0 != v8
% 12.37/12.60      & v0 != v32
% 12.48/12.60      & v0 != v200
% 12.48/12.60      & v0 != v600
% 12.48/12.60      & v0 != v800
% 12.48/12.60      & v0 != v1200
% 12.48/12.60      & v8 != v32
% 12.48/12.60      & v8 != v200
% 12.48/12.60      & v8 != v600
% 12.48/12.60      & v8 != v800
% 12.48/12.60      & v8 != v1200
% 12.48/12.60      & v32 != v200
% 12.48/12.60      & v32 != v600
% 12.48/12.60      & v32 != v800
% 12.48/12.60      & v32 != v1200
% 12.48/12.60      & v200 != v600
% 12.48/12.60      & v200 != v800
% 12.48/12.60      & v200 != v1200
% 12.48/12.60      & v600 != v800
% 12.48/12.60      & v600 != v1200
% 12.48/12.60      & v800 != v1200 ) ).
% 12.48/12.60  
% 12.48/12.60  fof(odrl341,conjecture,
% 12.48/12.60      ~ ? [X,Y,Z] :
% 12.48/12.60          ( in_lopen(X,v0,v600)
% 12.48/12.60          & leq(v1200,X)
% 12.48/12.60          & in_lopen(Y,v0,v800)
% 12.48/12.60          & leq(v200,Y)
% 12.48/12.60          & in_lopen(Z,v0,v32)
% 12.48/12.60          & leq(v8,Z) ) ).
% 12.48/12.60  
% 12.48/12.60  %--------------------------------------------------------------------------
% 12.48/12.60  %-------------------------------------------
% 12.48/12.60  % Proof found
% 12.48/12.60  % SZS status Theorem for theBenchmark
% 12.48/12.60  % SZS output start Proof
% 12.48/12.60  %ClaNum:147(EqnAxiom:47)
% 12.48/12.60  %VarNum:252(SingletonVarNum:111)
% 12.48/12.60  %MaxLitNum:6
% 12.48/12.60  %MaxfuncDepth:1
% 12.48/12.60  %SharedTerms:74
% 12.48/12.60  %goalClause: 79 80 81 82 83 84
% 12.48/12.60  %singleGoalClaCount:6
% 12.48/12.60  [48]P1(a1)
% 12.48/12.60  [49]P1(a2)
% 12.48/12.60  [50]P1(a4)
% 12.48/12.60  [51]P9(a11)
% 12.48/12.60  [52]P9(a12)
% 12.48/12.60  [53]P9(a13)
% 12.48/12.60  [54]P9(a14)
% 12.48/12.60  [55]P9(a16)
% 12.48/12.60  [56]P9(a17)
% 12.48/12.60  [57]P9(a15)
% 12.48/12.60  [58]P10(a11,a12)
% 12.48/12.60  [59]P10(a11,a13)
% 12.48/12.60  [60]P10(a11,a14)
% 12.48/12.60  [61]P10(a11,a16)
% 12.48/12.60  [62]P10(a11,a17)
% 12.48/12.60  [63]P10(a11,a15)
% 12.48/12.60  [64]P10(a12,a13)
% 12.48/12.60  [65]P10(a12,a14)
% 12.48/12.60  [66]P10(a12,a16)
% 12.48/12.60  [67]P10(a12,a17)
% 12.48/12.60  [68]P10(a12,a15)
% 12.48/12.60  [69]P10(a13,a14)
% 12.48/12.60  [70]P10(a13,a16)
% 12.48/12.60  [71]P10(a13,a17)
% 12.48/12.60  [72]P10(a13,a15)
% 12.48/12.60  [73]P10(a14,a16)
% 12.48/12.60  [74]P10(a14,a17)
% 12.48/12.60  [75]P10(a14,a15)
% 12.48/12.60  [76]P10(a16,a17)
% 12.48/12.60  [77]P10(a16,a15)
% 12.48/12.60  [78]P10(a17,a15)
% 12.48/12.60  [79]P11(a12,a5)
% 12.48/12.60  [80]P11(a14,a6)
% 12.48/12.60  [81]P11(a15,a7)
% 12.48/12.60  [82]P2(a7,a11,a16)
% 12.48/12.60  [83]P2(a6,a11,a17)
% 12.48/12.60  [84]P2(a5,a11,a13)
% 12.48/12.60  [85]~E(a1,a2)
% 12.48/12.60  [86]~E(a1,a4)
% 12.48/12.60  [87]~E(a4,a2)
% 12.48/12.60  [88]~E(a12,a11)
% 12.48/12.60  [89]~E(a13,a11)
% 12.48/12.60  [90]~E(a13,a12)
% 12.48/12.60  [91]~E(a14,a11)
% 12.48/12.60  [92]~E(a14,a12)
% 12.48/12.60  [93]~E(a14,a13)
% 12.48/12.60  [94]~E(a16,a11)
% 12.48/12.60  [95]~E(a16,a12)
% 12.48/12.60  [96]~E(a16,a13)
% 12.48/12.60  [97]~E(a16,a14)
% 12.48/12.60  [98]~E(a17,a11)
% 12.48/12.60  [99]~E(a17,a12)
% 12.48/12.60  [100]~E(a17,a13)
% 12.48/12.60  [101]~E(a17,a14)
% 12.48/12.60  [102]~E(a17,a16)
% 12.48/12.60  [103]~E(a15,a11)
% 12.48/12.60  [104]~E(a15,a12)
% 12.48/12.60  [105]~E(a15,a13)
% 12.48/12.60  [106]~E(a15,a14)
% 12.48/12.60  [107]~E(a15,a16)
% 12.48/12.60  [108]~E(a15,a17)
% 12.48/12.60  [109]~P10(x1091,x1091)
% 12.48/12.60  [111]~E(x1111,x1112)+P11(x1111,x1112)
% 12.48/12.60  [119]~P10(x1191,x1192)+P11(x1191,x1192)
% 12.48/12.60  [131]P10(x1311,x1312)+~P2(x1312,x1311,x1313)
% 12.48/12.60  [132]P10(x1321,x1322)+~P7(x1321,x1323,x1322)
% 12.48/12.60  [133]P10(x1331,x1332)+~P8(x1332,x1331,x1333)
% 12.48/12.60  [134]P10(x1341,x1342)+~P8(x1341,x1343,x1342)
% 12.48/12.60  [135]P11(x1351,x1352)+~P3(x1352,x1351,x1353)
% 12.48/12.60  [136]P11(x1361,x1362)+~P3(x1361,x1363,x1362)
% 12.48/12.60  [137]P11(x1371,x1372)+~P2(x1371,x1373,x1372)
% 12.48/12.60  [138]P11(x1381,x1382)+~P7(x1382,x1381,x1383)
% 12.48/12.60  [142]P6(x1421,x1422,x1423,x1424)+P3(f8(x1421,x1422,x1423,x1424),x1423,x1424)
% 12.48/12.60  [143]P6(x1431,x1432,x1433,x1434)+P3(f8(x1431,x1432,x1433,x1434),x1431,x1432)
% 12.48/12.60  [144]P5(x1441,x1442,x1443,x1444)+P3(f9(x1441,x1442,x1443,x1444),x1441,x1442)
% 12.48/12.60  [145]~P4(x1451,x1452,x1453,x1454)+P3(f10(x1451,x1452,x1453,x1454),x1453,x1454)
% 12.48/12.60  [146]~P4(x1461,x1462,x1463,x1464)+P3(f10(x1461,x1462,x1463,x1464),x1461,x1462)
% 12.48/12.60  [147]P5(x1471,x1472,x1473,x1474)+~P3(f9(x1471,x1472,x1473,x1474),x1473,x1474)
% 12.48/12.60  [112]P10(x1122,x1121)+P10(x1121,x1122)+E(x1121,x1122)
% 12.48/12.60  [120]P10(x1201,x1202)+~P11(x1201,x1202)+E(x1201,x1202)
% 12.48/12.60  [121]~P11(x1212,x1211)+~P11(x1211,x1212)+E(x1211,x1212)
% 12.48/12.60  [123]~P10(x1231,x1233)+P10(x1231,x1232)+~P10(x1233,x1232)
% 12.48/12.60  [124]~P11(x1241,x1243)+P10(x1241,x1242)+~P10(x1243,x1242)
% 12.48/12.60  [125]~P11(x1253,x1252)+P10(x1251,x1252)+~P10(x1251,x1253)
% 12.48/12.60  [126]~P11(x1261,x1263)+P11(x1261,x1262)+~P11(x1263,x1262)
% 12.48/12.60  [127]~P11(x1271,x1273)+~P11(x1272,x1271)+P3(x1271,x1272,x1273)
% 12.48/12.60  [128]~P10(x1282,x1281)+~P11(x1281,x1283)+P2(x1281,x1282,x1283)
% 12.48/12.60  [129]~P10(x1291,x1293)+~P11(x1292,x1291)+P7(x1291,x1292,x1293)
% 12.48/12.60  [130]~P10(x1301,x1303)+~P10(x1302,x1301)+P8(x1301,x1302,x1303)
% 12.48/12.60  [139]~P3(x1395,x1391,x1392)+P4(x1391,x1392,x1393,x1394)+~P3(x1395,x1393,x1394)
% 12.48/12.60  [140]~P5(x1404,x1405,x1402,x1403)+P3(x1401,x1402,x1403)+~P3(x1401,x1404,x1405)
% 12.48/12.60  [141]~P6(x1414,x1415,x1412,x1413)+~P3(x1411,x1412,x1413)+~P3(x1411,x1414,x1415)
% 12.48/12.60  [110]~P1(x1101)+E(x1101,a2)+E(x1101,a4)+E(x1101,a1)
% 12.48/12.60  [113]~P1(x1131)+~P1(x1132)+~E(x1132,a1)+E(f3(x1131,x1132),a1)
% 12.48/12.60  [114]~P1(x1142)+~P1(x1141)+~E(x1141,a1)+E(f3(x1141,x1142),a1)
% 12.48/12.60  [115]~P1(x1152)+~P1(x1151)+~E(x1152,a2)+~E(x1151,a2)+E(f3(x1151,x1152),a2)
% 12.48/12.60  [122]~P1(x1222)+~P1(x1221)+E(f3(x1221,x1222),a1)+E(f3(x1221,x1222),a2)+E(f3(x1221,x1222),a4)
% 12.48/12.60  [116]~P1(x1161)+~P1(x1162)+~E(x1162,a4)+E(x1161,a1)+E(x1162,a1)+E(f3(x1161,x1162),a4)
% 12.48/12.60  [117]~P1(x1171)+~P1(x1172)+~E(x1172,a4)+E(x1171,a1)+E(x1172,a1)+E(f3(x1172,x1171),a4)
% 12.48/12.60  %EqnAxiom
% 12.48/12.60  [1]E(x11,x11)
% 12.48/12.60  [2]E(x22,x21)+~E(x21,x22)
% 12.48/12.60  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 12.48/12.60  [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 12.48/12.60  [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 12.48/12.60  [6]~E(x61,x62)+E(f9(x61,x63,x64,x65),f9(x62,x63,x64,x65))
% 12.48/12.60  [7]~E(x71,x72)+E(f9(x73,x71,x74,x75),f9(x73,x72,x74,x75))
% 12.48/12.60  [8]~E(x81,x82)+E(f9(x83,x84,x81,x85),f9(x83,x84,x82,x85))
% 12.48/12.60  [9]~E(x91,x92)+E(f9(x93,x94,x95,x91),f9(x93,x94,x95,x92))
% 12.48/12.60  [10]~E(x101,x102)+E(f10(x101,x103,x104,x105),f10(x102,x103,x104,x105))
% 12.48/12.60  [11]~E(x111,x112)+E(f10(x113,x111,x114,x115),f10(x113,x112,x114,x115))
% 12.48/12.60  [12]~E(x121,x122)+E(f10(x123,x124,x121,x125),f10(x123,x124,x122,x125))
% 12.48/12.60  [13]~E(x131,x132)+E(f10(x133,x134,x135,x131),f10(x133,x134,x135,x132))
% 12.48/12.60  [14]~E(x141,x142)+E(f8(x141,x143,x144,x145),f8(x142,x143,x144,x145))
% 12.48/12.60  [15]~E(x151,x152)+E(f8(x153,x151,x154,x155),f8(x153,x152,x154,x155))
% 12.48/12.60  [16]~E(x161,x162)+E(f8(x163,x164,x161,x165),f8(x163,x164,x162,x165))
% 12.48/12.60  [17]~E(x171,x172)+E(f8(x173,x174,x175,x171),f8(x173,x174,x175,x172))
% 12.48/12.60  [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 12.48/12.60  [19]P3(x192,x193,x194)+~E(x191,x192)+~P3(x191,x193,x194)
% 12.48/12.60  [20]P3(x203,x202,x204)+~E(x201,x202)+~P3(x203,x201,x204)
% 12.48/12.60  [21]P3(x213,x214,x212)+~E(x211,x212)+~P3(x213,x214,x211)
% 12.48/12.60  [22]P5(x222,x223,x224,x225)+~E(x221,x222)+~P5(x221,x223,x224,x225)
% 12.48/12.60  [23]P5(x233,x232,x234,x235)+~E(x231,x232)+~P5(x233,x231,x234,x235)
% 12.48/12.60  [24]P5(x243,x244,x242,x245)+~E(x241,x242)+~P5(x243,x244,x241,x245)
% 12.48/12.60  [25]P5(x253,x254,x255,x252)+~E(x251,x252)+~P5(x253,x254,x255,x251)
% 12.48/12.60  [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 12.48/12.60  [27]P8(x272,x273,x274)+~E(x271,x272)+~P8(x271,x273,x274)
% 12.48/12.60  [28]P8(x283,x282,x284)+~E(x281,x282)+~P8(x283,x281,x284)
% 12.48/12.60  [29]P8(x293,x294,x292)+~E(x291,x292)+~P8(x293,x294,x291)
% 12.48/12.60  [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 12.48/12.61  [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 12.48/12.61  [32]P7(x322,x323,x324)+~E(x321,x322)+~P7(x321,x323,x324)
% 12.48/12.61  [33]P7(x333,x332,x334)+~E(x331,x332)+~P7(x333,x331,x334)
% 12.48/12.61  [34]P7(x343,x344,x342)+~E(x341,x342)+~P7(x343,x344,x341)
% 12.48/12.61  [35]P11(x352,x353)+~E(x351,x352)+~P11(x351,x353)
% 12.48/12.61  [36]P11(x363,x362)+~E(x361,x362)+~P11(x363,x361)
% 12.48/12.61  [37]P2(x372,x373,x374)+~E(x371,x372)+~P2(x371,x373,x374)
% 12.48/12.61  [38]P2(x383,x382,x384)+~E(x381,x382)+~P2(x383,x381,x384)
% 12.48/12.61  [39]P2(x393,x394,x392)+~E(x391,x392)+~P2(x393,x394,x391)
% 12.48/12.61  [40]P4(x402,x403,x404,x405)+~E(x401,x402)+~P4(x401,x403,x404,x405)
% 12.48/12.61  [41]P4(x413,x412,x414,x415)+~E(x411,x412)+~P4(x413,x411,x414,x415)
% 12.48/12.61  [42]P4(x423,x424,x422,x425)+~E(x421,x422)+~P4(x423,x424,x421,x425)
% 12.48/12.61  [43]P4(x433,x434,x435,x432)+~E(x431,x432)+~P4(x433,x434,x435,x431)
% 12.48/12.61  [44]P6(x442,x443,x444,x445)+~E(x441,x442)+~P6(x441,x443,x444,x445)
% 12.48/12.61  [45]P6(x453,x452,x454,x455)+~E(x451,x452)+~P6(x453,x451,x454,x455)
% 12.48/12.61  [46]P6(x463,x464,x462,x465)+~E(x461,x462)+~P6(x463,x464,x461,x465)
% 12.48/12.61  [47]P6(x473,x474,x475,x472)+~E(x471,x472)+~P6(x473,x474,x475,x471)
% 12.48/12.61  
% 12.48/12.61  %-------------------------------------------
% 12.48/12.61  cnf(365,plain,
% 12.48/12.61     (P10(a16,a7)),
% 12.48/12.61     inference(scs_inference,[],[81,77,125])).
% 12.48/12.61  cnf(1776,plain,
% 12.48/12.61     ($false),
% 12.48/12.61     inference(scs_inference,[],[82,109,365,125,138,136,137]),
% 12.48/12.61     ['proof']).
% 12.48/12.61  % SZS output end Proof
% 12.48/12.61  % Total time :12.077333s
%------------------------------------------------------------------------------