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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU174+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 15:01:33 EDT 2024

% Result   : Theorem 58.65s 58.70s
% Output   : CNFRefutation 58.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU174+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Jun 21 12:15:24 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 58.65/58.68  %-------------------------------------------
% 58.65/58.68  % File        :CSE---1.7
% 58.65/58.68  % Problem     :theBenchmark
% 58.65/58.68  % Transform   :cnf
% 58.65/58.68  % Format      :tptp:raw
% 58.65/58.68  % Command     :java -jar mcs_scs.jar %d %s
% 58.65/58.68  
% 58.65/58.68  % Result      :Theorem 58.090000s
% 58.65/58.68  % Output      :CNFRefutation 58.090000s
% 58.65/58.68  %-------------------------------------------
% 58.65/58.69  %------------------------------------------------------------------------------
% 58.65/58.69  % File     : SEU174+1 : TPTP v8.2.0. Released v3.3.0.
% 58.65/58.69  % Domain   : Set theory
% 58.65/58.69  % Problem  : MPTP bushy problem t46_setfam_1
% 58.65/58.69  % Version  : [Urb07] axioms : Especial.
% 58.65/58.69  % English  :
% 58.65/58.69  
% 58.65/58.69  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 58.65/58.69  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 58.65/58.69  % Source   : [Urb07]
% 58.65/58.69  % Names    : bushy-t46_setfam_1 [Urb07]
% 58.65/58.69  
% 58.65/58.69  % Status   : Theorem
% 58.65/58.69  % Rating   : 0.25 v8.2.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0
% 58.65/58.69  % Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
% 58.65/58.69  %            Number of atoms       :   56 (   7 equ)
% 58.65/58.69  %            Maximal formula atoms :    6 (   2 avg)
% 58.65/58.69  %            Number of connectives :   40 (  11   ~;   1   |;   9   &)
% 58.65/58.69  %                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
% 58.65/58.69  %            Maximal formula depth :   10 (   4 avg)
% 58.65/58.69  %            Maximal term depth    :    3 (   1 avg)
% 58.65/58.69  %            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
% 58.65/58.69  %            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
% 58.65/58.69  %            Number of variables   :   47 (  42   !;   5   ?)
% 58.65/58.69  % SPC      : FOF_THM_RFO_SEQ
% 58.65/58.69  
% 58.65/58.69  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 58.65/58.69  %            library, www.mizar.org
% 58.65/58.69  %------------------------------------------------------------------------------
% 58.65/58.69  fof(antisymmetry_r2_hidden,axiom,
% 58.65/58.69      ! [A,B] :
% 58.65/58.69        ( in(A,B)
% 58.65/58.69       => ~ in(B,A) ) ).
% 58.65/58.69  
% 58.65/58.69  fof(d3_tarski,axiom,
% 58.65/58.69      ! [A,B] :
% 58.65/58.69        ( subset(A,B)
% 58.65/58.69      <=> ! [C] :
% 58.65/58.69            ( in(C,A)
% 58.65/58.69           => in(C,B) ) ) ).
% 58.65/58.69  
% 58.65/58.69  fof(d8_setfam_1,axiom,
% 58.65/58.69      ! [A,B] :
% 58.65/58.69        ( element(B,powerset(powerset(A)))
% 58.65/58.69       => ! [C] :
% 58.65/58.69            ( element(C,powerset(powerset(A)))
% 58.65/58.69           => ( C = complements_of_subsets(A,B)
% 58.65/58.69            <=> ! [D] :
% 58.65/58.69                  ( element(D,powerset(A))
% 58.65/58.69                 => ( in(D,C)
% 58.65/58.69                  <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 58.65/58.69  
% 58.65/58.69  fof(dt_k1_xboole_0,axiom,
% 58.65/58.69      $true ).
% 58.65/58.69  
% 58.65/58.69  fof(dt_k1_zfmisc_1,axiom,
% 58.65/58.69      $true ).
% 58.65/58.70  
% 58.65/58.70  fof(dt_k3_subset_1,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(B,powerset(A))
% 58.65/58.70       => element(subset_complement(A,B),powerset(A)) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(dt_k7_setfam_1,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(B,powerset(powerset(A)))
% 58.65/58.70       => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(dt_m1_subset_1,axiom,
% 58.65/58.70      $true ).
% 58.65/58.70  
% 58.65/58.70  fof(existence_m1_subset_1,axiom,
% 58.65/58.70      ! [A] :
% 58.65/58.70      ? [B] : element(B,A) ).
% 58.65/58.70  
% 58.65/58.70  fof(fc1_subset_1,axiom,
% 58.65/58.70      ! [A] : ~ empty(powerset(A)) ).
% 58.65/58.70  
% 58.65/58.70  fof(fc1_xboole_0,axiom,
% 58.65/58.70      empty(empty_set) ).
% 58.65/58.70  
% 58.65/58.70  fof(involutiveness_k3_subset_1,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(B,powerset(A))
% 58.65/58.70       => subset_complement(A,subset_complement(A,B)) = B ) ).
% 58.65/58.70  
% 58.65/58.70  fof(involutiveness_k7_setfam_1,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(B,powerset(powerset(A)))
% 58.65/58.70       => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 58.65/58.70  
% 58.65/58.70  fof(rc1_subset_1,axiom,
% 58.65/58.70      ! [A] :
% 58.65/58.70        ( ~ empty(A)
% 58.65/58.70       => ? [B] :
% 58.65/58.70            ( element(B,powerset(A))
% 58.65/58.70            & ~ empty(B) ) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(rc1_xboole_0,axiom,
% 58.65/58.70      ? [A] : empty(A) ).
% 58.65/58.70  
% 58.65/58.70  fof(rc2_subset_1,axiom,
% 58.65/58.70      ! [A] :
% 58.65/58.70      ? [B] :
% 58.65/58.70        ( element(B,powerset(A))
% 58.65/58.70        & empty(B) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(rc2_xboole_0,axiom,
% 58.65/58.70      ? [A] : ~ empty(A) ).
% 58.65/58.70  
% 58.65/58.70  fof(reflexivity_r1_tarski,axiom,
% 58.65/58.70      ! [A,B] : subset(A,A) ).
% 58.65/58.70  
% 58.65/58.70  fof(t1_subset,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( in(A,B)
% 58.65/58.70       => element(A,B) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t2_subset,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(A,B)
% 58.65/58.70       => ( empty(B)
% 58.65/58.70          | in(A,B) ) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t3_subset,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(A,powerset(B))
% 58.65/58.70      <=> subset(A,B) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t46_setfam_1,conjecture,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ( element(B,powerset(powerset(A)))
% 58.65/58.70       => ~ ( B != empty_set
% 58.65/58.70            & complements_of_subsets(A,B) = empty_set ) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t4_subset,axiom,
% 58.65/58.70      ! [A,B,C] :
% 58.65/58.70        ( ( in(A,B)
% 58.65/58.70          & element(B,powerset(C)) )
% 58.65/58.70       => element(A,C) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t5_subset,axiom,
% 58.65/58.70      ! [A,B,C] :
% 58.65/58.70        ~ ( in(A,B)
% 58.65/58.70          & element(B,powerset(C))
% 58.65/58.70          & empty(C) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t6_boole,axiom,
% 58.65/58.70      ! [A] :
% 58.65/58.70        ( empty(A)
% 58.65/58.70       => A = empty_set ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t7_boole,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ~ ( in(A,B)
% 58.65/58.70          & empty(B) ) ).
% 58.65/58.70  
% 58.65/58.70  fof(t8_boole,axiom,
% 58.65/58.70      ! [A,B] :
% 58.65/58.70        ~ ( empty(A)
% 58.65/58.70          & A != B
% 58.65/58.70          & empty(B) ) ).
% 58.65/58.70  
% 58.65/58.70  %------------------------------------------------------------------------------
% 58.65/58.70  %-------------------------------------------
% 58.65/58.70  % Proof found
% 58.65/58.70  % SZS status Theorem for theBenchmark
% 58.65/58.70  % SZS output start Proof
% 58.65/58.70  %ClaNum:58(EqnAxiom:23)
% 58.65/58.70  %VarNum:163(SingletonVarNum:60)
% 58.65/58.70  %MaxLitNum:6
% 58.65/58.70  %MaxfuncDepth:2
% 58.65/58.70  %SharedTerms:14
% 58.65/58.70  %goalClause: 27 30 32
% 58.65/58.70  %singleGoalClaCount:3
% 58.65/58.70  [24]P1(a1)
% 58.65/58.70  [25]P1(a3)
% 58.65/58.70  [32]~E(a1,a11)
% 58.65/58.70  [33]~P1(a10)
% 58.65/58.70  [27]E(f2(a9,a11),a1)
% 58.65/58.70  [30]P2(a11,f12(f12(a9)))
% 58.65/58.70  [28]P3(x281,x281)
% 58.65/58.70  [26]P1(f8(x261))
% 58.65/58.70  [29]P2(f4(x291),x291)
% 58.65/58.70  [31]P2(f8(x311),f12(x311))
% 58.65/58.70  [34]~P1(f12(x341))
% 58.65/58.70  [35]~P1(x351)+E(x351,a1)
% 58.65/58.70  [37]P1(x371)+~P1(f7(x371))
% 58.65/58.70  [39]P1(x391)+P2(f7(x391),f12(x391))
% 58.65/58.70  [38]~P1(x381)+~P4(x382,x381)
% 58.65/58.70  [40]~P4(x401,x402)+P2(x401,x402)
% 58.65/58.70  [43]~P4(x432,x431)+~P4(x431,x432)
% 58.65/58.70  [42]~P3(x421,x422)+P2(x421,f12(x422))
% 58.65/58.70  [44]P3(x441,x442)+~P2(x441,f12(x442))
% 58.65/58.70  [45]P3(x451,x452)+P4(f5(x451,x452),x451)
% 58.65/58.70  [50]P3(x501,x502)+~P4(f5(x501,x502),x502)
% 58.65/58.70  [51]~P2(x512,f12(x511))+P2(f13(x511,x512),f12(x511))
% 58.65/58.70  [49]~P2(x492,f12(x491))+E(f13(x491,f13(x491,x492)),x492)
% 58.65/58.70  [52]~P2(x522,f12(f12(x521)))+E(f2(x521,f2(x521,x522)),x522)
% 58.65/58.70  [53]~P2(x532,f12(f12(x531)))+P2(f2(x531,x532),f12(f12(x531)))
% 58.65/58.70  [36]~P1(x362)+~P1(x361)+E(x361,x362)
% 58.65/58.70  [41]~P2(x412,x411)+P1(x411)+P4(x412,x411)
% 58.65/58.70  [46]~P3(x463,x462)+P4(x461,x462)+~P4(x461,x463)
% 58.65/58.70  [47]~P1(x471)+~P4(x472,x473)+~P2(x473,f12(x471))
% 58.65/58.70  [48]P2(x481,x482)+~P4(x481,x483)+~P2(x483,f12(x482))
% 58.65/58.70  [56]P2(f6(x562,x563,x561),f12(x562))+E(x561,f2(x562,x563))+~P2(x561,f12(f12(x562)))+~P2(x563,f12(f12(x562)))
% 58.65/58.70  [57]P4(f6(x572,x573,x571),x571)+E(x571,f2(x572,x573))+P4(f13(x572,f6(x572,x573,x571)),x573)+~P2(x571,f12(f12(x572)))+~P2(x573,f12(f12(x572)))
% 58.65/58.70  [58]~P4(f6(x582,x583,x581),x581)+E(x581,f2(x582,x583))+~P2(x581,f12(f12(x582)))+~P2(x583,f12(f12(x582)))+~P4(f13(x582,f6(x582,x583,x581)),x583)
% 58.65/58.70  [54]~P4(x542,x544)+~P2(x542,f12(x541))+P4(f13(x541,x542),x543)+~E(x544,f2(x541,x543))+~P2(x543,f12(f12(x541)))+~P2(x544,f12(f12(x541)))
% 58.65/58.70  [55]P4(x551,x552)+~P2(x551,f12(x553))+~P4(f13(x553,x551),x554)+~E(x552,f2(x553,x554))+~P2(x552,f12(f12(x553)))+~P2(x554,f12(f12(x553)))
% 58.65/58.70  %EqnAxiom
% 58.65/58.70  [1]E(x11,x11)
% 58.65/58.70  [2]E(x22,x21)+~E(x21,x22)
% 58.65/58.70  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.65/58.70  [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 58.65/58.70  [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 58.65/58.70  [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 58.65/58.70  [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 58.65/58.70  [8]~E(x81,x82)+E(f12(x81),f12(x82))
% 58.65/58.70  [9]~E(x91,x92)+E(f13(x91,x93),f13(x92,x93))
% 58.65/58.70  [10]~E(x101,x102)+E(f13(x103,x101),f13(x103,x102))
% 58.65/58.70  [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 58.65/58.70  [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 58.65/58.70  [13]~E(x131,x132)+E(f6(x131,x133,x134),f6(x132,x133,x134))
% 58.65/58.70  [14]~E(x141,x142)+E(f6(x143,x141,x144),f6(x143,x142,x144))
% 58.65/58.70  [15]~E(x151,x152)+E(f6(x153,x154,x151),f6(x153,x154,x152))
% 58.65/58.70  [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 58.65/58.70  [17]~P1(x171)+P1(x172)+~E(x171,x172)
% 58.65/58.70  [18]P4(x182,x183)+~E(x181,x182)+~P4(x181,x183)
% 58.65/58.70  [19]P4(x193,x192)+~E(x191,x192)+~P4(x193,x191)
% 58.65/58.70  [20]P2(x202,x203)+~E(x201,x202)+~P2(x201,x203)
% 58.65/58.70  [21]P2(x213,x212)+~E(x211,x212)+~P2(x213,x211)
% 58.65/58.70  [22]P3(x222,x223)+~E(x221,x222)+~P3(x221,x223)
% 58.65/58.70  [23]P3(x233,x232)+~E(x231,x232)+~P3(x233,x231)
% 58.65/58.70  
% 58.65/58.70  %-------------------------------------------
% 58.65/58.72  cnf(61,plain,
% 58.65/58.72     (E(a1,f2(a9,a11))),
% 58.65/58.72     inference(scs_inference,[],[27,2])).
% 58.65/58.72  cnf(62,plain,
% 58.65/58.72     (~P4(x621,a1)),
% 58.65/58.72     inference(scs_inference,[],[27,24,2,38])).
% 58.65/58.72  cnf(68,plain,
% 58.65/58.72     (P1(f2(a9,a11))),
% 58.65/58.72     inference(scs_inference,[],[27,30,24,2,38,44,45,17])).
% 58.65/58.72  cnf(70,plain,
% 58.65/58.72     (P2(f4(x701),x701)),
% 58.65/58.72     inference(rename_variables,[],[29])).
% 58.65/58.72  cnf(71,plain,
% 58.65/58.72     (P3(f2(a9,a11),x711)),
% 58.65/58.72     inference(scs_inference,[],[27,30,29,24,2,38,44,45,17,21,22])).
% 58.65/58.72  cnf(72,plain,
% 58.65/58.72     (~P1(a11)),
% 58.65/58.72     inference(scs_inference,[],[27,32,30,29,24,2,38,44,45,17,21,22,36])).
% 58.65/58.72  cnf(74,plain,
% 58.65/58.72     (P4(f4(a10),a10)),
% 58.65/58.72     inference(scs_inference,[],[27,32,30,29,70,24,33,2,38,44,45,17,21,22,36,41])).
% 58.65/58.72  cnf(75,plain,
% 58.65/58.72     (P2(f4(x751),x751)),
% 58.65/58.72     inference(rename_variables,[],[29])).
% 58.65/58.72  cnf(77,plain,
% 58.65/58.72     (~P4(x771,f4(f12(a1)))),
% 58.65/58.72     inference(scs_inference,[],[27,32,30,29,70,75,24,33,2,38,44,45,17,21,22,36,41,47])).
% 58.65/58.72  cnf(89,plain,
% 58.65/58.72     (~P4(x891,f2(a9,a11))),
% 58.65/58.72     inference(scs_inference,[],[68,38])).
% 58.65/58.72  cnf(91,plain,
% 58.65/58.72     (P3(f4(f12(a1)),x911)),
% 58.65/58.72     inference(scs_inference,[],[68,77,38,45])).
% 58.65/58.72  cnf(92,plain,
% 58.65/58.72     (~P4(x921,f4(f12(a1)))),
% 58.65/58.72     inference(rename_variables,[],[77])).
% 58.65/58.72  cnf(96,plain,
% 58.65/58.72     (P4(f4(a11),a11)),
% 58.65/58.72     inference(scs_inference,[],[68,77,31,72,29,38,45,44,41])).
% 58.65/58.72  cnf(101,plain,
% 58.65/58.72     (~P4(x1011,f8(f2(a9,a11)))),
% 58.65/58.72     inference(scs_inference,[],[68,77,92,31,72,29,38,45,44,41,19,47])).
% 58.65/58.72  cnf(105,plain,
% 58.65/58.72     (~P4(a11,f4(a11))),
% 58.65/58.72     inference(scs_inference,[],[27,68,77,92,31,72,29,38,45,44,41,19,47,23,43])).
% 58.65/58.72  cnf(107,plain,
% 58.65/58.72     (P2(f4(a11),f12(a9))),
% 58.65/58.72     inference(scs_inference,[],[27,30,68,77,92,31,72,29,38,45,44,41,19,47,23,43,48])).
% 58.65/58.72  cnf(116,plain,
% 58.65/58.72     (~P4(x1161,f8(f2(a9,a11)))),
% 58.65/58.72     inference(rename_variables,[],[101])).
% 58.65/58.72  cnf(118,plain,
% 58.65/58.72     (~P4(x1181,a3)),
% 58.65/58.72     inference(scs_inference,[],[101,25,45,38])).
% 58.65/58.72  cnf(122,plain,
% 58.65/58.72     (P4(a11,f12(f12(a9)))),
% 58.65/58.72     inference(scs_inference,[],[30,101,107,25,34,45,38,44,41])).
% 58.65/58.72  cnf(127,plain,
% 58.65/58.72     (~P4(f12(f12(a9)),a11)),
% 58.65/58.72     inference(scs_inference,[],[30,74,101,116,107,25,34,45,38,44,41,19,43])).
% 58.65/58.72  cnf(136,plain,
% 58.65/58.72     (~P4(x1361,f8(x1362))),
% 58.65/58.72     inference(scs_inference,[],[26,38])).
% 58.65/58.72  cnf(138,plain,
% 58.65/58.72     (P3(a3,x1381)),
% 58.65/58.72     inference(scs_inference,[],[118,26,38,45])).
% 58.65/58.72  cnf(142,plain,
% 58.65/58.72     (P2(f4(x1421),x1421)),
% 58.65/58.72     inference(rename_variables,[],[29])).
% 58.65/58.72  cnf(144,plain,
% 58.65/58.72     (~P2(f12(f12(a9)),a11)),
% 58.65/58.72     inference(scs_inference,[],[29,118,127,26,72,38,45,44,41])).
% 58.65/58.72  cnf(151,plain,
% 58.65/58.72     (~E(a10,a1)),
% 58.65/58.72     inference(scs_inference,[],[61,74,29,142,89,118,127,26,72,38,45,44,41,48,19,3])).
% 58.65/58.72  cnf(164,plain,
% 58.65/58.72     (P3(f8(x1641),x1642)),
% 58.65/58.72     inference(scs_inference,[],[136,45])).
% 58.65/58.72  cnf(194,plain,
% 58.65/58.72     (E(a11,f2(a9,a11))+P4(f6(a9,a11,a11),a11)+P4(f13(a9,f6(a9,a11,a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[30,107,96,138,136,77,19,57])).
% 58.65/58.72  cnf(197,plain,
% 58.65/58.72     (~E(a11,f2(a9,a11))),
% 58.65/58.72     inference(scs_inference,[],[96,89,19])).
% 58.65/58.72  cnf(199,plain,
% 58.65/58.72     (P2(f6(a9,a11,a11),f12(a9))),
% 58.65/58.72     inference(scs_inference,[],[30,96,89,19,56])).
% 58.65/58.72  cnf(201,plain,
% 58.65/58.72     (P3(f6(a9,a11,a11),a9)),
% 58.65/58.72     inference(scs_inference,[],[30,96,89,19,56,44])).
% 58.65/58.72  cnf(208,plain,
% 58.65/58.72     (P4(f6(a9,a11,a11),a11)+P4(f13(a9,f6(a9,a11,a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[197,194])).
% 58.65/58.72  cnf(226,plain,
% 58.65/58.72     (P2(x2261,f12(x2262))+~E(f8(x2262),x2261)),
% 58.65/58.72     inference(scs_inference,[],[31,122,62,19,20])).
% 58.65/58.72  cnf(236,plain,
% 58.65/58.72     (P3(x2361,x2362)+~E(f8(x2363),x2361)),
% 58.65/58.72     inference(scs_inference,[],[122,164,136,201,19,23,22])).
% 58.65/58.72  cnf(262,plain,
% 58.65/58.72     (~P1(f7(a10))),
% 58.65/58.72     inference(scs_inference,[],[151,35,37])).
% 58.65/58.72  cnf(263,plain,
% 58.65/58.72     (P4(f4(f7(a10)),f7(a10))),
% 58.65/58.72     inference(scs_inference,[],[29,262,41])).
% 58.65/58.72  cnf(295,plain,
% 58.65/58.72     (~E(f8(f12(a9)),f2(a9,a11))+~P4(f13(a9,f4(a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[30,107,31,122,118,136,19,55])).
% 58.65/58.72  cnf(744,plain,
% 58.65/58.72     (P2(f7(a10),f12(a10))),
% 58.65/58.72     inference(scs_inference,[],[74,39,38])).
% 58.65/58.72  cnf(745,plain,
% 58.65/58.72     (P3(f7(a10),a10)),
% 58.65/58.72     inference(scs_inference,[],[744,44])).
% 58.65/58.72  cnf(874,plain,
% 58.65/58.72     (P4(f4(f7(a10)),a10)),
% 58.65/58.72     inference(scs_inference,[],[263,745,46])).
% 58.65/58.72  cnf(1087,plain,
% 58.65/58.72     (E(f8(f2(a9,a11)),f8(a1))),
% 58.65/58.72     inference(scs_inference,[],[61,4,2])).
% 58.65/58.72  cnf(1088,plain,
% 58.65/58.72     (P2(f8(a1),f12(f2(a9,a11)))),
% 58.65/58.72     inference(scs_inference,[],[1087,226])).
% 58.65/58.72  cnf(1089,plain,
% 58.65/58.72     (E(f8(a1),f8(f2(a9,a11)))),
% 58.65/58.72     inference(scs_inference,[],[1087,226,2])).
% 58.65/58.72  cnf(3009,plain,
% 58.65/58.72     (~P4(x30091,f4(f12(a3)))),
% 58.65/58.72     inference(scs_inference,[],[25,29,47])).
% 58.65/58.72  cnf(3012,plain,
% 58.65/58.72     (P3(f4(f12(a3)),x30121)),
% 58.65/58.72     inference(scs_inference,[],[25,29,47,45])).
% 58.65/58.72  cnf(4913,plain,
% 58.65/58.72     (P4(f4(f12(x49131)),f12(x49131))),
% 58.65/58.72     inference(scs_inference,[],[29,34,41])).
% 58.65/58.72  cnf(4920,plain,
% 58.65/58.72     (P4(x49201,f12(x49202))+~E(f4(f12(x49202)),x49201)),
% 58.65/58.72     inference(scs_inference,[],[29,34,89,41,43,19,18])).
% 58.65/58.72  cnf(6006,plain,
% 58.65/58.72     (P4(f8(x60061),f12(x60061))),
% 58.65/58.72     inference(scs_inference,[],[31,34,41])).
% 58.65/58.72  cnf(6009,plain,
% 58.65/58.72     (P4(f8(f2(a9,a11)),f12(a1))),
% 58.65/58.72     inference(scs_inference,[],[31,1089,34,41,18])).
% 58.65/58.72  cnf(6647,plain,
% 58.65/58.72     (~P4(f13(a9,f4(a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[68,26,295,36])).
% 58.65/58.72  cnf(6824,plain,
% 58.65/58.72     (~P2(f13(a9,f4(a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[6647,72,41])).
% 58.65/58.72  cnf(8981,plain,
% 58.65/58.72     (~E(f8(f12(a9)),f2(a9,a11))+~P4(f13(a9,f6(a9,a11,a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[30,199,31,136,55])).
% 58.65/58.72  cnf(9060,plain,
% 58.65/58.72     (~P4(f13(a9,f6(a9,a11,a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[68,26,8981,36])).
% 58.65/58.72  cnf(9061,plain,
% 58.65/58.72     (P4(f6(a9,a11,a11),a11)),
% 58.65/58.72     inference(scs_inference,[],[9060,208])).
% 58.65/58.72  cnf(9069,plain,
% 58.65/58.72     (~P4(a11,f6(a9,a11,a11))),
% 58.65/58.72     inference(scs_inference,[],[9061,43])).
% 58.65/58.72  cnf(10326,plain,
% 58.65/58.72     (~P2(f13(a9,f6(a9,a11,a11)),a11)),
% 58.65/58.72     inference(scs_inference,[],[9060,72,41])).
% 58.65/58.72  cnf(13875,plain,
% 58.65/58.72     (E(f2(f2(a9,a11),x138751),f2(a1,x138751))),
% 58.65/58.72     inference(scs_inference,[],[68,35,5])).
% 58.65/58.72  cnf(13876,plain,
% 58.65/58.72     (E(f2(a1,x138761),f2(f2(a9,a11),x138761))),
% 58.65/58.72     inference(scs_inference,[],[13875,2])).
% 58.65/58.72  cnf(14579,plain,
% 58.65/58.72     (E(f2(x145791,f2(a9,a11)),f2(x145791,a1))),
% 58.65/58.72     inference(scs_inference,[],[68,35,6])).
% 58.65/58.72  cnf(14580,plain,
% 58.65/58.72     (E(f2(x145801,a1),f2(x145801,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[14579,2])).
% 58.65/58.73  cnf(14581,plain,
% 58.65/58.73     (E(f2(a1,f2(a9,a11)),f2(f2(a9,a11),a1))),
% 58.65/58.73     inference(scs_inference,[],[13876,14579,2,3])).
% 58.65/58.73  cnf(14591,plain,
% 58.65/58.73     (E(f2(f2(a9,a11),a1),f2(a1,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[14581,2])).
% 58.65/58.73  cnf(14594,plain,
% 58.65/58.73     (E(f2(x145941,a1),f2(x145941,f2(a9,a11)))),
% 58.65/58.73     inference(rename_variables,[],[14580])).
% 58.65/58.73  cnf(14595,plain,
% 58.65/58.73     (~P1(f2(x145951,a1))+P1(f2(x145951,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[13876,14580,14594,14581,2,3,17])).
% 58.65/58.73  cnf(14706,plain,
% 58.65/58.73     (P1(f2(x147061,f2(a9,a11)))+P2(f7(f2(x147061,a1)),f12(f2(x147061,a1)))),
% 58.65/58.73     inference(scs_inference,[],[14595,39])).
% 58.65/58.73  cnf(15373,plain,
% 58.65/58.73     (P3(f2(f2(a9,a11),a1),f2(a1,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[14591,28,23])).
% 58.65/58.73  cnf(15384,plain,
% 58.65/58.73     (E(f2(x153841,a1),f2(x153841,f2(a9,a11)))),
% 58.65/58.73     inference(rename_variables,[],[14580])).
% 58.65/58.73  cnf(15385,plain,
% 58.65/58.73     (P2(f4(f2(x153851,a1)),f2(x153851,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[14580,15384,15373,29,22,21])).
% 58.65/58.73  cnf(15389,plain,
% 58.65/58.73     (P2(x153891,f2(x153892,f2(a9,a11)))+~E(f4(f2(x153892,a1)),x153891)),
% 58.65/58.73     inference(scs_inference,[],[14580,15384,13876,15373,29,22,21,23,20])).
% 58.65/58.73  cnf(16264,plain,
% 58.65/58.73     (P1(f2(x162641,f2(a9,a11)))+P3(f7(f2(x162641,a1)),f2(x162641,a1))),
% 58.65/58.73     inference(scs_inference,[],[14706,44])).
% 58.65/58.73  cnf(17385,plain,
% 58.65/58.73     (P3(x173851,x173851)),
% 58.65/58.73     inference(rename_variables,[],[28])).
% 58.65/58.73  cnf(17388,plain,
% 58.65/58.73     (E(f2(a1,x173881),f2(f2(a9,a11),x173881))),
% 58.65/58.73     inference(rename_variables,[],[13876])).
% 58.65/58.73  cnf(17389,plain,
% 58.65/58.73     (P3(f2(a1,x173891),f2(f2(a9,a11),x173891))),
% 58.65/58.73     inference(scs_inference,[],[13876,17388,15385,28,17385,22,21,23])).
% 58.65/58.73  cnf(17816,plain,
% 58.65/58.73     (~P3(a10,f2(a9,a11))),
% 58.65/58.73     inference(scs_inference,[],[74,89,46])).
% 58.65/58.73  cnf(17866,plain,
% 58.65/58.73     (~P3(f12(x178661),f2(a9,a11))),
% 58.65/58.73     inference(scs_inference,[],[4913,89,46])).
% 58.65/58.73  cnf(17878,plain,
% 58.65/58.73     (~P3(a11,f4(f12(a1)))),
% 58.65/58.73     inference(scs_inference,[],[96,77,46])).
% 58.65/58.73  cnf(17883,plain,
% 58.65/58.73     (~E(f8(x178831),a11)),
% 58.65/58.73     inference(scs_inference,[],[3012,96,77,17866,46,22,236])).
% 58.65/58.73  cnf(17891,plain,
% 58.65/58.73     (~P3(a11,f2(a9,a11))),
% 58.65/58.73     inference(scs_inference,[],[96,89,46])).
% 58.65/58.73  cnf(17894,plain,
% 58.65/58.73     (~E(f2(a9,a11),a11)),
% 58.65/58.73     inference(scs_inference,[],[71,96,89,17878,46,22])).
% 58.65/58.73  cnf(17903,plain,
% 58.65/58.73     (~E(f4(f12(a3)),a11)),
% 58.65/58.73     inference(scs_inference,[],[3012,17891,22])).
% 58.65/58.73  cnf(17940,plain,
% 58.65/58.73     (~E(f4(f12(a1)),a11)),
% 58.65/58.73     inference(scs_inference,[],[91,17891,22])).
% 58.65/58.73  cnf(17949,plain,
% 58.65/58.73     (~E(a3,a11)),
% 58.65/58.73     inference(scs_inference,[],[138,17878,22])).
% 58.65/58.73  cnf(18090,plain,
% 58.65/58.73     (~P4(f13(a9,f4(a11)),x180901)+~E(x180901,a11)),
% 58.65/58.73     inference(scs_inference,[],[118,6009,6647,46,19])).
% 58.65/58.73  cnf(18122,plain,
% 58.65/58.73     (~P4(f13(a9,f6(a9,a11,a11)),x181221)+~E(x181221,a11)),
% 58.65/58.73     inference(scs_inference,[],[118,874,9060,46,19])).
% 58.65/58.73  cnf(18131,plain,
% 58.65/58.73     (~P4(f12(f12(a9)),x181311)+~E(x181311,a11)),
% 58.65/58.73     inference(scs_inference,[],[118,96,127,46,19])).
% 58.65/58.73  cnf(18178,plain,
% 58.65/58.73     (~P4(x181781,f4(a11))+~E(x181781,a11)),
% 58.65/58.73     inference(scs_inference,[],[105,18])).
% 58.65/58.73  cnf(18183,plain,
% 58.65/58.73     (~P4(x181831,f6(a9,a11,a11))+~E(x181831,a11)),
% 58.65/58.73     inference(scs_inference,[],[9069,18])).
% 58.65/58.73  cnf(18315,plain,
% 58.65/58.73     (~P3(f12(a1),a1)),
% 58.65/58.73     inference(scs_inference,[],[6009,62,46])).
% 58.65/58.73  cnf(18324,plain,
% 58.65/58.73     (~P3(f12(f12(a9)),f4(a11))),
% 58.65/58.73     inference(scs_inference,[],[105,122,46])).
% 58.65/58.73  cnf(18663,plain,
% 58.65/58.73     (E(f2(a9,f2(a9,a11)),a11)),
% 58.65/58.73     inference(scs_inference,[],[30,51,52])).
% 58.65/58.73  cnf(18667,plain,
% 58.65/58.73     (~P1(f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[30,72,51,52,44,17])).
% 58.65/58.73  cnf(18668,plain,
% 58.65/58.73     (~E(a1,f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[30,32,72,51,52,44,17,3])).
% 58.65/58.73  cnf(18686,plain,
% 58.65/58.73     (P2(f13(f2(a9,a11),f8(a1)),f12(f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[1088,18663,18090,18178,51])).
% 58.65/58.73  cnf(18688,plain,
% 58.65/58.73     (~P4(f13(a9,f6(a9,a11,a11)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[1088,18663,18090,18178,51,18122])).
% 58.65/58.73  cnf(18691,plain,
% 58.65/58.73     (~P4(f12(f12(a9)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[1088,18663,18090,18178,51,18122,44,18131])).
% 58.65/58.73  cnf(18696,plain,
% 58.65/58.73     (~P1(f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,1088,18667,18668,18663,18090,18178,51,18122,44,18131,18183,2,41,17])).
% 58.65/58.73  cnf(18697,plain,
% 58.65/58.73     (E(f2(x186971,a1),f2(x186971,f2(a9,a11)))),
% 58.65/58.73     inference(rename_variables,[],[14580])).
% 58.65/58.73  cnf(18698,plain,
% 58.65/58.73     (~P4(x186981,f13(f2(a9,a11),f8(a1)))),
% 58.65/58.73     inference(scs_inference,[],[14580,1088,68,18667,18668,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47])).
% 58.65/58.73  cnf(18700,plain,
% 58.65/58.73     (~E(f4(f12(a3)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[14580,1088,17903,68,18667,18668,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47,3])).
% 58.65/58.73  cnf(18701,plain,
% 58.65/58.73     (~E(f4(f2(a9,a1)),f13(a9,f4(a11)))),
% 58.65/58.73     inference(scs_inference,[],[14580,1088,15385,17903,68,18667,18668,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47,3,20])).
% 58.65/58.73  cnf(18704,plain,
% 58.65/58.73     (~E(f13(f2(a9,a11),f8(a1)),a11)),
% 58.65/58.73     inference(scs_inference,[],[14580,27,1088,15385,17903,68,18667,18668,17891,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47,3,20,23,22])).
% 58.65/58.73  cnf(18705,plain,
% 58.65/58.73     (~P4(f13(a9,f4(a11)),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18697,27,1088,15385,17903,68,18667,18668,17891,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47,3,20,23,22,19])).
% 58.65/58.73  cnf(18706,plain,
% 58.65/58.73     (E(f2(x187061,a1),f2(x187061,f2(a9,a11)))),
% 58.65/58.73     inference(rename_variables,[],[14580])).
% 58.65/58.73  cnf(18709,plain,
% 58.65/58.73     (P3(f13(f2(a9,a11),f8(a1)),x187091)),
% 58.65/58.73     inference(scs_inference,[],[14580,18697,18706,27,1088,15385,17903,68,18667,18668,17891,18663,18090,18178,51,18122,44,18131,18183,2,41,17,47,3,20,23,22,19,18,45])).
% 58.65/58.73  cnf(18730,plain,
% 58.65/58.73     (~E(f4(f12(a1)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[17940,6009,18705,18701,18696,107,18698,18663,51,44,2,46,41,3])).
% 58.65/58.73  cnf(18731,plain,
% 58.65/58.73     (~E(f12(a9),a11)),
% 58.65/58.73     inference(scs_inference,[],[17940,6009,18705,18701,18696,107,6824,18698,18663,51,44,2,46,41,3,21])).
% 58.65/58.73  cnf(18732,plain,
% 58.65/58.73     (~P4(f13(a9,f6(a9,a11,a11)),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,17940,6009,18688,18705,18701,18696,107,6824,18698,18663,51,44,2,46,41,3,21,19])).
% 58.65/58.73  cnf(18748,plain,
% 58.65/58.73     (~E(a3,f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[17949,18696,18700,18732,199,18663,51,44,2,41,3])).
% 58.65/58.73  cnf(18749,plain,
% 58.65/58.73     (~P4(f12(f12(a9)),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,17949,18696,18700,18732,18691,199,18663,51,44,2,41,3,19])).
% 58.65/58.73  cnf(18759,plain,
% 58.65/58.73     (~E(f2(a9,a11),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[17894,18704,744,18663,51,2,3])).
% 58.65/58.73  cnf(18760,plain,
% 58.65/58.73     (~E(f12(a1),f13(f2(a9,a11),f8(a1)))),
% 58.65/58.73     inference(scs_inference,[],[6009,17894,18704,744,18663,18698,51,2,3,19])).
% 58.65/58.73  cnf(18769,plain,
% 58.65/58.73     (P2(f13(x187691,f8(x187691)),f12(x187691))),
% 58.65/58.73     inference(scs_inference,[],[31,51])).
% 58.65/58.73  cnf(18774,plain,
% 58.65/58.73     (~E(f8(x187741),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[17883,18730,31,144,18663,51,2,48,3])).
% 58.65/58.73  cnf(18782,plain,
% 58.65/58.73     (P3(f13(x187821,f8(x187821)),x187821)),
% 58.65/58.73     inference(scs_inference,[],[18769,44])).
% 58.65/58.73  cnf(18785,plain,
% 58.65/58.73     (~E(f13(f2(a9,a11),f8(a1)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[18704,18759,18663,18769,44,2,3])).
% 58.65/58.73  cnf(18793,plain,
% 58.65/58.73     (~E(f2(a9,a11),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18759,18774,2,3])).
% 58.65/58.73  cnf(18802,plain,
% 58.65/58.73     (~E(a1,f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18668,18748,2,3])).
% 58.65/58.73  cnf(18817,plain,
% 58.65/58.73     (~P2(f13(a9,f6(a9,a11,a11)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[18667,18688,18793,2,41])).
% 58.65/58.73  cnf(18829,plain,
% 58.65/58.73     (~P2(f12(f12(a9)),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[18667,18691,18785,2,41])).
% 58.65/58.73  cnf(18850,plain,
% 58.65/58.73     (~E(f13(f2(a9,a11),f8(a1)),f12(a1))),
% 58.65/58.73     inference(scs_inference,[],[18760,2])).
% 58.65/58.73  cnf(18859,plain,
% 58.65/58.73     (~E(f13(f2(a9,a11),f8(a1)),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18785,18802,2,3])).
% 58.65/58.73  cnf(18867,plain,
% 58.65/58.73     (~E(f8(x188671),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18774,18859,2,3])).
% 58.65/58.73  cnf(18880,plain,
% 58.65/58.73     (~E(a3,f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18748,18867,2,3])).
% 58.65/58.73  cnf(18888,plain,
% 58.65/58.73     (~E(f12(a9),f2(a9,f2(a9,a11)))),
% 58.65/58.73     inference(scs_inference,[],[18880,18731,18663,2,3])).
% 58.65/58.73  cnf(18896,plain,
% 58.65/58.73     (~E(f12(a9),f2(a9,a1))),
% 58.65/58.73     inference(scs_inference,[],[14580,18888,2,3])).
% 58.65/58.73  cnf(18912,plain,
% 58.65/58.73     (P2(x189121,f12(f2(a9,a11)))+~E(f13(f2(a9,a11),f8(a1)),x189121)),
% 58.65/58.73     inference(scs_inference,[],[18896,18686,2,20])).
% 58.65/58.73  cnf(18933,plain,
% 58.65/58.73     (P2(x189331,f12(x189332))+~E(f13(x189332,f8(x189332)),x189331)),
% 58.65/58.73     inference(scs_inference,[],[18769,20])).
% 58.65/58.73  cnf(19124,plain,
% 58.65/58.73     (~E(x191241,f12(a1))+~E(f13(f2(a9,a11),f8(a1)),x191241)),
% 58.65/58.73     inference(scs_inference,[],[18850,3])).
% 58.65/58.73  cnf(19281,plain,
% 58.65/58.73     (~P3(f12(f12(a9)),a1)),
% 58.65/58.73     inference(scs_inference,[],[122,62,46])).
% 58.65/58.73  cnf(20042,plain,
% 58.65/58.73     (P2(f13(f2(a9,a11),f8(a1)),f12(x200421))),
% 58.65/58.73     inference(scs_inference,[],[18709,262,37,42])).
% 58.65/58.73  cnf(20048,plain,
% 58.65/58.73     (P2(f2(a9,a11),f12(f12(a9)))),
% 58.65/58.73     inference(scs_inference,[],[27,18709,262,30,37,42,39,11,12,53])).
% 58.65/58.73  cnf(20055,plain,
% 58.65/58.73     (E(a3,a1)),
% 58.65/58.73     inference(scs_inference,[],[27,18709,18829,25,262,18667,30,37,42,39,11,12,53,15389,16264,14706,35])).
% 58.65/58.73  cnf(20066,plain,
% 58.65/58.73     (E(f13(x200661,a3),f13(x200661,a1))),
% 58.65/58.73     inference(scs_inference,[],[27,19281,18709,18829,25,262,18667,18663,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10])).
% 58.65/58.73  cnf(20072,plain,
% 58.65/58.73     (P4(f5(f12(a1),a1),f12(a1))),
% 58.65/58.73     inference(scs_inference,[],[27,19281,18709,18829,18315,18324,25,262,18667,18663,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45])).
% 58.65/58.73  cnf(20086,plain,
% 58.65/58.73     (E(f2(x200861,a1),f2(x200861,f2(a9,a11)))),
% 58.65/58.73     inference(rename_variables,[],[14580])).
% 58.65/58.73  cnf(20087,plain,
% 58.65/58.73     (E(f2(a9,a1),a11)),
% 58.65/58.73     inference(scs_inference,[],[27,18782,19281,18709,18829,18817,18315,18324,10326,6006,25,15385,262,18667,18663,122,14580,20086,18769,96,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45,47,19,18,22,48,20,21,3])).
% 58.65/58.73  cnf(20089,plain,
% 58.65/58.73     (~P3(a10,a1)),
% 58.65/58.73     inference(scs_inference,[],[27,18782,19281,18709,18829,18817,18315,18324,10326,6006,17816,25,15385,262,18667,61,18663,122,14580,20086,18769,96,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45,47,19,18,22,48,20,21,3,23])).
% 58.65/58.73  cnf(20090,plain,
% 58.65/58.73     (P1(f4(f12(a3)))),
% 58.65/58.73     inference(scs_inference,[],[27,18782,19281,18709,18829,18817,18315,18324,10326,6006,17816,25,15385,262,3009,18667,61,18663,122,14580,20086,18769,96,29,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45,47,19,18,22,48,20,21,3,23,41])).
% 58.65/58.73  cnf(20094,plain,
% 58.65/58.73     (E(f8(a3),f8(a1))),
% 58.65/58.73     inference(scs_inference,[],[27,18782,19281,18709,18829,18817,18315,18324,10326,6006,17816,25,15385,262,3009,18667,61,18663,122,14580,20086,18769,96,29,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45,47,19,18,22,48,20,21,3,23,41,4])).
% 58.65/58.73  cnf(20099,plain,
% 58.65/58.73     (E(f2(x200991,a3),f2(x200991,a1))),
% 58.65/58.73     inference(scs_inference,[],[27,18782,19281,18709,18829,18817,18315,18324,10326,6006,17816,25,15385,262,3009,18667,61,18663,122,14580,20086,18769,96,29,30,9061,37,42,39,11,12,53,15389,16264,14706,35,8,2,40,13,14,44,15,10,16,9,50,7,45,47,19,18,22,48,20,21,3,23,41,4,5,18933,19124,18912,6])).
% 58.65/58.73  cnf(20142,plain,
% 58.65/58.73     (E(f2(x201421,a3),f2(x201421,a1))),
% 58.65/58.73     inference(rename_variables,[],[20099])).
% 58.65/58.73  cnf(20157,plain,
% 58.65/58.73     ($false),
% 58.65/58.73     inference(scs_inference,[],[27,20055,20089,20066,20099,20142,20087,20094,20042,20072,20048,20090,17389,18867,6006,164,18749,28,34,72,61,31,29,136,62,37,42,39,12,35,11,5,6,4,40,8,44,2,14,13,15,10,16,45,4920,9,7,19,20,18,21,22,23,41,3,57]),
% 58.65/58.73     ['proof']).
% 58.65/58.74  % SZS output end Proof
% 58.80/58.74  % Total time :58.090000s
%------------------------------------------------------------------------------