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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU196+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 15:01:41 EDT 2024

% Result   : Theorem 0.73s 0.85s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU196+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n027.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   : Fri Jun 21 15:03:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 0.73/0.84  %-------------------------------------------
% 0.73/0.84  % File        :CSE---1.7
% 0.73/0.84  % Problem     :theBenchmark
% 0.73/0.84  % Transform   :cnf
% 0.73/0.84  % Format      :tptp:raw
% 0.73/0.84  % Command     :java -jar mcs_scs.jar %d %s
% 0.73/0.84  
% 0.73/0.84  % Result      :Theorem 0.240000s
% 0.73/0.84  % Output      :CNFRefutation 0.240000s
% 0.73/0.84  %-------------------------------------------
% 0.73/0.85  %------------------------------------------------------------------------------
% 0.73/0.85  % File     : SEU196+1 : TPTP v8.2.0. Released v3.3.0.
% 0.73/0.85  % Domain   : Set theory
% 0.73/0.85  % Problem  : MPTP bushy problem t99_relat_1
% 0.73/0.85  % Version  : [Urb07] axioms : Especial.
% 0.73/0.85  % English  :
% 0.73/0.85  
% 0.73/0.85  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.73/0.85  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.73/0.85  % Source   : [Urb07]
% 0.73/0.85  % Names    : bushy-t99_relat_1 [Urb07]
% 0.73/0.85  
% 0.73/0.85  % Status   : Theorem
% 0.73/0.85  % Rating   : 0.06 v8.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.14 v5.3.0, 0.22 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0
% 0.73/0.85  % Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
% 0.73/0.85  %            Number of atoms       :   69 (   2 equ)
% 0.73/0.85  %            Maximal formula atoms :    5 (   2 avg)
% 0.73/0.85  %            Number of connectives :   49 (  14   ~;   1   |;  16   &)
% 0.73/0.85  %                                         (   1 <=>;  17  =>;   0  <=;   0 <~>)
% 0.73/0.85  %            Maximal formula depth :    7 (   4 avg)
% 0.73/0.85  %            Maximal term depth    :    3 (   1 avg)
% 0.73/0.85  %            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
% 0.73/0.85  %            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
% 0.73/0.85  %            Number of variables   :   45 (  38   !;   7   ?)
% 0.73/0.85  % SPC      : FOF_THM_RFO_SEQ
% 0.73/0.85  
% 0.73/0.85  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.73/0.85  %            library, www.mizar.org
% 0.73/0.85  %------------------------------------------------------------------------------
% 0.73/0.85  fof(antisymmetry_r2_hidden,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( in(A,B)
% 0.73/0.85       => ~ in(B,A) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(cc1_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( empty(A)
% 0.73/0.85       => relation(A) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_k1_relat_1,axiom,
% 0.73/0.85      $true ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_k1_xboole_0,axiom,
% 0.73/0.85      $true ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_k1_zfmisc_1,axiom,
% 0.73/0.85      $true ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_k2_relat_1,axiom,
% 0.73/0.85      $true ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_k7_relat_1,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( relation(A)
% 0.73/0.85       => relation(relation_dom_restriction(A,B)) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(dt_m1_subset_1,axiom,
% 0.73/0.85      $true ).
% 0.73/0.85  
% 0.73/0.85  fof(existence_m1_subset_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85      ? [B] : element(B,A) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc1_subset_1,axiom,
% 0.73/0.85      ! [A] : ~ empty(powerset(A)) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc1_xboole_0,axiom,
% 0.73/0.85      empty(empty_set) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc4_relat_1,axiom,
% 0.73/0.85      ( empty(empty_set)
% 0.73/0.85      & relation(empty_set) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc5_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( ( ~ empty(A)
% 0.73/0.85          & relation(A) )
% 0.73/0.85       => ~ empty(relation_dom(A)) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc6_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( ( ~ empty(A)
% 0.73/0.85          & relation(A) )
% 0.73/0.85       => ~ empty(relation_rng(A)) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc7_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( empty(A)
% 0.73/0.85       => ( empty(relation_dom(A))
% 0.73/0.85          & relation(relation_dom(A)) ) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(fc8_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( empty(A)
% 0.73/0.85       => ( empty(relation_rng(A))
% 0.73/0.85          & relation(relation_rng(A)) ) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc1_relat_1,axiom,
% 0.73/0.85      ? [A] :
% 0.73/0.85        ( empty(A)
% 0.73/0.85        & relation(A) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc1_subset_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( ~ empty(A)
% 0.73/0.85       => ? [B] :
% 0.73/0.85            ( element(B,powerset(A))
% 0.73/0.85            & ~ empty(B) ) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc1_xboole_0,axiom,
% 0.73/0.85      ? [A] : empty(A) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc2_relat_1,axiom,
% 0.73/0.85      ? [A] :
% 0.73/0.85        ( ~ empty(A)
% 0.73/0.85        & relation(A) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc2_subset_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85      ? [B] :
% 0.73/0.85        ( element(B,powerset(A))
% 0.73/0.85        & empty(B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(rc2_xboole_0,axiom,
% 0.73/0.85      ? [A] : ~ empty(A) ).
% 0.73/0.85  
% 0.73/0.85  fof(reflexivity_r1_tarski,axiom,
% 0.73/0.85      ! [A,B] : subset(A,A) ).
% 0.73/0.85  
% 0.73/0.85  fof(t1_subset,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( in(A,B)
% 0.73/0.85       => element(A,B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t25_relat_1,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( relation(A)
% 0.73/0.85       => ! [B] :
% 0.73/0.85            ( relation(B)
% 0.73/0.85           => ( subset(A,B)
% 0.73/0.85             => ( subset(relation_dom(A),relation_dom(B))
% 0.73/0.85                & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t2_subset,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( element(A,B)
% 0.73/0.85       => ( empty(B)
% 0.73/0.85          | in(A,B) ) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t3_subset,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( element(A,powerset(B))
% 0.73/0.85      <=> subset(A,B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t4_subset,axiom,
% 0.73/0.85      ! [A,B,C] :
% 0.73/0.85        ( ( in(A,B)
% 0.73/0.85          & element(B,powerset(C)) )
% 0.73/0.85       => element(A,C) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t5_subset,axiom,
% 0.73/0.85      ! [A,B,C] :
% 0.73/0.85        ~ ( in(A,B)
% 0.73/0.85          & element(B,powerset(C))
% 0.73/0.85          & empty(C) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t6_boole,axiom,
% 0.73/0.85      ! [A] :
% 0.73/0.85        ( empty(A)
% 0.73/0.85       => A = empty_set ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t7_boole,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ~ ( in(A,B)
% 0.73/0.85          & empty(B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t88_relat_1,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( relation(B)
% 0.73/0.85       => subset(relation_dom_restriction(B,A),B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t8_boole,axiom,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ~ ( empty(A)
% 0.73/0.85          & A != B
% 0.73/0.85          & empty(B) ) ).
% 0.73/0.85  
% 0.73/0.85  fof(t99_relat_1,conjecture,
% 0.73/0.85      ! [A,B] :
% 0.73/0.85        ( relation(B)
% 0.73/0.85       => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 0.73/0.85  
% 0.73/0.85  %------------------------------------------------------------------------------
% 0.73/0.85  %-------------------------------------------
% 0.73/0.85  % Proof found
% 0.73/0.85  % SZS status Theorem for theBenchmark
% 0.73/0.85  % SZS output start Proof
% 0.73/0.85  %ClaNum:58(EqnAxiom:19)
% 0.73/0.85  %VarNum:89(SingletonVarNum:43)
% 0.73/0.85  %MaxLitNum:4
% 0.73/0.85  %MaxfuncDepth:2
% 0.73/0.86  %SharedTerms:20
% 0.73/0.86  %goalClause: 27 35
% 0.73/0.86  %singleGoalClaCount:2
% 0.73/0.86  [21]P1(a1)
% 0.73/0.86  [22]P1(a2)
% 0.73/0.86  [23]P1(a4)
% 0.73/0.86  [24]P3(a1)
% 0.73/0.86  [25]P3(a2)
% 0.73/0.86  [26]P3(a6)
% 0.73/0.86  [27]P3(a7)
% 0.73/0.86  [32]~P1(a6)
% 0.73/0.86  [33]~P1(a9)
% 0.73/0.86  [35]~P5(f14(f12(a7,a10)),f14(a7))
% 0.73/0.86  [29]P5(x291,x291)
% 0.73/0.86  [28]P1(f8(x281))
% 0.73/0.86  [30]P2(f3(x301),x301)
% 0.73/0.86  [31]P2(f8(x311),f11(x311))
% 0.73/0.86  [34]~P1(f11(x341))
% 0.73/0.86  [36]~P1(x361)+E(x361,a1)
% 0.73/0.86  [37]~P1(x371)+P3(x371)
% 0.73/0.86  [39]~P1(x391)+P1(f13(x391))
% 0.73/0.86  [40]~P1(x401)+P1(f14(x401))
% 0.73/0.86  [41]~P1(x411)+P3(f13(x411))
% 0.73/0.86  [42]~P1(x421)+P3(f14(x421))
% 0.73/0.86  [43]P1(x431)+~P1(f5(x431))
% 0.73/0.86  [47]P1(x471)+P2(f5(x471),f11(x471))
% 0.73/0.86  [46]~P1(x461)+~P4(x462,x461)
% 0.73/0.86  [48]~P4(x481,x482)+P2(x481,x482)
% 0.73/0.86  [52]~P4(x522,x521)+~P4(x521,x522)
% 0.73/0.86  [49]~P3(x491)+P3(f12(x491,x492))
% 0.73/0.86  [51]~P5(x511,x512)+P2(x511,f11(x512))
% 0.73/0.86  [53]P5(x531,x532)+~P2(x531,f11(x532))
% 0.73/0.86  [54]~P3(x541)+P5(f12(x541,x542),x541)
% 0.73/0.86  [44]~P3(x441)+P1(x441)+~P1(f13(x441))
% 0.73/0.86  [45]~P3(x451)+P1(x451)+~P1(f14(x451))
% 0.73/0.86  [38]~P1(x382)+~P1(x381)+E(x381,x382)
% 0.73/0.86  [50]~P2(x502,x501)+P1(x501)+P4(x502,x501)
% 0.73/0.86  [55]~P1(x551)+~P4(x552,x553)+~P2(x553,f11(x551))
% 0.73/0.86  [58]P2(x581,x582)+~P4(x581,x583)+~P2(x583,f11(x582))
% 0.73/0.86  [56]~P3(x562)+~P3(x561)+~P5(x561,x562)+P5(f13(x561),f13(x562))
% 0.73/0.86  [57]~P3(x572)+~P3(x571)+~P5(x571,x572)+P5(f14(x571),f14(x572))
% 0.73/0.86  %EqnAxiom
% 0.73/0.86  [1]E(x11,x11)
% 0.73/0.86  [2]E(x22,x21)+~E(x21,x22)
% 0.73/0.86  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.73/0.86  [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.73/0.86  [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.73/0.86  [6]~E(x61,x62)+E(f11(x61),f11(x62))
% 0.73/0.86  [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.73/0.86  [8]~E(x81,x82)+E(f12(x81,x83),f12(x82,x83))
% 0.73/0.86  [9]~E(x91,x92)+E(f12(x93,x91),f12(x93,x92))
% 0.73/0.86  [10]~E(x101,x102)+E(f13(x101),f13(x102))
% 0.73/0.86  [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 0.73/0.86  [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.73/0.86  [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.73/0.86  [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.73/0.86  [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.73/0.86  [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.73/0.86  [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 0.73/0.86  [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 0.73/0.86  [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 0.73/0.86  
% 0.73/0.86  %-------------------------------------------
% 0.73/0.86  cnf(59,plain,
% 0.73/0.86     (P5(f3(f11(x591)),x591)),
% 0.73/0.86     inference(scs_inference,[],[30,53])).
% 0.73/0.86  cnf(60,plain,
% 0.73/0.86     (P2(f3(x601),x601)),
% 0.73/0.86     inference(rename_variables,[],[30])).
% 0.73/0.86  cnf(65,plain,
% 0.73/0.86     (P5(x651,x651)),
% 0.73/0.86     inference(rename_variables,[],[29])).
% 0.73/0.86  cnf(66,plain,
% 0.73/0.86     (~E(f14(f12(a7,a10)),f14(a7))),
% 0.73/0.86     inference(scs_inference,[],[35,29,65,30,21,53,46,18,19])).
% 0.73/0.86  cnf(68,plain,
% 0.73/0.86     (P4(f3(a6),a6)),
% 0.73/0.86     inference(scs_inference,[],[35,29,65,32,30,60,21,53,46,18,19,50])).
% 0.73/0.86  cnf(69,plain,
% 0.73/0.86     (P2(f3(x691),x691)),
% 0.73/0.86     inference(rename_variables,[],[30])).
% 0.73/0.86  cnf(71,plain,
% 0.73/0.86     (~P4(x711,f3(f11(a1)))),
% 0.73/0.86     inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55])).
% 0.73/0.86  cnf(74,plain,
% 0.73/0.86     (~E(a6,a1)),
% 0.73/0.86     inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55,16])).
% 0.73/0.86  cnf(77,plain,
% 0.73/0.86     (~E(a7,f12(a7,a10))),
% 0.73/0.86     inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55,16,52,7])).
% 0.73/0.86  cnf(84,plain,
% 0.73/0.86     (P5(f8(x841),x841)),
% 0.73/0.86     inference(scs_inference,[],[31,53])).
% 0.73/0.86  cnf(89,plain,
% 0.73/0.86     (~P4(x891,f8(a2))),
% 0.73/0.86     inference(scs_inference,[],[66,31,22,53,7,46,55])).
% 0.73/0.86  cnf(90,plain,
% 0.73/0.86     (P2(f8(x901),f11(x901))),
% 0.73/0.86     inference(rename_variables,[],[31])).
% 0.73/0.86  cnf(92,plain,
% 0.73/0.86     (P4(f3(a9),a9)),
% 0.73/0.86     inference(scs_inference,[],[66,33,31,22,30,53,7,46,55,50])).
% 0.73/0.86  cnf(105,plain,
% 0.73/0.86     (P5(f3(f11(x1051)),x1052)+~E(x1051,x1052)),
% 0.73/0.86     inference(scs_inference,[],[59,66,71,68,33,31,90,77,22,30,53,7,46,55,50,16,52,14,58,38,13,19])).
% 0.73/0.86  cnf(111,plain,
% 0.73/0.86     (~P4(x1111,a4)),
% 0.73/0.86     inference(scs_inference,[],[23,46])).
% 0.73/0.86  cnf(113,plain,
% 0.73/0.86     (P4(f3(f11(x1131)),f11(x1131))),
% 0.73/0.86     inference(scs_inference,[],[34,23,30,46,50])).
% 0.73/0.86  cnf(114,plain,
% 0.73/0.86     (P2(f3(x1141),x1141)),
% 0.73/0.86     inference(rename_variables,[],[30])).
% 0.73/0.86  cnf(116,plain,
% 0.73/0.86     (~P4(x1161,f3(f11(a4)))),
% 0.73/0.86     inference(scs_inference,[],[34,23,30,114,46,50,55])).
% 0.73/0.86  cnf(117,plain,
% 0.73/0.86     (P2(f3(x1171),x1171)),
% 0.73/0.86     inference(rename_variables,[],[30])).
% 0.73/0.86  cnf(131,plain,
% 0.73/0.86     (~P1(f12(a7,a10))),
% 0.73/0.86     inference(scs_inference,[],[35,84,89,92,34,23,28,30,114,117,46,50,55,16,18,52,58,38,40])).
% 0.73/0.86  cnf(134,plain,
% 0.73/0.86     (~P4(x1341,f8(x1342))),
% 0.73/0.86     inference(scs_inference,[],[28,46])).
% 0.73/0.86  cnf(136,plain,
% 0.73/0.86     (P4(f3(f12(a7,a10)),f12(a7,a10))),
% 0.73/0.86     inference(scs_inference,[],[131,28,30,46,50])).
% 0.73/0.86  cnf(137,plain,
% 0.73/0.86     (P2(f3(x1371),x1371)),
% 0.73/0.86     inference(rename_variables,[],[30])).
% 0.73/0.86  cnf(145,plain,
% 0.73/0.86     (P2(f3(x1451),x1452)+~E(x1451,x1452)),
% 0.73/0.86     inference(scs_inference,[],[113,116,131,28,30,137,46,50,16,52,15,13,14])).
% 0.73/0.86  cnf(146,plain,
% 0.73/0.86     (P5(f8(x1461),x1462)+~E(x1461,x1462)),
% 0.73/0.86     inference(scs_inference,[],[84,113,116,131,28,30,137,46,50,16,52,15,13,14,19])).
% 0.73/0.86  cnf(222,plain,
% 0.73/0.86     (E(f13(a4),a1)),
% 0.73/0.86     inference(scs_inference,[],[23,36,39])).
% 0.73/0.86  cnf(230,plain,
% 0.73/0.86     (~P4(x2301,f13(a4))),
% 0.73/0.86     inference(scs_inference,[],[24,222,74,21,146,145,2,17,12,3,105,46])).
% 0.73/0.86  cnf(261,plain,
% 0.73/0.86     (~P1(f5(a6))),
% 0.73/0.86     inference(scs_inference,[],[68,43,46])).
% 0.73/0.86  cnf(262,plain,
% 0.73/0.86     (P4(f3(f5(a6)),f5(a6))),
% 0.73/0.86     inference(scs_inference,[],[261,30,50])).
% 0.73/0.86  cnf(269,plain,
% 0.73/0.86     (P4(x2691,f5(a6))+~E(f3(f5(a6)),x2691)),
% 0.73/0.86     inference(scs_inference,[],[261,230,30,50,16,52,15])).
% 0.73/0.86  cnf(273,plain,
% 0.73/0.86     (P2(f5(a6),f11(a6))),
% 0.73/0.86     inference(scs_inference,[],[74,47,36])).
% 0.73/0.86  cnf(283,plain,
% 0.73/0.86     (~P4(f11(a6),f5(a6))),
% 0.73/0.86     inference(scs_inference,[],[113,34,262,273,111,53,50,58,16,52])).
% 0.73/0.86  cnf(291,plain,
% 0.73/0.86     (P2(f12(a7,x2911),f11(a7))),
% 0.73/0.86     inference(scs_inference,[],[27,51,54])).
% 0.73/0.86  cnf(296,plain,
% 0.73/0.86     (P2(f12(a7,x2961),f11(a7))),
% 0.73/0.86     inference(rename_variables,[],[291])).
% 0.73/0.86  cnf(307,plain,
% 0.73/0.86     ($false),
% 0.73/0.86     inference(scs_inference,[],[35,27,136,262,291,296,261,134,283,269,53,55,50,58,16,57,49]),
% 0.73/0.86     ['proof']).
% 0.73/0.86  % SZS output end Proof
% 0.73/0.86  % Total time :0.240000s
%------------------------------------------------------------------------------