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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU189+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 : n025.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 15:01:39 EDT 2024

% Result   : Theorem 31.52s 31.53s
% Output   : CNFRefutation 31.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU189+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Jun 21 17:42:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.44/0.62  start to proof:theBenchmark
% 31.43/31.51  %-------------------------------------------
% 31.43/31.51  % File        :CSE---1.7
% 31.43/31.51  % Problem     :theBenchmark
% 31.43/31.51  % Transform   :cnf
% 31.43/31.51  % Format      :tptp:raw
% 31.43/31.51  % Command     :java -jar mcs_scs.jar %d %s
% 31.43/31.51  
% 31.43/31.51  % Result      :Theorem 30.850000s
% 31.43/31.51  % Output      :CNFRefutation 30.850000s
% 31.43/31.51  %-------------------------------------------
% 31.43/31.52  %------------------------------------------------------------------------------
% 31.43/31.52  % File     : SEU189+1 : TPTP v8.2.0. Released v3.3.0.
% 31.43/31.52  % Domain   : Set theory
% 31.43/31.52  % Problem  : MPTP bushy problem t65_relat_1
% 31.43/31.52  % Version  : [Urb07] axioms : Especial.
% 31.43/31.52  % English  :
% 31.43/31.52  
% 31.43/31.52  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 31.43/31.52  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 31.43/31.52  % Source   : [Urb07]
% 31.43/31.52  % Names    : bushy-t65_relat_1 [Urb07]
% 31.43/31.52  
% 31.43/31.52  % Status   : Theorem
% 31.43/31.52  % Rating   : 0.14 v8.2.0, 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0
% 31.43/31.52  % Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
% 31.43/31.52  %            Number of atoms       :   51 (   9 equ)
% 31.43/31.52  %            Maximal formula atoms :    4 (   2 avg)
% 31.43/31.52  %            Number of connectives :   36 (  10   ~;   2   |;  11   &)
% 31.43/31.52  %                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
% 31.43/31.52  %            Maximal formula depth :    7 (   3 avg)
% 31.43/31.52  %            Maximal term depth    :    2 (   1 avg)
% 31.43/31.52  %            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
% 31.43/31.52  %            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
% 31.43/31.52  %            Number of variables   :   24 (  19   !;   5   ?)
% 31.43/31.52  % SPC      : FOF_THM_RFO_SEQ
% 31.43/31.52  
% 31.43/31.52  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 31.43/31.52  %            library, www.mizar.org
% 31.43/31.52  %------------------------------------------------------------------------------
% 31.43/31.52  fof(existence_m1_subset_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52      ? [B] : element(B,A) ).
% 31.43/31.52  
% 31.43/31.52  fof(dt_m1_subset_1,axiom,
% 31.43/31.52      $true ).
% 31.43/31.52  
% 31.43/31.52  fof(t2_subset,axiom,
% 31.43/31.52      ! [A,B] :
% 31.43/31.52        ( element(A,B)
% 31.43/31.52       => ( empty(B)
% 31.43/31.52          | in(A,B) ) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(antisymmetry_r2_hidden,axiom,
% 31.43/31.52      ! [A,B] :
% 31.43/31.52        ( in(A,B)
% 31.43/31.52       => ~ in(B,A) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(t1_subset,axiom,
% 31.43/31.52      ! [A,B] :
% 31.43/31.52        ( in(A,B)
% 31.43/31.52       => element(A,B) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(rc1_relat_1,axiom,
% 31.43/31.52      ? [A] :
% 31.43/31.52        ( empty(A)
% 31.43/31.52        & relation(A) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(cc1_relat_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52        ( empty(A)
% 31.43/31.52       => relation(A) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(rc2_relat_1,axiom,
% 31.43/31.52      ? [A] :
% 31.43/31.52        ( ~ empty(A)
% 31.43/31.52        & relation(A) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(fc5_relat_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52        ( ( ~ empty(A)
% 31.43/31.52          & relation(A) )
% 31.43/31.52       => ~ empty(relation_dom(A)) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(fc6_relat_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52        ( ( ~ empty(A)
% 31.43/31.52          & relation(A) )
% 31.43/31.52       => ~ empty(relation_rng(A)) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(fc7_relat_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52        ( empty(A)
% 31.43/31.52       => ( empty(relation_dom(A))
% 31.43/31.52          & relation(relation_dom(A)) ) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(fc8_relat_1,axiom,
% 31.43/31.52      ! [A] :
% 31.43/31.52        ( empty(A)
% 31.43/31.52       => ( empty(relation_rng(A))
% 31.43/31.52          & relation(relation_rng(A)) ) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(rc1_xboole_0,axiom,
% 31.43/31.52      ? [A] : empty(A) ).
% 31.43/31.52  
% 31.43/31.52  fof(rc2_xboole_0,axiom,
% 31.43/31.52      ? [A] : ~ empty(A) ).
% 31.43/31.52  
% 31.43/31.52  fof(t7_boole,axiom,
% 31.43/31.52      ! [A,B] :
% 31.43/31.52        ~ ( in(A,B)
% 31.43/31.52          & empty(B) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(t8_boole,axiom,
% 31.43/31.52      ! [A,B] :
% 31.43/31.52        ~ ( empty(A)
% 31.43/31.52          & A != B
% 31.43/31.52          & empty(B) ) ).
% 31.43/31.52  
% 31.43/31.52  fof(dt_k1_relat_1,axiom,
% 31.43/31.52      $true ).
% 31.43/31.52  
% 31.43/31.52  fof(dt_k1_xboole_0,axiom,
% 31.43/31.52      $true ).
% 31.43/31.52  
% 31.43/31.52  fof(dt_k2_relat_1,axiom,
% 31.43/31.52      $true ).
% 31.43/31.52  
% 31.43/31.53  fof(fc4_relat_1,axiom,
% 31.43/31.53      ( empty(empty_set)
% 31.43/31.53      & relation(empty_set) ) ).
% 31.43/31.53  
% 31.43/31.53  fof(fc1_xboole_0,axiom,
% 31.43/31.53      empty(empty_set) ).
% 31.43/31.53  
% 31.43/31.53  fof(t6_boole,axiom,
% 31.43/31.53      ! [A] :
% 31.43/31.53        ( empty(A)
% 31.43/31.53       => A = empty_set ) ).
% 31.43/31.53  
% 31.43/31.53  fof(t65_relat_1,conjecture,
% 31.43/31.53      ! [A] :
% 31.52/31.53        ( relation(A)
% 31.52/31.53       => ( relation_dom(A) = empty_set
% 31.52/31.53        <=> relation_rng(A) = empty_set ) ) ).
% 31.52/31.53  
% 31.52/31.53  fof(t60_relat_1,axiom,
% 31.52/31.53      ( relation_dom(empty_set) = empty_set
% 31.52/31.53      & relation_rng(empty_set) = empty_set ) ).
% 31.52/31.53  
% 31.52/31.53  fof(t64_relat_1,axiom,
% 31.52/31.53      ! [A] :
% 31.52/31.53        ( relation(A)
% 31.52/31.53       => ( ( relation_dom(A) = empty_set
% 31.52/31.53            | relation_rng(A) = empty_set )
% 31.52/31.53         => A = empty_set ) ) ).
% 31.52/31.53  
% 31.52/31.53  %------------------------------------------------------------------------------
% 31.52/31.53  %-------------------------------------------
% 31.52/31.53  % Proof found
% 31.52/31.53  % SZS status Theorem for theBenchmark
% 31.52/31.53  % SZS output start Proof
% 31.52/31.53  %ClaNum:42(EqnAxiom:12)
% 31.52/31.53  %VarNum:46(SingletonVarNum:21)
% 31.52/31.53  %MaxLitNum:3
% 31.52/31.53  %MaxfuncDepth:1
% 31.52/31.53  %SharedTerms:25
% 31.52/31.53  %goalClause: 22 26 28
% 31.52/31.53  %singleGoalClaCount:1
% 31.52/31.53  [16]P1(a1)
% 31.52/31.53  [17]P1(a3)
% 31.52/31.53  [18]P1(a5)
% 31.52/31.53  [19]P3(a1)
% 31.52/31.53  [20]P3(a3)
% 31.52/31.53  [21]P3(a6)
% 31.52/31.53  [22]P3(a7)
% 31.52/31.53  [24]~P1(a6)
% 31.52/31.53  [25]~P1(a8)
% 31.52/31.53  [13]E(f2(a1),a1)
% 31.52/31.53  [14]E(f9(a1),a1)
% 31.52/31.53  [23]P2(f4(x231),x231)
% 31.52/31.53  [26]E(f2(a7),a1)+E(f9(a7),a1)
% 31.52/31.53  [28]~E(f2(a7),a1)+~E(f9(a7),a1)
% 31.52/31.53  [27]~P1(x271)+E(x271,a1)
% 31.52/31.53  [29]~P1(x291)+P3(x291)
% 31.52/31.53  [33]~P1(x331)+P1(f2(x331))
% 31.52/31.53  [34]~P1(x341)+P1(f9(x341))
% 31.52/31.53  [35]~P1(x351)+P3(f2(x351))
% 31.52/31.53  [36]~P1(x361)+P3(f9(x361))
% 31.52/31.53  [39]~P1(x391)+~P4(x392,x391)
% 31.52/31.53  [40]~P4(x401,x402)+P2(x401,x402)
% 31.52/31.53  [42]~P4(x422,x421)+~P4(x421,x422)
% 31.52/31.53  [30]~P3(x301)+E(x301,a1)+~E(f2(x301),a1)
% 31.52/31.53  [31]~P3(x311)+E(x311,a1)+~E(f9(x311),a1)
% 31.52/31.53  [37]~P3(x371)+P1(x371)+~P1(f2(x371))
% 31.52/31.53  [38]~P3(x381)+P1(x381)+~P1(f9(x381))
% 31.52/31.53  [32]~P1(x322)+~P1(x321)+E(x321,x322)
% 31.52/31.53  [41]~P2(x412,x411)+P1(x411)+P4(x412,x411)
% 31.52/31.53  %EqnAxiom
% 31.52/31.53  [1]E(x11,x11)
% 31.52/31.53  [2]E(x22,x21)+~E(x21,x22)
% 31.52/31.53  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 31.52/31.53  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 31.52/31.53  [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 31.52/31.53  [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 31.52/31.53  [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 31.52/31.53  [8]P4(x82,x83)+~E(x81,x82)+~P4(x81,x83)
% 31.52/31.53  [9]P4(x93,x92)+~E(x91,x92)+~P4(x93,x91)
% 31.52/31.53  [10]~P3(x101)+P3(x102)+~E(x101,x102)
% 31.52/31.53  [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 31.52/31.53  [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 31.52/31.53  
% 31.52/31.53  %-------------------------------------------
% 31.52/31.53  cnf(43,plain,
% 31.52/31.53     (E(a1,f2(a1))),
% 31.52/31.53     inference(scs_inference,[],[13,2])).
% 31.52/31.53  cnf(44,plain,
% 31.52/31.53     (~P4(x441,a1)),
% 31.52/31.53     inference(scs_inference,[],[16,13,2,39])).
% 31.52/31.53  cnf(46,plain,
% 31.52/31.53     (P1(f2(a1))),
% 31.52/31.53     inference(scs_inference,[],[16,13,2,39,7])).
% 31.52/31.53  cnf(49,plain,
% 31.52/31.53     (P2(f4(x491),x491)),
% 31.52/31.53     inference(rename_variables,[],[23])).
% 31.52/31.53  cnf(50,plain,
% 31.52/31.53     (P4(f4(a6),a6)),
% 31.52/31.53     inference(scs_inference,[],[23,49,16,19,24,13,2,39,7,10,12,41])).
% 31.52/31.53  cnf(55,plain,
% 31.52/31.53     (E(x551,a1)+~E(x551,f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[23,49,16,19,24,13,14,2,39,7,10,12,41,42,3])).
% 31.52/31.53  cnf(61,plain,
% 31.52/31.53     (E(a1,f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[14,2])).
% 31.52/31.53  cnf(65,plain,
% 31.52/31.53     (P2(f4(x651),x651)),
% 31.52/31.53     inference(rename_variables,[],[23])).
% 31.52/31.53  cnf(69,plain,
% 31.52/31.53     (E(f9(a1),f2(a1))),
% 31.52/31.53     inference(scs_inference,[],[46,43,25,23,65,14,2,39,41,12,3])).
% 31.52/31.53  cnf(70,plain,
% 31.52/31.53     (P1(f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[46,43,25,23,65,14,16,2,39,41,12,3,7])).
% 31.52/31.53  cnf(71,plain,
% 31.52/31.53     (~E(a6,a1)),
% 31.52/31.53     inference(scs_inference,[],[46,43,44,50,25,23,65,14,16,2,39,41,12,3,7,9])).
% 31.52/31.53  cnf(82,plain,
% 31.52/31.53     (~P4(x821,f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[69,70,2,39])).
% 31.52/31.53  cnf(164,plain,
% 31.52/31.53     (E(a7,a1)+~P1(f2(a7))),
% 31.52/31.53     inference(scs_inference,[],[22,37,27])).
% 31.52/31.53  cnf(185,plain,
% 31.52/31.53     (E(a1,a7)+~E(f9(a7),a1)),
% 31.52/31.53     inference(scs_inference,[],[22,31,2])).
% 31.52/31.53  cnf(186,plain,
% 31.52/31.53     (E(a1,a7)+E(f2(a7),a1)),
% 31.52/31.53     inference(scs_inference,[],[185,26])).
% 31.52/31.53  cnf(284,plain,
% 31.52/31.53     (~P1(f2(a6))),
% 31.52/31.53     inference(scs_inference,[],[71,21,27,37])).
% 31.52/31.53  cnf(443,plain,
% 31.52/31.53     (~P1(f2(a7))+E(f9(a7),f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[164,5])).
% 31.52/31.53  cnf(444,plain,
% 31.52/31.53     (~P1(a7)+E(f9(a7),f9(a1))),
% 31.52/31.53     inference(scs_inference,[],[443,33])).
% 31.52/31.53  cnf(459,plain,
% 31.52/31.53     (E(a7,f2(a1))+~P1(f2(a7))),
% 31.52/31.53     inference(scs_inference,[],[43,164,3])).
% 31.52/31.53  cnf(487,plain,
% 31.52/31.53     (~P4(x4871,a7)+~P1(f2(a7))),
% 31.52/31.53     inference(scs_inference,[],[44,164,9])).
% 31.52/31.53  cnf(488,plain,
% 31.52/31.53     (P1(a7)+~P1(f2(a7))),
% 31.52/31.53     inference(scs_inference,[],[23,487,41])).
% 31.52/31.53  cnf(491,plain,
% 31.52/31.53     (~E(f2(a1),f2(a7))+P1(a7)),
% 31.52/31.53     inference(scs_inference,[],[46,488,7])).
% 31.52/31.53  cnf(492,plain,
% 31.52/31.53     (~E(f2(a7),f2(a1))+P1(a7)),
% 31.52/31.53     inference(scs_inference,[],[491,2])).
% 31.52/31.53  cnf(493,plain,
% 31.52/31.53     (~E(a7,a1)+P1(a7)),
% 31.52/31.53     inference(scs_inference,[],[492,4])).
% 31.52/31.53  cnf(494,plain,
% 31.52/31.53     (~E(a7,f9(a1))+P1(a7)),
% 31.52/31.53     inference(scs_inference,[],[493,55])).
% 31.52/31.53  cnf(495,plain,
% 31.52/31.53     (~E(f9(a1),a7)+P1(a7)),
% 31.52/31.53     inference(scs_inference,[],[494,2])).
% 31.52/31.54  cnf(496,plain,
% 31.52/31.54     (~E(f2(a1),a7)+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[69,495,3])).
% 31.52/31.54  cnf(497,plain,
% 31.52/31.54     (~E(a7,f2(a1))+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[496,2])).
% 31.52/31.54  cnf(498,plain,
% 31.52/31.54     (~E(a7,f2(a6))+~E(a7,f2(a1))),
% 31.52/31.54     inference(scs_inference,[],[284,497,7])).
% 31.52/31.54  cnf(499,plain,
% 31.52/31.54     (~P1(f2(a7))+~E(a7,f2(a6))),
% 31.52/31.54     inference(scs_inference,[],[498,459])).
% 31.52/31.54  cnf(500,plain,
% 31.52/31.54     (~P1(a7)+~E(a7,f2(a6))),
% 31.52/31.54     inference(scs_inference,[],[499,33])).
% 31.52/31.54  cnf(501,plain,
% 31.52/31.54     (~E(f2(a6),a7)+~P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[500,2])).
% 31.52/31.54  cnf(502,plain,
% 31.52/31.54     (~E(x5021,a7)+~E(f2(a6),x5021)+~P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[501,3])).
% 31.52/31.54  cnf(527,plain,
% 31.52/31.54     (~E(f9(a1),f2(a7))+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[70,488,7])).
% 31.52/31.54  cnf(528,plain,
% 31.52/31.54     (~E(f2(a7),f9(a1))+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[527,2])).
% 31.52/31.54  cnf(529,plain,
% 31.52/31.54     (~E(f2(a7),a1)+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[61,528,3])).
% 31.52/31.54  cnf(530,plain,
% 31.52/31.54     (E(a1,a7)+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[529,186])).
% 31.52/31.54  cnf(578,plain,
% 31.52/31.54     (~E(f2(a6),x5781)+~P1(f2(a7))+~E(x5781,a7)),
% 31.52/31.54     inference(scs_inference,[],[488,502])).
% 31.52/31.54  cnf(579,plain,
% 31.52/31.54     (P4(f4(f2(a7)),f2(a7))+~E(f2(a6),x5791)+~E(x5791,a7)),
% 31.52/31.54     inference(scs_inference,[],[23,578,41])).
% 31.52/31.54  cnf(580,plain,
% 31.52/31.54     (~E(f2(a7),f9(a1))+~E(f2(a6),x5801)+~E(x5801,a7)),
% 31.52/31.54     inference(scs_inference,[],[82,579,9])).
% 31.52/31.54  cnf(581,plain,
% 31.52/31.54     (~E(f9(a1),f2(a7))+~E(f2(a6),x5811)+~E(x5811,a7)),
% 31.52/31.54     inference(scs_inference,[],[580,2])).
% 31.52/31.54  cnf(582,plain,
% 31.52/31.54     (~E(f2(a1),f2(a7))+~E(f2(a6),x5821)+~E(x5821,a7)),
% 31.52/31.54     inference(scs_inference,[],[69,581,3])).
% 31.52/31.54  cnf(583,plain,
% 31.52/31.54     (~E(a1,a7)+~E(f2(a6),x5831)+~E(x5831,a7)),
% 31.52/31.54     inference(scs_inference,[],[582,4])).
% 31.52/31.54  cnf(584,plain,
% 31.52/31.54     (~E(x5841,f2(a6))+~E(a1,a7)+~E(x5841,a7)),
% 31.52/31.54     inference(scs_inference,[],[583,2])).
% 31.52/31.54  cnf(600,plain,
% 31.52/31.54     (~E(a7,a1)+P1(f2(a7))),
% 31.52/31.54     inference(scs_inference,[],[493,33])).
% 31.52/31.54  cnf(608,plain,
% 31.52/31.54     (~E(a1,a7)+P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[493,2])).
% 31.52/31.54  cnf(794,plain,
% 31.52/31.54     (E(a1,a7)+E(a7,a1)),
% 31.52/31.54     inference(scs_inference,[],[530,27])).
% 31.52/31.54  cnf(795,plain,
% 31.52/31.54     (E(a1,a7)),
% 31.52/31.54     inference(scs_inference,[],[794,2])).
% 31.52/31.54  cnf(798,plain,
% 31.52/31.54     (~E(x7981,f2(a6))+~E(x7981,a7)),
% 31.52/31.54     inference(scs_inference,[],[795,584])).
% 31.52/31.54  cnf(800,plain,
% 31.52/31.54     (P1(a7)),
% 31.52/31.54     inference(scs_inference,[],[795,608])).
% 31.52/31.54  cnf(816,plain,
% 31.52/31.54     (E(a7,a1)),
% 31.52/31.54     inference(scs_inference,[],[795,798,2])).
% 31.52/31.54  cnf(823,plain,
% 31.52/31.54     (E(f9(a7),f9(a1))),
% 31.52/31.54     inference(scs_inference,[],[800,444])).
% 31.52/31.54  cnf(883,plain,
% 31.52/31.54     (P1(f2(a7))),
% 31.52/31.54     inference(scs_inference,[],[816,600])).
% 31.52/31.54  cnf(1501,plain,
% 31.52/31.54     (~E(f2(a7),a1)),
% 31.52/31.54     inference(scs_inference,[],[823,55,28])).
% 31.52/31.54  cnf(1572,plain,
% 31.52/31.54     ($false),
% 31.52/31.54     inference(scs_inference,[],[1501,883,27]),
% 31.52/31.54     ['proof']).
% 31.52/31.54  % SZS output end Proof
% 31.52/31.54  % Total time :30.850000s
%------------------------------------------------------------------------------