TSTP Solution File: KRS186+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS186+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n032.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 05:39:35 EDT 2023

% Result   : Theorem 0.14s 0.73s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : KRS186+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Aug 28 01:36:15 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.54  start to proof:theBenchmark
% 0.14/0.73  %-------------------------------------------
% 0.14/0.73  % File        :CSE---1.6
% 0.14/0.73  % Problem     :theBenchmark
% 0.14/0.73  % Transform   :cnf
% 0.14/0.73  % Format      :tptp:raw
% 0.14/0.73  % Command     :java -jar mcs_scs.jar %d %s
% 0.14/0.73  
% 0.14/0.73  % Result      :Theorem 0.140000s
% 0.14/0.73  % Output      :CNFRefutation 0.140000s
% 0.14/0.73  %-------------------------------------------
% 0.14/0.73  %------------------------------------------------------------------------------
% 0.14/0.73  % File     : KRS186+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.73  % Domain   : Knowledge Representation
% 0.14/0.73  % Problem  : EQV isa THM
% 0.14/0.73  % Version  : [Sut08] axioms.
% 0.14/0.73  % English  :
% 0.14/0.73  
% 0.14/0.73  % Refs     : [Sut08] Sutcliffe (2008), The SZS Ontologies for Automated Rea
% 0.14/0.73  % Source   : [TPTP]
% 0.14/0.73  % Names    :
% 0.14/0.73  
% 0.14/0.73  % Status   : Theorem
% 0.14/0.73  % Rating   : 0.33 v8.1.0, 0.29 v7.4.0, 0.25 v7.3.0, 0.57 v7.2.0, 0.50 v7.0.0, 0.21 v6.3.0, 0.23 v6.2.0, 0.18 v6.1.0, 0.40 v6.0.0, 0.25 v5.5.0, 0.46 v5.4.0
% 0.14/0.73  % Syntax   : Number of formulae    :   33 (   3 unt;   0 def)
% 0.14/0.73  %            Number of atoms       :  107 (   0 equ)
% 0.14/0.73  %            Maximal formula atoms :    7 (   3 avg)
% 0.14/0.73  %            Number of connectives :   96 (  22   ~;   1   |;  35   &)
% 0.14/0.73  %                                         (  28 <=>;   8  =>;   0  <=;   2 <~>)
% 0.14/0.73  %            Maximal formula depth :   10 (   6 avg)
% 0.14/0.73  %            Maximal term depth    :    2 (   1 avg)
% 0.14/0.73  %            Number of predicates  :    7 (   7 usr;   0 prp; 2-3 aty)
% 0.14/0.73  %            Number of functors    :   20 (  20 usr;  19 con; 0-1 aty)
% 0.14/0.73  %            Number of variables   :  122 (  72   !;  50   ?)
% 0.14/0.73  % SPC      : FOF_THM_RFO_NEQ
% 0.14/0.73  
% 0.14/0.73  % Comments :
% 0.14/0.73  % Bugfixes : v5.4.0 - Added missing axiom in KRS001+1.ax
% 0.14/0.73  %------------------------------------------------------------------------------
% 0.14/0.73  %----Include SZS success ontology nodes
% 0.14/0.73  include('Axioms/KRS001+0.ax').
% 0.14/0.73  %----Include SZS success ontology node relationships
% 0.14/0.73  include('Axioms/KRS001+1.ax').
% 0.14/0.73  %------------------------------------------------------------------------------
% 0.14/0.73  fof(isa_eqv_thm,conjecture,
% 0.14/0.73      isa(eqv,thm) ).
% 0.14/0.73  
% 0.14/0.73  %------------------------------------------------------------------------------
% 0.14/0.73  %-------------------------------------------
% 0.14/0.73  % Proof found
% 0.14/0.73  % SZS status Theorem for theBenchmark
% 0.14/0.73  % SZS output start Proof
% 0.14/0.74  %ClaNum:109(EqnAxiom:0)
% 0.14/0.74  %VarNum:590(SingletonVarNum:249)
% 0.14/0.74  %MaxLitNum:6
% 0.14/0.74  %MaxfuncDepth:1
% 0.14/0.74  %SharedTerms:51
% 0.14/0.74  %goalClause: 13
% 0.14/0.74  %singleGoalClaCount:1
% 0.14/0.74  [1]P1(a1,a2)
% 0.14/0.74  [2]P1(a55,a56)
% 0.14/0.74  [3]P1(a55,a59)
% 0.14/0.74  [4]P1(a61,a62)
% 0.14/0.74  [5]P1(a65,a64)
% 0.14/0.74  [6]P1(a66,a68)
% 0.14/0.74  [7]P1(a69,a70)
% 0.14/0.74  [9]~P1(a57,a2)
% 0.14/0.74  [10]~P1(a65,a62)
% 0.14/0.74  [11]~P1(a67,a64)
% 0.14/0.74  [12]~P1(a66,a70)
% 0.14/0.74  [13]~P2(a4,a72)
% 0.14/0.74  [8]P1(x81,a3)
% 0.14/0.74  [14]~P1(x141,a58)
% 0.14/0.74  [18]~P1(a63,a56)+~P1(a63,a59)
% 0.14/0.74  [15]~P1(x151,a62)+P1(x151,a64)
% 0.14/0.74  [17]P1(x171,x172)+P1(x171,f73(x172))
% 0.14/0.74  [20]~P1(x201,x202)+~P1(x201,f73(x202))
% 0.14/0.74  [21]P4(x211,x212,a5)+P1(f7(x211),x211)
% 0.14/0.74  [24]P4(x241,x242,a85)+P1(f8(x241,x242),x242)
% 0.14/0.74  [25]P4(x251,x252,a79)+P1(f31(x251,x252),x251)
% 0.14/0.74  [26]P4(x261,x262,a72)+P1(f9(x261,x262),x261)
% 0.14/0.74  [42]P4(x421,x422,a72)+~P1(f9(x421,x422),x422)
% 0.14/0.74  [50]P2(x501,x502)+P4(f41(x501,x502),f47(x501,x502),x501)
% 0.14/0.74  [51]P5(x511,x512)+P4(f48(x511,x512),f51(x511,x512),x512)
% 0.14/0.74  [52]P5(x521,x522)+P4(f48(x521,x522),f51(x521,x522),x521)
% 0.14/0.74  [53]~P4(x531,x532,a81)+P1(f75(x531,x532),x532)
% 0.14/0.74  [54]~P4(x541,x542,a81)+P1(f75(x541,x542),x541)
% 0.14/0.74  [55]~P4(x551,x552,a4)+P1(f11(x551,x552),x551)
% 0.14/0.74  [56]~P4(x561,x562,a80)+P1(f13(x561,x562),x561)
% 0.14/0.74  [57]~P4(x571,x572,a89)+P1(f15(x571,x572),x571)
% 0.14/0.74  [58]~P4(x581,x582,a89)+P1(f17(x581,x582),x582)
% 0.14/0.74  [59]~P4(x591,x592,a74)+P1(f18(x591,x592),x591)
% 0.14/0.74  [60]~P4(x601,x602,a86)+P1(f20(x601,x602),x601)
% 0.14/0.74  [61]~P4(x611,x612,a90)+P1(f25(x611,x612),x611)
% 0.14/0.74  [62]~P4(x621,x622,a90)+P1(f28(x621,x622),x622)
% 0.14/0.74  [63]~P4(x631,x632,a82)+P1(f33(x631,x632),x632)
% 0.14/0.74  [64]~P4(x641,x642,a88)+P1(f34(x641,x642),x642)
% 0.14/0.74  [65]~P4(x651,x652,a6)+P1(f38(x651,x652),x651)
% 0.14/0.74  [66]~P4(x661,x662,a78)+P1(f42(x661,x662),x662)
% 0.14/0.74  [67]~P4(x671,x672,a78)+P1(f42(x671,x672),x671)
% 0.14/0.74  [68]~P4(x681,x682,a78)+P1(f44(x681,x682),x681)
% 0.14/0.74  [69]~P3(x691,x692)+P4(f45(x691,x692),f46(x691,x692),x692)
% 0.14/0.74  [70]~P3(x701,x702)+P4(f45(x701,x702),f46(x701,x702),x701)
% 0.14/0.74  [71]~P6(x711,x712)+P4(f49(x711,x712),f50(x711,x712),x711)
% 0.14/0.74  [72]~P4(x721,x722,a6)+P1(f38(x721,x722),f73(x722))
% 0.14/0.74  [73]~P4(x731,x732,a78)+P1(f44(x731,x732),f73(x732))
% 0.14/0.74  [82]~P4(x821,x822,a89)+~P1(f17(x821,x822),x821)
% 0.14/0.74  [83]~P4(x831,x832,a74)+~P1(f21(x831,x832),x831)
% 0.14/0.74  [84]~P4(x841,x842,a86)+~P1(f26(x841,x842),x841)
% 0.14/0.74  [85]~P4(x851,x852,a90)+~P1(f28(x851,x852),x851)
% 0.14/0.74  [86]~P4(x861,x862,a90)+~P1(f30(x861,x862),x862)
% 0.14/0.74  [87]~P4(x871,x872,a88)+~P1(f39(x871,x872),x872)
% 0.14/0.74  [99]P2(x991,x992)+~P4(f41(x991,x992),f47(x991,x992),x992)
% 0.14/0.74  [102]~P6(x1021,x1022)+~P4(f49(x1021,x1022),f50(x1021,x1022),x1022)
% 0.14/0.74  [22]~P1(x223,x222)+P4(x221,x222,a79)
% 0.14/0.74  [23]~P1(x233,x231)+P4(x231,x232,a85)
% 0.14/0.74  [27]P1(x271,x272)+~P4(x273,x272,a80)
% 0.14/0.74  [28]P1(x281,x282)+~P4(x283,x282,a83)
% 0.14/0.74  [29]P1(x291,x292)+~P4(x293,x292,a86)
% 0.14/0.74  [30]P1(x301,x302)+~P4(x303,x302,a84)
% 0.14/0.74  [31]P1(x311,x312)+~P4(x312,x313,a83)
% 0.14/0.74  [32]P1(x321,x322)+~P4(x322,x323,a87)
% 0.14/0.74  [36]~P1(x361,x362)+~P4(x362,x363,a5)
% 0.14/0.74  [37]~P1(x371,x372)+~P4(x372,x373,a82)
% 0.14/0.74  [38]~P1(x381,x382)+~P4(x382,x383,a84)
% 0.14/0.74  [39]~P1(x391,x392)+~P4(x392,x393,a88)
% 0.14/0.74  [35]~P4(x353,x352,a87)+P1(x351,f73(x352))
% 0.14/0.74  [76]P4(x761,x762,a10)+P1(f60(x761,x762),x761)+P1(f71(x761,x762),x762)
% 0.14/0.74  [93]P4(x931,x932,a84)+P1(f36(x931,x932),x931)+~P1(f37(x931,x932),x932)
% 0.14/0.74  [98]P4(x981,x982,a83)+~P1(f23(x981,x982),x981)+~P1(f24(x981,x982),x982)
% 0.14/0.74  [101]P4(x1011,x1012,a87)+~P1(f40(x1011,x1012),x1011)+~P1(f43(x1011,x1012),f73(x1012))
% 0.14/0.74  [108]P7(x1081,x1082)+P4(f53(x1081,x1082),f54(x1081,x1082),x1082)+~P4(f53(x1081,x1082),f54(x1081,x1082),x1081)
% 0.14/0.74  [109]P7(x1091,x1092)+P4(f53(x1091,x1092),f54(x1091,x1092),x1091)+~P4(f53(x1091,x1092),f54(x1091,x1092),x1092)
% 0.14/0.74  [34]~P1(x343,x341)+~P1(x343,x342)+P4(x341,x342,a81)
% 0.14/0.74  [43]P1(x431,x432)+~P1(x431,x433)+~P4(x433,x432,a72)
% 0.14/0.74  [44]P1(x441,x442)+~P1(x441,x443)+~P4(x442,x443,a4)
% 0.14/0.74  [45]P1(x451,x452)+~P1(x451,x453)+~P4(x452,x453,a74)
% 0.14/0.74  [46]P1(x461,x462)+~P1(x461,x463)+~P4(x463,x462,a4)
% 0.14/0.74  [47]P1(x471,x472)+~P1(x471,x473)+~P4(x473,x472,a89)
% 0.14/0.74  [48]P1(x481,x482)+~P1(x481,x483)+~P4(x483,x482,a74)
% 0.14/0.74  [49]P1(x491,x492)+~P1(x491,x493)+~P4(x493,x492,a90)
% 0.14/0.74  [40]~P1(x403,x401)+P4(x401,x402,a6)+~P1(x403,f73(x402))
% 0.14/0.74  [41]~P1(x413,x412)+P4(x411,x412,a82)+P1(f32(x411,x412),x411)
% 0.14/0.74  [77]~P1(x773,x771)+P4(x771,x772,a80)+~P1(f14(x771,x772),x772)
% 0.14/0.74  [78]~P1(x783,x782)+~P4(x781,x782,a85)+P1(f29(x781,x782),x781)
% 0.14/0.74  [79]~P1(x793,x791)+~P4(x791,x792,a79)+P1(f52(x791,x792),x792)
% 0.14/0.74  [80]~P1(x803,x801)+~P4(x801,x802,a10)+P1(f76(x801,x802),x802)
% 0.14/0.74  [81]~P1(x813,x812)+~P4(x811,x812,a10)+P1(f77(x811,x812),x811)
% 0.14/0.74  [33]~P1(x333,x332)+~P1(x334,x331)+P4(x331,x332,a10)
% 0.14/0.74  [75]~P7(x754,x753)+P4(x751,x752,x753)+P4(x751,x752,x754)
% 0.14/0.74  [91]~P4(x913,x914,x911)+P6(x911,x912)+P4(x913,x914,x912)
% 0.14/0.74  [94]~P4(x941,x942,x944)+P4(x941,x942,x943)+~P2(x944,x943)
% 0.14/0.74  [100]~P4(x1003,x1004,x1001)+P3(x1001,x1002)+~P4(x1003,x1004,x1002)
% 0.14/0.74  [104]~P4(x1043,x1044,x1041)+~P5(x1041,x1042)+~P4(x1043,x1044,x1042)
% 0.14/0.74  [105]~P4(x1053,x1054,x1051)+~P7(x1051,x1052)+~P4(x1053,x1054,x1052)
% 0.14/0.74  [92]~P1(x923,x921)+P4(x921,x922,a4)+P1(f12(x921,x922),x922)+P1(f12(x921,x922),x921)
% 0.14/0.74  [106]~P1(x1063,x1061)+P4(x1061,x1062,a4)+~P1(f12(x1061,x1062),x1062)+~P1(f12(x1061,x1062),x1061)
% 0.14/0.74  [74]P1(x741,x742)+~P1(x744,x742)+P4(x743,x742,a88)+P1(f35(x743,x742),x743)
% 0.14/0.74  [90]P1(x901,x902)+~P1(x904,x902)+P4(x902,x903,a86)+~P1(f22(x902,x903),x903)
% 0.14/0.74  [88]~P1(x881,x883)+P1(x881,x882)+~P1(x884,x882)+P4(x882,x883,a89)+P1(f16(x882,x883),x882)
% 0.14/0.74  [89]~P1(x894,x891)+~P1(x893,x891)+~P1(x894,x892)+P4(x891,x892,a78)+~P1(x893,f73(x892))
% 0.14/0.74  [96]P1(x961,x962)+~P1(x964,x962)+P4(x962,x963,a74)+P1(f19(x962,x963),x963)+P1(f19(x962,x963),x962)
% 0.14/0.74  [97]~P1(x971,x973)+P1(x971,x972)+~P1(x974,x972)+P4(x972,x973,a89)+~P1(f16(x972,x973),x973)
% 0.14/0.74  [107]P1(x1071,x1072)+~P1(x1074,x1072)+P4(x1072,x1073,a74)+~P1(f19(x1072,x1073),x1073)+~P1(f19(x1072,x1073),x1072)
% 0.14/0.74  [95]~P1(x953,x952)+P1(x951,x952)+P1(x953,x954)+~P1(x955,x954)+P4(x954,x952,a90)+P1(f27(x954,x952),x954)
% 0.14/0.74  [103]~P1(x1033,x1032)+P1(x1031,x1032)+P1(x1033,x1034)+~P1(x1035,x1034)+P4(x1034,x1032,a90)+~P1(f27(x1034,x1032),x1032)
% 0.14/0.74  %EqnAxiom
% 0.14/0.74  
% 0.14/0.74  %-------------------------------------------
% 0.14/0.74  cnf(111,plain,
% 0.14/0.74     (P4(a58,x1111,a5)),
% 0.14/0.74     inference(scs_inference,[],[14,11,15,21])).
% 0.14/0.74  cnf(112,plain,
% 0.14/0.74     (~P1(x1121,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(115,plain,
% 0.14/0.74     (P1(x1151,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(117,plain,
% 0.14/0.74     (~P4(x1171,a3,a90)),
% 0.14/0.74     inference(scs_inference,[],[8,115,14,11,15,21,87,86])).
% 0.14/0.74  cnf(118,plain,
% 0.14/0.74     (P1(x1181,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(121,plain,
% 0.14/0.74     (P1(x1211,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(124,plain,
% 0.14/0.74     (P1(x1241,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(127,plain,
% 0.14/0.74     (P1(x1271,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(130,plain,
% 0.14/0.74     (P1(x1301,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(133,plain,
% 0.14/0.74     (~P1(x1331,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(136,plain,
% 0.14/0.74     (~P1(x1361,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(139,plain,
% 0.14/0.74     (~P1(x1391,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(142,plain,
% 0.14/0.74     (~P1(x1421,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(145,plain,
% 0.14/0.74     (~P1(x1451,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(148,plain,
% 0.14/0.74     (~P1(x1481,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(151,plain,
% 0.14/0.74     (~P1(x1511,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(154,plain,
% 0.14/0.74     (~P1(x1541,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(157,plain,
% 0.14/0.74     (~P1(x1571,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(160,plain,
% 0.14/0.74     (~P1(x1601,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(163,plain,
% 0.14/0.74     (~P1(x1631,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(166,plain,
% 0.14/0.74     (~P1(x1661,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(169,plain,
% 0.14/0.74     (~P1(x1691,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(172,plain,
% 0.14/0.74     (~P1(x1721,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(175,plain,
% 0.14/0.74     (~P1(x1751,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(178,plain,
% 0.14/0.74     (P1(x1781,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(181,plain,
% 0.14/0.74     (~P1(x1811,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(184,plain,
% 0.14/0.74     (~P1(x1841,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(187,plain,
% 0.14/0.74     (~P1(x1871,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(200,plain,
% 0.14/0.74     (~P1(x2001,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(203,plain,
% 0.14/0.74     (~P1(x2031,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(206,plain,
% 0.14/0.74     (~P1(x2061,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(207,plain,
% 0.14/0.74     (P1(x2071,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(211,plain,
% 0.14/0.74     (P1(x2111,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(237,plain,
% 0.14/0.74     (~P1(x2371,f73(a3))),
% 0.14/0.74     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])).
% 0.14/0.74  cnf(239,plain,
% 0.14/0.74     (P1(x2391,f73(a58))),
% 0.14/0.74     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])).
% 0.14/0.74  cnf(243,plain,
% 0.14/0.74     (~P4(f41(a4,a72),f47(a4,a72),a72)),
% 0.14/0.74     inference(scs_inference,[],[13,8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,99])).
% 0.14/0.74  cnf(247,plain,
% 0.14/0.74     (P4(f45(a5,a5),f46(a5,a5),a5)),
% 0.14/0.74     inference(scs_inference,[],[13,8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,99,71,70])).
% 0.14/0.74  cnf(251,plain,
% 0.14/0.74     (P4(f41(a4,a72),f47(a4,a72),a4)),
% 0.14/0.74     inference(scs_inference,[],[13,8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,99,71,70,52,50])).
% 0.14/0.74  cnf(258,plain,
% 0.14/0.74     (~P4(a2,a3,a74)),
% 0.14/0.74     inference(scs_inference,[],[13,8,115,118,121,124,127,130,178,207,211,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,9,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,99,71,70,52,50,94,46,45])).
% 0.14/0.74  cnf(259,plain,
% 0.14/0.74     (P1(x2591,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(261,plain,
% 0.14/0.74     (~P4(a2,a3,a4)),
% 0.14/0.74     inference(scs_inference,[],[13,8,115,118,121,124,127,130,178,207,211,259,14,112,133,136,139,142,145,148,151,154,157,160,163,166,169,172,175,181,184,187,200,203,206,9,11,15,21,87,86,85,84,83,82,68,66,65,64,63,62,61,60,59,58,57,56,55,54,53,42,26,25,24,105,104,100,91,75,81,80,93,106,39,38,37,36,32,31,30,29,28,27,23,22,20,17,102,99,71,70,52,50,94,46,45,44])).
% 0.14/0.74  cnf(312,plain,
% 0.14/0.74     (P1(x3121,f73(a58))),
% 0.14/0.74     inference(rename_variables,[],[239])).
% 0.14/0.74  cnf(313,plain,
% 0.14/0.74     (P1(x3131,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(316,plain,
% 0.14/0.74     (P1(x3161,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(317,plain,
% 0.14/0.74     (P1(x3171,f73(a58))),
% 0.14/0.74     inference(rename_variables,[],[239])).
% 0.14/0.74  cnf(320,plain,
% 0.14/0.74     (~P1(x3201,a58)),
% 0.14/0.74     inference(rename_variables,[],[14])).
% 0.14/0.74  cnf(323,plain,
% 0.14/0.74     (~P1(x3231,f45(a5,a5))),
% 0.14/0.74     inference(scs_inference,[],[8,313,14,247,237,239,312,101,98,76,36])).
% 0.14/0.74  cnf(327,plain,
% 0.14/0.74     (P1(f9(f41(a4,a72),f47(a4,a72)),f41(a4,a72))),
% 0.14/0.74     inference(scs_inference,[],[4,8,313,14,247,237,239,312,243,101,98,76,36,15,26])).
% 0.14/0.74  cnf(338,plain,
% 0.14/0.74     (P1(x3381,a3)),
% 0.14/0.74     inference(rename_variables,[],[8])).
% 0.14/0.74  cnf(345,plain,
% 0.14/0.75     (P1(x3451,a3)),
% 0.14/0.75     inference(rename_variables,[],[8])).
% 0.14/0.75  cnf(348,plain,
% 0.14/0.75     (~P1(x3481,a58)),
% 0.14/0.75     inference(rename_variables,[],[14])).
% 0.14/0.75  cnf(361,plain,
% 0.14/0.75     (~P1(f9(f41(a4,a72),f47(a4,a72)),f47(a4,a72))),
% 0.14/0.75     inference(scs_inference,[],[10,4,8,313,316,338,345,14,320,9,1,251,247,237,239,312,317,111,117,243,258,101,98,76,36,15,26,94,91,106,55,105,90,74,107,87,84,64,60,42])).
% 0.14/0.75  cnf(367,plain,
% 0.14/0.75     (P4(a59,a59,a10)),
% 0.14/0.75     inference(scs_inference,[],[10,3,4,8,313,316,338,345,14,320,9,1,251,247,237,239,312,317,111,117,243,258,101,98,76,36,15,26,94,91,106,55,105,90,74,107,87,84,64,60,42,104,100,33])).
% 0.14/0.75  cnf(371,plain,
% 0.14/0.75     (~P4(a59,a58,a4)),
% 0.14/0.75     inference(scs_inference,[],[10,3,4,8,313,316,338,345,14,320,348,9,1,251,247,237,239,312,317,111,117,243,258,101,98,76,36,15,26,94,91,106,55,105,90,74,107,87,84,64,60,42,104,100,33,80,46])).
% 0.14/0.75  cnf(411,plain,
% 0.14/0.75     (~P1(x4111,a58)),
% 0.14/0.75     inference(rename_variables,[],[14])).
% 0.14/0.75  cnf(416,plain,
% 0.14/0.75     (~P1(x4161,f45(a5,a5))),
% 0.14/0.75     inference(rename_variables,[],[323])).
% 0.14/0.75  cnf(419,plain,
% 0.14/0.75     (~P1(x4191,f45(a5,a5))),
% 0.14/0.75     inference(rename_variables,[],[323])).
% 0.14/0.75  cnf(422,plain,
% 0.14/0.75     (~P1(x4221,f45(a5,a5))),
% 0.14/0.75     inference(rename_variables,[],[323])).
% 0.14/0.75  cnf(423,plain,
% 0.14/0.75     (~P1(x4231,a58)),
% 0.14/0.75     inference(rename_variables,[],[14])).
% 0.14/0.75  cnf(430,plain,
% 0.14/0.75     (P1(x4301,f73(a58))),
% 0.14/0.75     inference(rename_variables,[],[239])).
% 0.14/0.75  cnf(433,plain,
% 0.14/0.75     (P1(x4331,f73(a58))),
% 0.14/0.75     inference(rename_variables,[],[239])).
% 0.14/0.75  cnf(436,plain,
% 0.14/0.75     (P1(x4361,f73(a58))),
% 0.14/0.75     inference(rename_variables,[],[239])).
% 0.14/0.75  cnf(442,plain,
% 0.14/0.75     (~P1(x4421,f45(a5,a5))),
% 0.14/0.75     inference(rename_variables,[],[323])).
% 0.14/0.75  cnf(455,plain,
% 0.14/0.75     ($false),
% 0.14/0.75     inference(scs_inference,[],[1,12,6,8,14,411,423,3,323,416,419,422,442,361,327,261,367,371,239,430,433,436,251,92,49,57,55,76,36,47,42,87,82,106,26,64,81,80,84,46]),
% 0.14/0.75     ['proof']).
% 0.14/0.75  % SZS output end Proof
% 0.14/0.75  % Total time :0.140000s
%------------------------------------------------------------------------------