TSTP Solution File: SET688+4 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET688+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n006.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 14:30:43 EDT 2023

% Result   : Theorem 0.85s 0.91s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET688+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n006.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   : Sat Aug 26 13:54:07 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 0.85/0.90  %-------------------------------------------
% 0.85/0.90  % File        :CSE---1.6
% 0.85/0.90  % Problem     :theBenchmark
% 0.85/0.90  % Transform   :cnf
% 0.85/0.90  % Format      :tptp:raw
% 0.85/0.90  % Command     :java -jar mcs_scs.jar %d %s
% 0.85/0.90  
% 0.85/0.90  % Result      :Theorem 0.290000s
% 0.85/0.90  % Output      :CNFRefutation 0.290000s
% 0.85/0.90  %-------------------------------------------
% 0.85/0.91  %--------------------------------------------------------------------------
% 0.85/0.91  % File     : SET688+4 : TPTP v8.1.2. Released v2.2.0.
% 0.85/0.91  % Domain   : Set Theory (Naive)
% 0.85/0.91  % Problem  : Property of proper subset
% 0.85/0.91  % Version  : [Pas99] axioms.
% 0.85/0.91  % English  : If A is a proper subset of B and B a proper subset of C, then
% 0.85/0.91  %            A is not equal to C.
% 0.85/0.91  
% 0.85/0.91  % Refs     : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.85/0.91  % Source   : [Pas99]
% 0.85/0.91  % Names    :
% 0.85/0.91  
% 0.85/0.91  % Status   : Theorem
% 0.85/0.91  % Rating   : 0.14 v8.1.0, 0.11 v7.5.0, 0.09 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.09 v4.0.0, 0.12 v3.7.0, 0.20 v3.5.0, 0.16 v3.4.0, 0.26 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.00 v2.2.1
% 0.85/0.91  % Syntax   : Number of formulae    :   12 (   1 unt;   0 def)
% 0.85/0.91  %            Number of atoms       :   34 (   3 equ)
% 0.85/0.91  %            Maximal formula atoms :    5 (   2 avg)
% 0.85/0.91  %            Number of connectives :   27 (   5   ~;   2   |;   7   &)
% 0.85/0.91  %                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
% 0.85/0.91  %            Maximal formula depth :    9 (   6 avg)
% 0.85/0.91  %            Maximal term depth    :    2 (   1 avg)
% 0.85/0.91  %            Number of predicates  :    4 (   3 usr;   0 prp; 2-2 aty)
% 0.85/0.91  %            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
% 0.85/0.91  %            Number of variables   :   31 (  30   !;   1   ?)
% 0.85/0.91  % SPC      : FOF_THM_RFO_SEQ
% 0.85/0.91  
% 0.85/0.91  % Comments :
% 0.85/0.91  %--------------------------------------------------------------------------
% 0.85/0.91  %----Include set theory definitions
% 0.85/0.91  include('Axioms/SET006+0.ax').
% 0.85/0.91  %--------------------------------------------------------------------------
% 0.85/0.91  fof(thI04,conjecture,
% 0.85/0.91      ! [A,B,C] :
% 0.85/0.91        ( ( subset(A,B)
% 0.85/0.91          & ~ equal_set(A,B)
% 0.85/0.91          & subset(B,C)
% 0.85/0.91          & ~ equal_set(B,C) )
% 0.85/0.91       => ~ equal_set(A,C) ) ).
% 0.85/0.91  
% 0.85/0.91  %--------------------------------------------------------------------------
% 0.85/0.91  %-------------------------------------------
% 0.85/0.91  % Proof found
% 0.85/0.91  % SZS status Theorem for theBenchmark
% 0.85/0.91  % SZS output start Proof
% 0.85/0.91  %ClaNum:61(EqnAxiom:27)
% 0.85/0.91  %VarNum:147(SingletonVarNum:72)
% 0.85/0.91  %MaxLitNum:3
% 0.85/0.91  %MaxfuncDepth:1
% 0.85/0.91  %SharedTerms:9
% 0.85/0.91  %goalClause: 28 29 30 31 32
% 0.85/0.91  %singleGoalClaCount:5
% 0.85/0.91  [28]P1(a1,a7)
% 0.85/0.91  [29]P1(a7,a8)
% 0.85/0.91  [30]P2(a1,a8)
% 0.85/0.91  [31]~P2(a1,a7)
% 0.85/0.91  [32]~P2(a7,a8)
% 0.85/0.91  [33]~P3(x331,a2)
% 0.85/0.91  [36]~P2(x362,x361)+P1(x361,x362)
% 0.85/0.91  [37]~P2(x371,x372)+P1(x371,x372)
% 0.85/0.91  [34]~E(x341,x342)+P3(x341,f9(x342))
% 0.85/0.91  [35]E(x351,x352)+~P3(x351,f9(x352))
% 0.85/0.91  [38]~P1(x381,x382)+P3(x381,f10(x382))
% 0.85/0.91  [41]P1(x411,x412)+~P3(x411,f10(x412))
% 0.85/0.91  [42]P1(x421,x422)+P3(f4(x421,x422),x421)
% 0.85/0.91  [45]P3(f5(x451,x452),x452)+P3(x451,f12(x452))
% 0.85/0.91  [51]~P3(x511,f15(x512))+P3(x511,f6(x511,x512))
% 0.85/0.91  [52]~P3(x521,f15(x522))+P3(f6(x521,x522),x522)
% 0.85/0.91  [57]P1(x571,x572)+~P3(f4(x571,x572),x572)
% 0.85/0.91  [58]~P3(x581,f5(x581,x582))+P3(x581,f12(x582))
% 0.85/0.91  [39]~E(x391,x393)+P3(x391,f13(x392,x393))
% 0.85/0.91  [40]~E(x401,x402)+P3(x401,f13(x402,x403))
% 0.85/0.91  [46]~P3(x461,x463)+P3(x461,f14(x462,x463))
% 0.85/0.91  [47]~P3(x471,x472)+P3(x471,f14(x472,x473))
% 0.85/0.91  [54]P3(x541,x542)+~P3(x541,f11(x543,x542))
% 0.85/0.91  [55]P3(x551,x552)+~P3(x551,f11(x552,x553))
% 0.85/0.91  [56]P3(x561,x562)+~P3(x561,f3(x562,x563))
% 0.85/0.91  [60]~P3(x601,x602)+~P3(x601,f3(x603,x602))
% 0.85/0.91  [44]~P1(x442,x441)+~P1(x441,x442)+P2(x441,x442)
% 0.85/0.91  [43]~P3(x431,x433)+P3(x431,x432)+~P1(x433,x432)
% 0.85/0.91  [48]~P3(x483,x482)+~P3(x481,x483)+P3(x481,f15(x482))
% 0.85/0.91  [49]E(x491,x492)+E(x491,x493)+~P3(x491,f13(x493,x492))
% 0.85/0.91  [50]P3(x501,x502)+~P3(x502,x503)+~P3(x501,f12(x503))
% 0.85/0.91  [53]~P3(x531,x533)+P3(x531,x532)+P3(x531,f3(x533,x532))
% 0.85/0.91  [59]~P3(x591,x593)+~P3(x591,x592)+P3(x591,f11(x592,x593))
% 0.85/0.91  [61]P3(x611,x612)+P3(x611,x613)+~P3(x611,f14(x613,x612))
% 0.85/0.91  %EqnAxiom
% 0.85/0.91  [1]E(x11,x11)
% 0.85/0.91  [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.91  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.91  [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 0.85/0.91  [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 0.85/0.91  [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 0.85/0.91  [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 0.85/0.91  [8]~E(x81,x82)+E(f13(x81,x83),f13(x82,x83))
% 0.85/0.91  [9]~E(x91,x92)+E(f13(x93,x91),f13(x93,x92))
% 0.85/0.91  [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.85/0.91  [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.85/0.91  [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.85/0.91  [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.85/0.91  [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.85/0.91  [15]~E(x151,x152)+E(f3(x151,x153),f3(x152,x153))
% 0.85/0.91  [16]~E(x161,x162)+E(f3(x163,x161),f3(x163,x162))
% 0.85/0.91  [17]~E(x171,x172)+E(f11(x171,x173),f11(x172,x173))
% 0.85/0.91  [18]~E(x181,x182)+E(f11(x183,x181),f11(x183,x182))
% 0.85/0.91  [19]~E(x191,x192)+E(f15(x191),f15(x192))
% 0.85/0.91  [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 0.85/0.91  [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 0.85/0.91  [22]P1(x222,x223)+~E(x221,x222)+~P1(x221,x223)
% 0.85/0.91  [23]P1(x233,x232)+~E(x231,x232)+~P1(x233,x231)
% 0.85/0.91  [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.85/0.91  [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.85/0.91  [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.85/0.91  [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.85/0.91  
% 0.85/0.91  %-------------------------------------------
% 0.85/0.92  cnf(62,plain,
% 0.85/0.92     (P1(a2,x621)),
% 0.85/0.92     inference(scs_inference,[],[33,42])).
% 0.85/0.92  cnf(63,plain,
% 0.85/0.92     (~P3(x631,a2)),
% 0.85/0.92     inference(rename_variables,[],[33])).
% 0.85/0.92  cnf(64,plain,
% 0.85/0.92     (~P3(x641,f15(a2))),
% 0.85/0.92     inference(scs_inference,[],[33,63,42,52])).
% 0.85/0.92  cnf(65,plain,
% 0.85/0.92     (~P3(x651,a2)),
% 0.85/0.92     inference(rename_variables,[],[33])).
% 0.85/0.92  cnf(67,plain,
% 0.85/0.92     (~E(a8,a7)),
% 0.85/0.92     inference(scs_inference,[],[33,63,30,31,42,52,27])).
% 0.85/0.92  cnf(68,plain,
% 0.85/0.92     (~E(a1,a7)),
% 0.85/0.92     inference(scs_inference,[],[33,63,30,31,32,42,52,27,26])).
% 0.85/0.92  cnf(69,plain,
% 0.85/0.92     (~P1(a7,a1)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,30,31,32,42,52,27,26,44])).
% 0.85/0.92  cnf(74,plain,
% 0.85/0.92     (P1(a8,a1)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,30,31,32,42,52,27,26,44,2,37,36])).
% 0.85/0.92  cnf(76,plain,
% 0.85/0.92     (~P3(x761,f3(a2,x762))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56])).
% 0.85/0.92  cnf(78,plain,
% 0.85/0.92     (~P3(x781,f11(a2,x782))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55])).
% 0.85/0.92  cnf(80,plain,
% 0.85/0.92     (~P3(x801,f11(x802,a2))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55,54])).
% 0.85/0.92  cnf(82,plain,
% 0.85/0.92     (~P3(a7,f10(a1))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41])).
% 0.85/0.92  cnf(84,plain,
% 0.85/0.92     (P3(a1,f10(a7))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38])).
% 0.85/0.92  cnf(88,plain,
% 0.85/0.92     (~P3(f4(a7,a1),a1)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57])).
% 0.85/0.92  cnf(90,plain,
% 0.85/0.92     (P3(x901,f12(a2))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45])).
% 0.85/0.92  cnf(91,plain,
% 0.85/0.92     (~P3(x911,a2)),
% 0.85/0.92     inference(rename_variables,[],[33])).
% 0.85/0.92  cnf(93,plain,
% 0.85/0.92     (~E(f10(a7),a2)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25])).
% 0.85/0.92  cnf(94,plain,
% 0.85/0.92     (~P3(x941,a2)),
% 0.85/0.92     inference(rename_variables,[],[33])).
% 0.85/0.92  cnf(95,plain,
% 0.85/0.92     (~P3(x951,f10(a1))+~E(x951,a7)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25,24])).
% 0.85/0.92  cnf(96,plain,
% 0.85/0.92     (~E(a8,a1)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,29,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25,24,23])).
% 0.85/0.92  cnf(97,plain,
% 0.85/0.92     (~E(a2,a7)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,29,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25,24,23,22])).
% 0.85/0.92  cnf(98,plain,
% 0.85/0.92     (~P1(f10(a7),a2)),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,94,29,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25,24,23,22,43])).
% 0.85/0.92  cnf(99,plain,
% 0.85/0.92     (~P3(x991,a2)),
% 0.85/0.92     inference(rename_variables,[],[33])).
% 0.85/0.92  cnf(103,plain,
% 0.85/0.92     (~P3(x1031,f14(a2,a2))),
% 0.85/0.92     inference(scs_inference,[],[28,33,63,65,91,94,99,29,30,31,32,42,52,27,26,44,2,37,36,56,55,54,41,38,35,57,45,25,24,23,22,43,50,61])).
% 0.85/0.92  cnf(117,plain,
% 0.85/0.92     (P3(x1171,f14(f12(a2),x1172))),
% 0.85/0.92     inference(scs_inference,[],[90,60,47])).
% 0.85/0.92  cnf(121,plain,
% 0.85/0.92     (P3(f4(a7,a1),a7)),
% 0.85/0.92     inference(scs_inference,[],[69,90,60,47,46,42])).
% 0.85/0.92  cnf(123,plain,
% 0.85/0.92     (~P1(a8,a7)),
% 0.85/0.92     inference(scs_inference,[],[29,32,69,90,60,47,46,42,44])).
% 0.85/0.92  cnf(130,plain,
% 0.85/0.92     (~P2(a2,f10(a7))),
% 0.85/0.92     inference(scs_inference,[],[29,32,76,69,90,98,60,47,46,42,44,53,37,36])).
% 0.85/0.92  cnf(133,plain,
% 0.85/0.92     (P3(x1331,f12(a2))),
% 0.85/0.92     inference(rename_variables,[],[90])).
% 0.85/0.92  cnf(135,plain,
% 0.85/0.92     (~P3(f4(a7,a1),f12(f10(a7)))),
% 0.85/0.92     inference(scs_inference,[],[29,32,76,69,90,84,88,98,60,47,46,42,44,53,37,36,57,50])).
% 0.85/0.92  cnf(142,plain,
% 0.85/0.92     (P3(x1421,f12(a2))),
% 0.85/0.92     inference(rename_variables,[],[90])).
% 0.85/0.92  cnf(144,plain,
% 0.85/0.92     (P3(f5(f4(a7,a1),f10(a7)),f10(a7))),
% 0.85/0.92     inference(scs_inference,[],[29,32,67,76,69,90,133,84,88,93,98,60,47,46,42,44,53,37,36,57,50,49,3,48,45])).
% 0.85/0.92  cnf(146,plain,
% 0.85/0.92     (P3(f4(a7,a1),a8)),
% 0.85/0.92     inference(scs_inference,[],[29,32,67,76,69,90,133,84,88,93,98,60,47,46,42,44,53,37,36,57,50,49,3,48,45,43])).
% 0.85/0.92  cnf(147,plain,
% 0.85/0.92     (~P1(x1471,x1472)+P3(x1473,x1472)+~P3(x1473,x1471)),
% 0.85/0.92     inference(rename_variables,[],[43])).
% 0.85/0.92  cnf(158,plain,
% 0.85/0.92     (~P3(x1581,a1)+P3(x1581,a7)),
% 0.85/0.92     inference(scs_inference,[],[28,33,29,32,67,76,69,90,133,142,82,84,88,93,98,60,47,46,42,44,53,37,36,57,50,49,3,48,45,43,25,23,22,51,41,61,147])).
% 0.85/0.92  cnf(164,plain,
% 0.85/0.92     (P2(a2,a2)),
% 0.85/0.92     inference(scs_inference,[],[62,44])).
% 0.85/0.92  cnf(168,plain,
% 0.85/0.92     (P1(f15(a2),x1681)),
% 0.85/0.92     inference(scs_inference,[],[62,64,44,42])).
% 0.85/0.92  cnf(169,plain,
% 0.85/0.92     (~P3(x1691,f15(a2))),
% 0.85/0.92     inference(rename_variables,[],[64])).
% 0.85/0.92  cnf(171,plain,
% 0.85/0.92     (~P3(a8,f10(a7))),
% 0.85/0.92     inference(scs_inference,[],[62,64,123,44,42,41])).
% 0.85/0.92  cnf(176,plain,
% 0.85/0.92     (~P3(f4(a8,a7),a7)),
% 0.85/0.92     inference(scs_inference,[],[62,64,169,123,44,42,41,45,57])).
% 0.85/0.92  cnf(178,plain,
% 0.85/0.92     (~P1(f14(f12(a2),x1781),a2)),
% 0.85/0.92     inference(scs_inference,[],[62,33,117,64,169,123,44,42,41,45,57,43])).
% 0.85/0.92  cnf(183,plain,
% 0.85/0.92     (~P2(a2,f14(f12(a2),x1831))),
% 0.85/0.92     inference(scs_inference,[],[62,33,117,64,169,123,44,42,41,45,57,43,37,36])).
% 0.85/0.92  cnf(185,plain,
% 0.85/0.92     (~P3(f4(a8,a7),a1)),
% 0.85/0.92     inference(scs_inference,[],[62,33,117,64,169,123,44,42,41,45,57,43,37,36,158])).
% 0.85/0.92  cnf(189,plain,
% 0.85/0.92     (P3(f4(f10(a7),a2),f10(a7))),
% 0.85/0.92     inference(scs_inference,[],[98,42])).
% 0.85/0.92  cnf(199,plain,
% 0.85/0.92     (P2(a2,f15(a2))),
% 0.85/0.92     inference(scs_inference,[],[62,168,44])).
% 0.85/0.92  cnf(201,plain,
% 0.85/0.92     (P1(a2,x2011)),
% 0.85/0.92     inference(rename_variables,[],[62])).
% 0.85/0.92  cnf(203,plain,
% 0.85/0.92     (P1(f11(a2,x2031),x2032)),
% 0.85/0.92     inference(scs_inference,[],[62,168,78,44,42])).
% 0.85/0.92  cnf(208,plain,
% 0.85/0.92     (~P1(a8,f15(a2))),
% 0.85/0.92     inference(scs_inference,[],[64,62,146,168,178,78,44,42,41,43])).
% 0.85/0.92  cnf(209,plain,
% 0.85/0.92     (~P3(x2091,f15(a2))),
% 0.85/0.92     inference(rename_variables,[],[64])).
% 0.85/0.92  cnf(213,plain,
% 0.85/0.92     (~P3(f4(a7,a1),f5(f4(a7,a1),f10(a7)))),
% 0.85/0.92     inference(scs_inference,[],[64,209,62,146,168,178,78,135,44,42,41,43,55,58])).
% 0.85/0.92  cnf(218,plain,
% 0.85/0.92     (~P3(x2181,f15(a2))),
% 0.85/0.92     inference(rename_variables,[],[64])).
% 0.85/0.92  cnf(222,plain,
% 0.85/0.92     (P3(a2,f10(x2221))),
% 0.85/0.92     inference(scs_inference,[],[64,209,218,62,201,146,68,168,178,78,135,44,42,41,43,55,58,35,52,54,38])).
% 0.85/0.92  cnf(228,plain,
% 0.85/0.92     (~P3(x2281,f15(a2))),
% 0.85/0.92     inference(rename_variables,[],[64])).
% 0.85/0.92  cnf(249,plain,
% 0.85/0.92     (P3(f5(x2491,f10(x2492)),f10(x2492))),
% 0.85/0.92     inference(scs_inference,[],[64,228,33,62,144,213,130,96,222,199,208,74,25,27,23,22,42,60,47,46,50,53,49,24,45])).
% 0.85/0.92  cnf(251,plain,
% 0.85/0.92     (P1(f5(x2511,f10(x2512)),x2512)),
% 0.85/0.92     inference(scs_inference,[],[64,228,33,62,144,213,130,96,222,199,208,74,25,27,23,22,42,60,47,46,50,53,49,24,45,41])).
% 0.85/0.92  cnf(262,plain,
% 0.85/0.92     (P3(f5(x2621,f10(x2622)),f10(x2622))),
% 0.85/0.92     inference(rename_variables,[],[249])).
% 0.85/0.92  cnf(266,plain,
% 0.85/0.92     (~P3(x2661,f11(x2662,a2))),
% 0.85/0.92     inference(rename_variables,[],[80])).
% 0.85/0.92  cnf(270,plain,
% 0.85/0.92     (P1(f11(x2701,a2),x2702)),
% 0.85/0.92     inference(scs_inference,[],[249,97,80,266,208,95,49,45,36,42])).
% 0.85/0.92  cnf(285,plain,
% 0.85/0.92     (P1(x2851,f12(f11(x2852,a2)))),
% 0.85/0.92     inference(scs_inference,[],[64,249,262,251,203,97,121,183,80,266,164,178,98,208,95,49,45,36,42,41,37,25,27,23,22,50,57])).
% 0.85/0.92  cnf(291,plain,
% 0.85/0.92     (P3(f4(a8,a7),a8)),
% 0.85/0.92     inference(scs_inference,[],[189,171,123,24,42])).
% 0.85/0.92  cnf(298,plain,
% 0.85/0.92     (P1(f3(a2,x2981),x2982)),
% 0.85/0.92     inference(scs_inference,[],[76,42])).
% 0.85/0.92  cnf(303,plain,
% 0.85/0.92     (P3(f11(x3031,a2),f10(x3032))),
% 0.85/0.92     inference(scs_inference,[],[176,270,76,42,55,38])).
% 0.85/0.92  cnf(326,plain,
% 0.85/0.92     (P2(a2,f3(a2,x3261))),
% 0.85/0.92     inference(scs_inference,[],[62,298,44])).
% 0.85/0.92  cnf(330,plain,
% 0.85/0.92     (~P1(f10(x3301),f15(a2))),
% 0.85/0.92     inference(scs_inference,[],[64,62,298,303,44,43])).
% 0.85/0.92  cnf(333,plain,
% 0.85/0.92     (P3(f4(f10(x3331),f15(a2)),f10(x3331))),
% 0.85/0.92     inference(scs_inference,[],[64,62,298,303,44,43,42])).
% 0.85/0.92  cnf(355,plain,
% 0.85/0.92     (~E(f4(f10(a1),f15(a2)),a7)),
% 0.85/0.92     inference(scs_inference,[],[33,69,62,333,285,330,326,130,103,25,23,27,22,42,41,95])).
% 0.85/0.92  cnf(459,plain,
% 0.85/0.92     ($false),
% 0.85/0.92     inference(scs_inference,[],[74,355,185,291,49,43]),
% 0.85/0.92     ['proof']).
% 0.85/0.92  % SZS output end Proof
% 0.85/0.92  % Total time :0.290000s
%------------------------------------------------------------------------------