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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NUM388+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n028.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 12:24:05 EDT 2024

% Result   : Theorem 58.63s 58.70s
% Output   : CNFRefutation 58.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM388+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n028.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   : Sun Jun 23 02:06:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.49/0.57  start to proof:theBenchmark
% 58.63/58.68  %-------------------------------------------
% 58.63/58.68  % File        :CSE---1.7
% 58.63/58.68  % Problem     :theBenchmark
% 58.63/58.68  % Transform   :cnf
% 58.63/58.68  % Format      :tptp:raw
% 58.63/58.68  % Command     :java -jar mcs_scs.jar %d %s
% 58.63/58.68  
% 58.63/58.68  % Result      :Theorem 58.050000s
% 58.63/58.68  % Output      :CNFRefutation 58.050000s
% 58.63/58.68  %-------------------------------------------
% 58.63/58.69  %------------------------------------------------------------------------------
% 58.63/58.69  % File     : NUM388+1 : TPTP v8.2.0. Released v3.2.0.
% 58.63/58.69  % Domain   : Number Theory (Ordinals)
% 58.63/58.69  % Problem  : Ordinal numbers, theorem 19
% 58.63/58.69  % Version  : [Urb06] axioms : Especial.
% 58.63/58.69  % English  :
% 58.63/58.69  
% 58.63/58.69  % Refs     : [Ban90] Bancerek (1990), The Ordinal Numbers
% 58.63/58.69  %            [Urb06] Urban (2006), Email to G. Sutcliffe
% 58.63/58.69  % Source   : [Urb06]
% 58.63/58.69  % Names    : ordinal1__t19_ordinal1 [Urb06]
% 58.63/58.69  
% 58.63/58.69  % Status   : Theorem
% 58.63/58.69  % Rating   : 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0
% 58.63/58.69  % Syntax   : Number of formulae    :   32 (   5 unt;   0 def)
% 58.63/58.69  %            Number of atoms       :   80 (   2 equ)
% 58.63/58.69  %            Maximal formula atoms :    6 (   2 avg)
% 58.63/58.69  %            Number of connectives :   55 (   7   ~;   1   |;  30   &)
% 58.63/58.69  %                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
% 58.63/58.69  %            Maximal formula depth :    9 (   4 avg)
% 58.63/58.69  %            Maximal term depth    :    2 (   1 avg)
% 58.63/58.69  %            Number of predicates  :   13 (  12 usr;   0 prp; 1-2 aty)
% 58.63/58.69  %            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
% 58.63/58.69  %            Number of variables   :   44 (  32   !;  12   ?)
% 58.63/58.69  % SPC      : FOF_THM_RFO_SEQ
% 58.63/58.69  
% 58.63/58.69  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 58.63/58.69  %            library, www.mizar.org
% 58.63/58.69  %------------------------------------------------------------------------------
% 58.63/58.69  fof(antisymmetry_r2_hidden,axiom,
% 58.63/58.69      ! [A,B] :
% 58.63/58.69        ( in(A,B)
% 58.63/58.69       => ~ in(B,A) ) ).
% 58.63/58.69  
% 58.63/58.69  fof(cc1_funct_1,axiom,
% 58.63/58.69      ! [A] :
% 58.63/58.69        ( empty(A)
% 58.63/58.69       => function(A) ) ).
% 58.63/58.69  
% 58.63/58.69  fof(cc1_ordinal1,axiom,
% 58.63/58.69      ! [A] :
% 58.63/58.69        ( ordinal(A)
% 58.63/58.70       => ( epsilon_transitive(A)
% 58.63/58.70          & epsilon_connected(A) ) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(cc1_relat_1,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( empty(A)
% 58.63/58.70       => relation(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(cc2_funct_1,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( ( relation(A)
% 58.63/58.70          & empty(A)
% 58.63/58.70          & function(A) )
% 58.63/58.70       => ( relation(A)
% 58.63/58.70          & function(A)
% 58.63/58.70          & one_to_one(A) ) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(cc2_ordinal1,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( ( epsilon_transitive(A)
% 58.63/58.70          & epsilon_connected(A) )
% 58.63/58.70       => ordinal(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(d2_ordinal1,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( epsilon_transitive(A)
% 58.63/58.70      <=> ! [B] :
% 58.63/58.70            ( in(B,A)
% 58.63/58.70           => subset(B,A) ) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(existence_m1_subset_1,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70      ? [B] : element(B,A) ).
% 58.63/58.70  
% 58.63/58.70  fof(fc12_relat_1,axiom,
% 58.63/58.70      ( empty(empty_set)
% 58.63/58.70      & relation(empty_set)
% 58.63/58.70      & relation_empty_yielding(empty_set) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(fc1_xboole_0,axiom,
% 58.63/58.70      empty(empty_set) ).
% 58.63/58.70  
% 58.63/58.70  fof(fc4_relat_1,axiom,
% 58.63/58.70      ( empty(empty_set)
% 58.63/58.70      & relation(empty_set) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc1_funct_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & function(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc1_ordinal1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( epsilon_transitive(A)
% 58.63/58.70        & epsilon_connected(A)
% 58.63/58.70        & ordinal(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc1_relat_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( empty(A)
% 58.63/58.70        & relation(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc1_xboole_0,axiom,
% 58.63/58.70      ? [A] : empty(A) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc2_funct_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & empty(A)
% 58.63/58.70        & function(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc2_relat_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( ~ empty(A)
% 58.63/58.70        & relation(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc2_xboole_0,axiom,
% 58.63/58.70      ? [A] : ~ empty(A) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc3_funct_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & function(A)
% 58.63/58.70        & one_to_one(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc3_relat_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & relation_empty_yielding(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc4_funct_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & relation_empty_yielding(A)
% 58.63/58.70        & function(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(rc5_funct_1,axiom,
% 58.63/58.70      ? [A] :
% 58.63/58.70        ( relation(A)
% 58.63/58.70        & relation_non_empty(A)
% 58.63/58.70        & function(A) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(reflexivity_r1_tarski,axiom,
% 58.63/58.70      ! [A,B] : subset(A,A) ).
% 58.63/58.70  
% 58.63/58.70  fof(t19_ordinal1,conjecture,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( ordinal(A)
% 58.63/58.70       => ! [B] :
% 58.63/58.70            ( ordinal(B)
% 58.63/58.70           => ! [C] :
% 58.63/58.70                ( epsilon_transitive(C)
% 58.63/58.70               => ( ( in(C,A)
% 58.63/58.70                    & in(A,B) )
% 58.63/58.70                 => in(C,B) ) ) ) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t1_subset,axiom,
% 58.63/58.70      ! [A,B] :
% 58.63/58.70        ( in(A,B)
% 58.63/58.70       => element(A,B) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t2_subset,axiom,
% 58.63/58.70      ! [A,B] :
% 58.63/58.70        ( element(A,B)
% 58.63/58.70       => ( empty(B)
% 58.63/58.70          | in(A,B) ) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t3_subset,axiom,
% 58.63/58.70      ! [A,B] :
% 58.63/58.70        ( element(A,powerset(B))
% 58.63/58.70      <=> subset(A,B) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t4_subset,axiom,
% 58.63/58.70      ! [A,B,C] :
% 58.63/58.70        ( ( in(A,B)
% 58.63/58.70          & element(B,powerset(C)) )
% 58.63/58.70       => element(A,C) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t5_subset,axiom,
% 58.63/58.70      ! [A,B,C] :
% 58.63/58.70        ~ ( in(A,B)
% 58.63/58.70          & element(B,powerset(C))
% 58.63/58.70          & empty(C) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t6_boole,axiom,
% 58.63/58.70      ! [A] :
% 58.63/58.70        ( empty(A)
% 58.63/58.70       => A = empty_set ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t7_boole,axiom,
% 58.63/58.70      ! [A,B] :
% 58.63/58.70        ~ ( in(A,B)
% 58.63/58.70          & empty(B) ) ).
% 58.63/58.70  
% 58.63/58.70  fof(t8_boole,axiom,
% 58.63/58.70      ! [A,B] :
% 58.63/58.70        ~ ( empty(A)
% 58.63/58.70          & A != B
% 58.63/58.70          & empty(B) ) ).
% 58.63/58.70  
% 58.63/58.70  %------------------------------------------------------------------------------
% 58.63/58.70  %-------------------------------------------
% 58.63/58.70  % Proof found
% 58.63/58.70  % SZS status Theorem for theBenchmark
% 58.63/58.70  % SZS output start Proof
% 58.63/58.70  %ClaNum:79(EqnAxiom:21)
% 58.63/58.70  %VarNum:71(SingletonVarNum:33)
% 58.63/58.70  %MaxLitNum:4
% 58.63/58.70  %MaxfuncDepth:1
% 58.63/58.70  %SharedTerms:49
% 58.63/58.70  %goalClause: 34 35 37 54 55 60
% 58.63/58.70  %singleGoalClaCount:6
% 58.63/58.70  [24]P1(a1)
% 58.63/58.70  [25]P1(a2)
% 58.63/58.70  [26]P1(a14)
% 58.63/58.70  [27]P1(a15)
% 58.63/58.70  [28]P3(a3)
% 58.63/58.70  [29]P3(a15)
% 58.63/58.70  [30]P3(a4)
% 58.63/58.70  [31]P3(a5)
% 58.63/58.70  [32]P3(a7)
% 58.63/58.70  [33]P6(a13)
% 58.63/58.70  [34]P6(a8)
% 58.63/58.70  [35]P6(a9)
% 58.63/58.70  [36]P4(a13)
% 58.63/58.70  [37]P4(a10)
% 58.63/58.70  [38]P5(a13)
% 58.63/58.70  [40]P9(a1)
% 58.63/58.70  [41]P9(a3)
% 58.63/58.70  [42]P9(a2)
% 58.63/58.70  [43]P9(a15)
% 58.63/58.70  [44]P9(a16)
% 58.63/58.70  [45]P9(a4)
% 58.63/58.70  [46]P9(a6)
% 58.63/58.70  [47]P9(a5)
% 58.63/58.70  [48]P9(a7)
% 58.63/58.70  [49]P7(a4)
% 58.63/58.70  [50]P10(a1)
% 58.63/58.70  [51]P10(a6)
% 58.63/58.70  [52]P10(a5)
% 58.63/58.70  [53]P11(a7)
% 58.63/58.70  [54]P8(a8,a9)
% 58.63/58.70  [55]P8(a10,a8)
% 58.63/58.70  [58]~P1(a16)
% 58.63/58.70  [59]~P1(a17)
% 58.63/58.70  [60]~P8(a10,a9)
% 58.63/58.70  [56]P12(x561,x561)
% 58.63/58.70  [57]P2(f11(x571),x571)
% 58.63/58.70  [61]~P1(x611)+E(x611,a1)
% 58.63/58.70  [62]~P1(x621)+P3(x621)
% 58.63/58.70  [63]~P6(x631)+P4(x631)
% 58.63/58.70  [64]~P6(x641)+P5(x641)
% 58.63/58.70  [65]~P1(x651)+P9(x651)
% 58.63/58.70  [68]P4(x681)+P8(f12(x681),x681)
% 58.63/58.70  [71]P4(x711)+~P12(f12(x711),x711)
% 58.63/58.70  [70]~P1(x701)+~P8(x702,x701)
% 58.63/58.70  [72]~P8(x721,x722)+P2(x721,x722)
% 58.63/58.70  [76]~P8(x762,x761)+~P8(x761,x762)
% 58.63/58.70  [74]~P12(x741,x742)+P2(x741,f18(x742))
% 58.63/58.70  [77]P12(x771,x772)+~P2(x771,f18(x772))
% 58.63/58.70  [67]~P4(x671)+~P5(x671)+P6(x671)
% 58.63/58.70  [66]~P1(x662)+~P1(x661)+E(x661,x662)
% 58.63/58.70  [73]~P2(x732,x731)+P1(x731)+P8(x732,x731)
% 58.63/58.70  [75]~P4(x752)+~P8(x751,x752)+P12(x751,x752)
% 58.63/58.70  [78]~P1(x781)+~P8(x782,x783)+~P2(x783,f18(x781))
% 58.63/58.70  [79]P2(x791,x792)+~P8(x791,x793)+~P2(x793,f18(x792))
% 58.63/58.70  [69]~P1(x691)+~P3(x691)+~P9(x691)+P7(x691)
% 58.63/58.70  %EqnAxiom
% 58.63/58.70  [1]E(x11,x11)
% 58.63/58.71  [2]E(x22,x21)+~E(x21,x22)
% 58.63/58.71  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.63/58.71  [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 58.63/58.71  [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 58.63/58.71  [6]~E(x61,x62)+E(f18(x61),f18(x62))
% 58.63/58.71  [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 58.63/58.71  [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 58.63/58.71  [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 58.63/58.71  [10]P8(x102,x103)+~E(x101,x102)+~P8(x101,x103)
% 58.63/58.71  [11]P8(x113,x112)+~E(x111,x112)+~P8(x113,x111)
% 58.63/58.71  [12]~P9(x121)+P9(x122)+~E(x121,x122)
% 58.63/58.71  [13]~P3(x131)+P3(x132)+~E(x131,x132)
% 58.63/58.71  [14]P12(x142,x143)+~E(x141,x142)+~P12(x141,x143)
% 58.63/58.71  [15]P12(x153,x152)+~E(x151,x152)+~P12(x153,x151)
% 58.63/58.71  [16]~P11(x161)+P11(x162)+~E(x161,x162)
% 58.63/58.71  [17]~P4(x171)+P4(x172)+~E(x171,x172)
% 58.63/58.71  [18]~P10(x181)+P10(x182)+~E(x181,x182)
% 58.63/58.71  [19]~P6(x191)+P6(x192)+~E(x191,x192)
% 58.63/58.71  [20]~P7(x201)+P7(x202)+~E(x201,x202)
% 58.63/58.71  [21]~P5(x211)+P5(x212)+~E(x211,x212)
% 58.63/58.71  
% 58.63/58.71  %-------------------------------------------
% 58.63/58.71  cnf(80,plain,
% 58.63/58.71     (~P8(x801,a1)),
% 58.63/58.71     inference(scs_inference,[],[24,70])).
% 58.63/58.71  cnf(82,plain,
% 58.63/58.71     (~P8(a9,a8)),
% 58.63/58.71     inference(scs_inference,[],[54,24,70,76])).
% 58.63/58.71  cnf(86,plain,
% 58.63/58.71     (P12(f11(f18(x861)),x861)),
% 58.63/58.71     inference(scs_inference,[],[54,57,24,70,76,68,77])).
% 58.63/58.71  cnf(87,plain,
% 58.63/58.71     (P2(f11(x871),x871)),
% 58.63/58.71     inference(rename_variables,[],[57])).
% 58.63/58.71  cnf(89,plain,
% 58.63/58.71     (P8(f11(a16),a16)),
% 58.63/58.71     inference(scs_inference,[],[54,57,87,24,58,70,76,68,77,73])).
% 58.63/58.71  cnf(90,plain,
% 58.63/58.71     (P2(f11(x901),x901)),
% 58.63/58.71     inference(rename_variables,[],[57])).
% 58.63/58.71  cnf(93,plain,
% 58.63/58.71     (P2(f11(x931),x931)),
% 58.63/58.71     inference(rename_variables,[],[57])).
% 58.63/58.71  cnf(96,plain,
% 58.63/58.71     (~E(a9,f11(f18(a1)))),
% 58.63/58.71     inference(scs_inference,[],[54,60,57,87,90,24,58,70,76,68,77,73,78,10,11])).
% 58.63/58.71  cnf(100,plain,
% 58.63/58.71     (P2(f11(x1001),x1001)),
% 58.63/58.71     inference(rename_variables,[],[57])).
% 58.63/58.71  cnf(104,plain,
% 58.63/58.71     (P2(x1041,x1042)+~E(f11(x1042),x1041)),
% 58.63/58.71     inference(scs_inference,[],[54,60,57,87,90,93,100,24,27,58,29,43,70,76,68,77,73,78,10,11,69,79,66,8])).
% 58.63/58.71  cnf(106,plain,
% 58.63/58.71     (P12(x1061,x1062)+~E(x1062,x1061)),
% 58.63/58.71     inference(scs_inference,[],[54,60,57,87,90,93,100,24,27,58,56,29,43,70,76,68,77,73,78,10,11,69,79,66,8,9,14])).
% 58.63/58.71  cnf(117,plain,
% 58.63/58.71     (P2(f11(x1171),x1171)),
% 58.63/58.71     inference(rename_variables,[],[57])).
% 58.63/58.71  cnf(119,plain,
% 58.63/58.71     (~P8(x1191,f11(f18(a2)))),
% 58.63/58.71     inference(scs_inference,[],[55,25,59,57,117,70,76,73,78])).
% 58.63/58.71  cnf(129,plain,
% 58.63/58.71     (P12(f11(f18(x1291)),x1292)+~E(x1291,x1292)),
% 58.63/58.71     inference(scs_inference,[],[55,60,96,82,86,25,59,57,117,70,76,73,78,11,10,68,66,14,15])).
% 58.63/58.71  cnf(182,plain,
% 58.63/58.71     (~P1(a9)),
% 58.63/58.71     inference(scs_inference,[],[54,80,11,61])).
% 58.63/58.71  cnf(184,plain,
% 58.63/58.71     (~P2(a10,a9)),
% 58.63/58.71     inference(scs_inference,[],[54,60,80,11,61,73])).
% 58.63/58.71  cnf(232,plain,
% 58.63/58.71     (P12(a8,a9)),
% 58.63/58.71     inference(scs_inference,[],[35,54,63,75])).
% 58.63/58.71  cnf(263,plain,
% 58.63/58.71     (~E(x2631,x2632)+P2(x2632,f18(x2631))),
% 58.63/58.71     inference(scs_inference,[],[74,106])).
% 58.63/58.71  cnf(264,plain,
% 58.63/58.71     (P2(x2641,f18(x2641))),
% 58.63/58.71     inference(equality_inference,[],[263])).
% 58.63/58.71  cnf(426,plain,
% 58.63/58.71     (~E(a16,f11(f18(a2)))),
% 58.63/58.71     inference(scs_inference,[],[119,89,11])).
% 58.63/58.71  cnf(671,plain,
% 58.63/58.71     (P12(a10,a8)),
% 58.63/58.71     inference(scs_inference,[],[34,55,63,75])).
% 58.63/58.71  cnf(3219,plain,
% 58.63/58.71     (E(a1,a2)),
% 58.63/58.71     inference(scs_inference,[],[25,61,2])).
% 58.63/58.71  cnf(3222,plain,
% 58.63/58.71     (E(a2,a1)),
% 58.63/58.71     inference(scs_inference,[],[3219,129,106,2])).
% 58.63/58.71  cnf(4131,plain,
% 58.63/58.71     (P2(a8,a9)),
% 58.63/58.71     inference(scs_inference,[],[54,72])).
% 58.63/58.71  cnf(4146,plain,
% 58.63/58.71     (P2(a8,x41461)+~E(a9,x41461)),
% 58.63/58.71     inference(scs_inference,[],[426,4131,2,9])).
% 58.63/58.71  cnf(4993,plain,
% 58.63/58.71     (E(a15,a1)),
% 58.63/58.71     inference(scs_inference,[],[671,27,3222,5,74,61])).
% 58.63/58.71  cnf(5004,plain,
% 58.63/58.71     (~P2(a8,f18(a9))),
% 58.63/58.71     inference(scs_inference,[],[182,671,27,3222,26,184,55,57,5,74,61,106,65,4,6,2,73,79])).
% 58.63/58.71  cnf(5021,plain,
% 58.63/58.71     (P12(x50211,x50211)),
% 58.63/58.71     inference(rename_variables,[],[56])).
% 58.63/58.71  cnf(5024,plain,
% 58.63/58.71     (E(a15,a2)),
% 58.63/58.71     inference(scs_inference,[],[182,56,5021,671,264,89,24,27,3222,26,184,55,57,3219,5,74,61,106,65,4,6,2,73,79,78,9,263,4146,72,104,76,75,15,14,3])).
% 58.63/58.71  cnf(5031,plain,
% 58.63/58.71     ($false),
% 58.63/58.71     inference(scs_inference,[],[4993,5024,5004,232,5,263,74]),
% 58.63/58.71     ['proof']).
% 58.63/58.71  % SZS output end Proof
% 58.63/58.71  % Total time :58.050000s
%------------------------------------------------------------------------------