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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n023.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 : Mon Jun 24 13:42:01 EDT 2024

% Result   : Theorem 61.57s 61.72s
% Output   : CNFRefutation 62.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Jun 18 10:10:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.49/0.56  start to proof:theBenchmark
% 61.57/61.70  %-------------------------------------------
% 61.57/61.70  % File        :CSE---1.7
% 61.57/61.70  % Problem     :theBenchmark
% 61.57/61.70  % Transform   :cnf
% 61.57/61.70  % Format      :tptp:raw
% 61.57/61.70  % Command     :java -jar mcs_scs.jar %d %s
% 61.57/61.70  
% 61.57/61.70  % Result      :Theorem 61.090000s
% 61.57/61.70  % Output      :CNFRefutation 61.090000s
% 61.57/61.70  %-------------------------------------------
% 61.57/61.72  %--------------------------------------------------------------------------
% 61.57/61.72  % File     : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% 61.57/61.72  % Domain   : Puzzles
% 61.57/61.72  % Problem  : The Lion and the Unicorn
% 61.57/61.72  % Version  : [OS95] axioms.
% 61.57/61.72  % English  :
% 61.57/61.72  
% 61.57/61.72  % Refs     : [Wei94] Weidenbach (1994), Email to G. Sutcliffe
% 61.57/61.72  %          : [Wei93] Weidenbach (1993), Extending the Resolution Method wit
% 61.57/61.72  %          : [Smu78] Smullyan (1978), What is the Name of This Book? The Ri
% 61.57/61.72  %          : [OS85]  Ohlbach & Schmidt-Schauss M. (1985), The Lion and the
% 61.57/61.72  % Source   : [Wei94]
% 61.57/61.72  % Names    :
% 61.57/61.72  
% 61.57/61.72  % Status   : Theorem
% 61.57/61.72  % Rating   : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v2.2.1
% 61.57/61.72  % Syntax   : Number of formulae    :   46 (   7 unt;   0 def)
% 61.57/61.72  %            Number of atoms       :  110 (   0 equ)
% 61.57/61.72  %            Maximal formula atoms :    5 (   2 avg)
% 61.57/61.72  %            Number of connectives :   84 (  20   ~;   0   |;  10   &)
% 61.57/61.72  %                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
% 61.57/61.72  %            Maximal formula depth :    8 (   4 avg)
% 61.57/61.72  %            Maximal term depth    :    2 (   1 avg)
% 61.57/61.72  %            Number of predicates  :   11 (  11 usr;   0 prp; 1-3 aty)
% 61.57/61.72  %            Number of functors    :   10 (  10 usr;   9 con; 0-1 aty)
% 61.57/61.72  %            Number of variables   :   47 (  46   !;   1   ?)
% 61.57/61.72  % SPC      : FOF_THM_RFO_NEQ
% 61.57/61.72  
% 61.57/61.72  % Comments : This problem can be easily solved by sorted theorem provers which
% 61.57/61.72  %            are able to represent the one place predicates as sorts, but is
% 61.57/61.72  %            very hard for standard first-order provers. It can be further
% 61.57/61.72  %            complicated by iterating the 'yesterday' nesting in the theorem,
% 61.57/61.72  %            e.g.  the next iteration would be: -(exists x (day(x) &
% 61.57/61.72  %            lies(a_lion,x,yesterday(yesterday(x))) & lies(a_unicorn,x,
% 61.57/61.72  %            yesterday(yesterday(x))))).
% 61.57/61.72  %--------------------------------------------------------------------------
% 61.57/61.72  fof(monday,axiom,
% 61.57/61.72      monday(a_monday) ).
% 61.57/61.72  
% 61.57/61.72  fof(tuesday,axiom,
% 61.57/61.72      tuesday(a_tuesday) ).
% 61.57/61.72  
% 61.57/61.72  fof(wednesday,axiom,
% 61.57/61.72      wednesday(a_wednesday) ).
% 61.57/61.72  
% 61.57/61.72  fof(thursday,axiom,
% 61.57/61.72      thursday(a_thursday) ).
% 61.57/61.72  
% 61.57/61.72  fof(friday,axiom,
% 61.57/61.72      friday(a_friday) ).
% 61.57/61.72  
% 61.57/61.72  fof(saturday,axiom,
% 61.57/61.72      saturday(a_saturday) ).
% 61.57/61.72  
% 61.57/61.72  fof(sunday,axiom,
% 61.57/61.72      sunday(a_sunday) ).
% 61.57/61.72  
% 61.57/61.72  fof(monday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( monday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(tuesday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( tuesday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(wednesday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( wednesday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(thursday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( thursday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(friday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( friday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(saturday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( saturday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(sunday_is_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( sunday(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(monday_follows_sunday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( monday(X)
% 61.57/61.72       => sunday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(tuesday_follows_monday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( tuesday(X)
% 61.57/61.72       => monday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(wednesday_follows_tuesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( wednesday(X)
% 61.57/61.72       => tuesday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(thursday_follows_wednesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( thursday(X)
% 61.57/61.72       => wednesday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(friday_follows_thursday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( friday(X)
% 61.57/61.72       => thursday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(saturday_follows_friday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( saturday(X)
% 61.57/61.72       => friday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(sunday_follows_saturday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( sunday(X)
% 61.57/61.72       => saturday(yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_monday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( monday(X)
% 61.57/61.72       => lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_tuesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( tuesday(X)
% 61.57/61.72       => lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_wednesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( wednesday(X)
% 61.57/61.72       => lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_does_not_lie_thursday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( thursday(X)
% 61.57/61.72       => ~ lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_does_not_lie_friday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( friday(X)
% 61.57/61.72       => ~ lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_does_not_lie_saturday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( saturday(X)
% 61.57/61.72       => ~ lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_does_not_lie_sunday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( sunday(X)
% 61.57/61.72       => ~ lion_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_does_not_lie_monday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( monday(X)
% 61.57/61.72       => ~ unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_does_not_lie_tuesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( tuesday(X)
% 61.57/61.72       => ~ unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_does_not_lie_wednesday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( wednesday(X)
% 61.57/61.72       => ~ unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_thursday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( thursday(X)
% 61.57/61.72       => unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_friday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( friday(X)
% 61.57/61.72       => unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_saturday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( saturday(X)
% 61.57/61.72       => unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_does_not_lie_sunday,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( sunday(X)
% 61.57/61.72       => ~ unicorn_lies(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_on_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( lion_lies(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_on_a_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( unicorn_lies(X)
% 61.57/61.72       => day(X) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_on_this_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( lion_lies(X)
% 61.57/61.72                & lies_on_one_of(a_lion,X,Y) )
% 61.57/61.72             => ~ lion_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_on_other_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( ~ lion_lies(X)
% 61.57/61.72                & lies_on_one_of(a_lion,X,Y) )
% 61.57/61.72             => lion_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_on_neither,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( ~ lion_lies(X)
% 61.57/61.72                & ~ lies_on_one_of(a_lion,X,Y) )
% 61.57/61.72             => ~ lion_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(lion_lies_on_both,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( lion_lies(X)
% 61.57/61.72                & ~ lies_on_one_of(a_lion,X,Y) )
% 61.57/61.72             => lion_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_on_this_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( unicorn_lies(X)
% 61.57/61.72                & lies_on_one_of(a_unicorn,X,Y) )
% 61.57/61.72             => ~ unicorn_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_on_other_day,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( ~ unicorn_lies(X)
% 61.57/61.72                & lies_on_one_of(a_unicorn,X,Y) )
% 61.57/61.72             => unicorn_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_on_neither,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( ~ unicorn_lies(X)
% 61.57/61.72                & ~ lies_on_one_of(a_unicorn,X,Y) )
% 61.57/61.72             => ~ unicorn_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(unicorn_lies_on_both,axiom,
% 61.57/61.72      ! [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72       => ! [Y] :
% 61.57/61.72            ( day(Y)
% 61.57/61.72           => ( ( unicorn_lies(X)
% 61.57/61.72                & ~ lies_on_one_of(a_unicorn,X,Y) )
% 61.57/61.72             => unicorn_lies(Y) ) ) ) ).
% 61.57/61.72  
% 61.57/61.72  fof(prove_there_are_close_lying_days,conjecture,
% 61.57/61.72      ? [X] :
% 61.57/61.72        ( day(X)
% 61.57/61.72        & lies_on_one_of(a_lion,X,yesterday(X))
% 61.57/61.72        & lies_on_one_of(a_unicorn,X,yesterday(X)) ) ).
% 61.57/61.72  
% 61.57/61.72  %--------------------------------------------------------------------------
% 61.57/61.72  %-------------------------------------------
% 61.57/61.72  % Proof found
% 61.57/61.72  % SZS status Theorem for theBenchmark
% 61.57/61.72  % SZS output start Proof
% 61.68/61.74  %ClaNum:46(EqnAxiom:0)
% 61.68/61.74  %VarNum:113(SingletonVarNum:47)
% 61.68/61.74  %MaxLitNum:5
% 61.68/61.74  %MaxfuncDepth:1
% 61.68/61.74  %SharedTerms:16
% 61.68/61.74  %goalClause: 46
% 61.68/61.74  [1]P1(a1)
% 61.68/61.74  [2]P6(a4)
% 61.68/61.74  [3]P10(a8)
% 61.68/61.74  [4]P7(a5)
% 61.68/61.74  [5]P2(a2)
% 61.68/61.74  [6]P8(a6)
% 61.68/61.74  [7]P9(a7)
% 61.68/61.74  [8]~P1(x81)+P3(x81)
% 61.68/61.74  [9]~P6(x91)+P3(x91)
% 61.68/61.74  [10]~P10(x101)+P3(x101)
% 61.68/61.74  [11]~P7(x111)+P3(x111)
% 61.68/61.74  [12]~P2(x121)+P3(x121)
% 61.68/61.74  [13]~P8(x131)+P3(x131)
% 61.68/61.74  [14]~P9(x141)+P3(x141)
% 61.68/61.74  [15]~P4(x151)+P3(x151)
% 61.68/61.74  [16]~P11(x161)+P3(x161)
% 61.68/61.74  [17]~P1(x171)+P4(x171)
% 61.68/61.74  [18]~P6(x181)+P4(x181)
% 61.68/61.74  [19]~P10(x191)+P4(x191)
% 61.68/61.74  [20]~P7(x201)+P11(x201)
% 61.68/61.74  [21]~P2(x211)+P11(x211)
% 61.68/61.74  [22]~P8(x221)+P11(x221)
% 61.68/61.74  [23]~P11(x231)+~P1(x231)
% 61.68/61.74  [24]~P11(x241)+~P6(x241)
% 61.68/61.74  [25]~P11(x251)+~P10(x251)
% 61.68/61.74  [26]~P4(x261)+~P7(x261)
% 61.68/61.74  [27]~P4(x271)+~P2(x271)
% 61.68/61.74  [28]~P4(x281)+~P8(x281)
% 61.68/61.74  [29]~P4(x291)+~P9(x291)
% 61.68/61.74  [30]~P11(x301)+~P9(x301)
% 61.68/61.74  [31]~P6(x311)+P1(f10(x311))
% 61.68/61.74  [32]~P10(x321)+P6(f10(x321))
% 61.68/61.74  [33]~P7(x331)+P10(f10(x331))
% 61.68/61.74  [34]~P2(x341)+P7(f10(x341))
% 61.68/61.74  [35]~P8(x351)+P2(f10(x351))
% 61.68/61.74  [36]~P9(x361)+P8(f10(x361))
% 61.68/61.74  [37]~P1(x371)+P9(f10(x371))
% 61.68/61.74  [46]~P3(x461)+~P5(a3,x461,f10(x461))+~P5(a9,x461,f10(x461))
% 61.68/61.74  [38]~P3(x381)+~P3(x382)+~P4(x382)+P4(x381)+P5(a3,x382,x381)
% 61.68/61.74  [39]~P3(x392)+~P3(x391)+~P4(x392)+P4(x391)+P5(a3,x391,x392)
% 61.68/61.74  [40]~P3(x401)+~P3(x402)+~P11(x402)+P11(x401)+P5(a9,x402,x401)
% 61.68/61.74  [41]~P3(x412)+~P3(x411)+~P11(x412)+P11(x411)+P5(a9,x411,x412)
% 61.68/61.74  [42]~P3(x421)+~P3(x422)+P4(x421)+P4(x422)+~P5(a3,x422,x421)
% 61.68/61.74  [43]~P3(x431)+~P3(x432)+P11(x431)+P11(x432)+~P5(a9,x432,x431)
% 61.68/61.74  [44]~P4(x441)+~P4(x442)+~P3(x441)+~P3(x442)+~P5(a3,x442,x441)
% 61.68/61.74  [45]~P11(x451)+~P11(x452)+~P3(x451)+~P3(x452)+~P5(a9,x452,x451)
% 61.68/61.74  %EqnAxiom
% 61.68/61.74  
% 61.68/61.74  %-------------------------------------------
% 61.90/61.95  cnf(53,plain,
% 61.90/61.95     (~P4(a5)),
% 61.90/61.95     inference(scs_inference,[],[1,2,3,4,23,24,25,26])).
% 61.90/61.95  cnf(55,plain,
% 61.90/61.95     (~P4(a2)),
% 61.90/61.95     inference(scs_inference,[],[1,2,3,4,5,23,24,25,26,27])).
% 61.90/61.95  cnf(59,plain,
% 61.90/61.95     (~P4(a7)),
% 61.90/61.95     inference(scs_inference,[],[1,2,3,4,5,6,7,23,24,25,26,27,28,29])).
% 61.90/61.95  cnf(61,plain,
% 61.90/61.95     (~P11(a7)),
% 61.90/61.95     inference(scs_inference,[],[1,2,3,4,5,6,7,23,24,25,26,27,28,29,30])).
% 61.90/61.95  cnf(1703,plain,
% 61.90/61.95     (P3(a5)),
% 61.90/61.95     inference(scs_inference,[],[4,16,20])).
% 61.90/61.95  cnf(1884,plain,
% 61.90/61.95     (P1(f10(f10(a8)))),
% 61.90/61.95     inference(scs_inference,[],[3,31,32])).
% 61.90/61.95  cnf(1885,plain,
% 61.90/61.95     (~P11(f10(f10(a8)))),
% 61.90/61.95     inference(scs_inference,[],[1884,23])).
% 61.90/61.95  cnf(1911,plain,
% 61.90/61.95     (~P2(f10(a8))),
% 61.90/61.95     inference(scs_inference,[],[1885,53,22,20,17,18,19,21,34])).
% 61.90/61.95  cnf(1913,plain,
% 61.90/61.95     (~P8(f10(a8))),
% 61.90/61.95     inference(scs_inference,[],[1885,53,22,20,17,18,19,21,34,35])).
% 61.90/61.95  cnf(1915,plain,
% 61.90/61.95     (~P9(f10(a8))),
% 61.90/61.95     inference(scs_inference,[],[1885,53,22,20,17,18,19,21,34,35,36])).
% 61.90/61.95  cnf(2153,plain,
% 61.90/61.95     (P10(f10(f10(a2)))),
% 61.90/61.95     inference(scs_inference,[],[5,33,34])).
% 61.90/61.95  cnf(2154,plain,
% 61.90/61.95     (~P11(f10(f10(a2)))),
% 61.90/61.95     inference(scs_inference,[],[2153,25])).
% 61.90/61.95  cnf(2184,plain,
% 61.90/61.95     (~P2(f10(f10(a2)))),
% 61.90/61.95     inference(scs_inference,[],[2154,1911,1913,1915,59,35,36,37,19,22,21])).
% 61.90/61.95  cnf(2192,plain,
% 61.90/61.95     (~P2(f10(a2))),
% 61.90/61.95     inference(scs_inference,[],[2154,1911,1913,1915,59,35,36,37,19,22,21,18,20,17,34])).
% 61.90/61.95  cnf(2194,plain,
% 61.90/61.95     (~P8(f10(a2))),
% 61.90/61.95     inference(scs_inference,[],[2184,35])).
% 61.90/61.95  cnf(8113,plain,
% 61.90/61.95     (P3(f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[2,8,31])).
% 61.90/61.95  cnf(14325,plain,
% 61.90/61.95     (P3(f10(a5))),
% 61.90/61.95     inference(scs_inference,[],[4,10,33])).
% 61.90/61.95  cnf(18324,plain,
% 61.90/61.95     (P3(f10(a7))),
% 61.90/61.95     inference(scs_inference,[],[7,13,36])).
% 61.90/61.95  cnf(22296,plain,
% 61.90/61.95     (P11(f10(a4))+~P4(f10(f10(a8)))+~P5(a9,f10(f10(a8)),f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[8113,1885,15,43])).
% 61.90/61.95  cnf(22567,plain,
% 61.90/61.95     (P11(f10(a4))+~P5(a9,f10(f10(a8)),f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[1884,22296,17])).
% 61.90/61.95  cnf(22838,plain,
% 61.90/61.95     (~P1(f10(a4))+~P5(a9,f10(f10(a8)),f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[22567,23])).
% 61.90/61.95  cnf(23109,plain,
% 61.90/61.95     (~P5(a9,f10(f10(a8)),f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[2,22838,31])).
% 61.90/61.95  cnf(23128,plain,
% 61.90/61.95     (~P11(f10(a4))+~P3(f10(f10(a8)))),
% 61.90/61.95     inference(scs_inference,[],[55,8113,23109,1885,2192,2194,1915,61,20,17,35,36,19,37,18,22,21,41])).
% 61.90/61.95  cnf(23396,plain,
% 61.90/61.95     (~P11(f10(a4))),
% 61.90/61.95     inference(scs_inference,[],[1884,23128,8])).
% 61.90/61.95  cnf(29108,plain,
% 61.90/61.95     (~P11(x291081)+~P5(a3,x291081,f10(x291081))+~P5(a9,x291081,f10(x291081))),
% 61.90/61.95     inference(scs_inference,[],[16,46])).
% 61.90/61.95  cnf(299370,plain,
% 61.90/61.95     (P10(f10(a5))),
% 61.90/61.95     inference(scs_inference,[],[4,7,3,14,32,33])).
% 61.90/61.95  cnf(299372,plain,
% 61.90/61.95     (P8(f10(a7))),
% 61.90/61.95     inference(scs_inference,[],[4,7,3,14,32,33,36])).
% 61.90/61.95  cnf(299374,plain,
% 61.90/61.95     (P2(f10(a6))),
% 61.90/61.95     inference(scs_inference,[],[4,6,7,3,14,32,33,36,35])).
% 61.90/61.95  cnf(299378,plain,
% 61.90/61.95     (P11(a2)),
% 61.90/61.95     inference(scs_inference,[],[4,6,7,3,5,2,14,32,33,36,35,31,21])).
% 61.90/61.95  cnf(299380,plain,
% 61.90/61.95     (P4(a8)),
% 61.90/61.95     inference(scs_inference,[],[4,6,7,3,5,2,14,32,33,36,35,31,21,19])).
% 61.90/61.95  cnf(299384,plain,
% 61.90/61.95     (P11(a5)),
% 61.90/61.95     inference(scs_inference,[],[1,4,6,7,3,5,2,14,32,33,36,35,31,21,19,37,20])).
% 61.90/61.95  cnf(299386,plain,
% 61.90/61.95     (P7(f10(a2))),
% 61.90/61.95     inference(scs_inference,[],[1,4,6,7,3,5,2,14,32,33,36,35,31,21,19,37,20,34])).
% 61.90/61.95  cnf(299388,plain,
% 61.90/61.95     (P4(a4)),
% 61.90/61.95     inference(scs_inference,[],[1,4,6,7,3,5,2,14,32,33,36,35,31,21,19,37,20,34,18])).
% 61.90/61.95  cnf(299390,plain,
% 61.90/61.95     (P4(a1)),
% 61.90/61.95     inference(scs_inference,[],[1,4,6,7,3,5,2,14,32,33,36,35,31,21,19,37,20,34,18,17])).
% 61.90/61.95  cnf(299452,plain,
% 61.90/61.95     (P4(f10(a5))),
% 61.90/61.95     inference(scs_inference,[],[299378,299380,299370,299374,299386,30,28,27,24,29,23,26,25,20,21,19])).
% 61.90/61.95  cnf(299454,plain,
% 61.90/61.95     (P11(f10(a7))),
% 61.90/61.95     inference(scs_inference,[],[299378,299380,299370,299372,299374,299386,30,28,27,24,29,23,26,25,20,21,19,22])).
% 61.90/61.95  cnf(299699,plain,
% 61.90/61.95     (~P5(a9,a5,f10(a5))),
% 61.90/61.95     inference(scs_inference,[],[18324,14325,299452,299454,299384,299388,23396,8113,53,1703,30,28,27,23,29,24,26,25,39,41,29108])).
% 61.90/61.95  cnf(303210,plain,
% 61.90/61.95     (~P11(f10(a5))),
% 61.90/61.95     inference(scs_inference,[],[299370,299390,299384,27,28,24,26,25])).
% 61.90/61.95  cnf(303401,plain,
% 61.90/61.95     ($false),
% 61.90/61.95     inference(scs_inference,[],[299699,303210,1703,14325,299384,299388,27,28,26,29,40]),
% 61.90/61.95     ['proof']).
% 62.05/62.16  % SZS output end Proof
% 62.05/62.16  % Total time :61.090000s
%------------------------------------------------------------------------------