TSTP Solution File: SEU323+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n019.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 : Thu Aug 31 16:19:14 EDT 2023

% Result   : Theorem 0.20s 0.69s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.35  % Computer : n019.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Thu Aug 24 01:18:44 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.20/0.54  start to proof:theBenchmark
% 0.20/0.68  %-------------------------------------------
% 0.20/0.68  % File        :CSE---1.6
% 0.20/0.68  % Problem     :theBenchmark
% 0.20/0.68  % Transform   :cnf
% 0.20/0.68  % Format      :tptp:raw
% 0.20/0.68  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.68  
% 0.20/0.68  % Result      :Theorem 0.080000s
% 0.20/0.68  % Output      :CNFRefutation 0.080000s
% 0.20/0.68  %-------------------------------------------
% 0.20/0.69  %------------------------------------------------------------------------------
% 0.20/0.69  % File     : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.69  % Domain   : Set theory
% 0.20/0.69  % Problem  : MPTP bushy problem t51_tops_1
% 0.20/0.69  % Version  : [Urb07] axioms : Especial.
% 0.20/0.69  % English  :
% 0.20/0.69  
% 0.20/0.69  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.20/0.69  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.20/0.69  % Source   : [Urb07]
% 0.20/0.69  % Names    : bushy-t51_tops_1 [Urb07]
% 0.20/0.69  
% 0.20/0.69  % Status   : Theorem
% 0.20/0.69  % Rating   : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0
% 0.20/0.69  % Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
% 0.20/0.69  %            Number of atoms       :   51 (   2 equ)
% 0.20/0.69  %            Maximal formula atoms :    5 (   2 avg)
% 0.20/0.69  %            Number of connectives :   30 (   0   ~;   0   |;  15   &)
% 0.20/0.69  %                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
% 0.20/0.69  %            Maximal formula depth :    7 (   4 avg)
% 0.20/0.69  %            Maximal term depth    :    5 (   1 avg)
% 0.20/0.69  %            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
% 0.20/0.69  %            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
% 0.20/0.69  %            Number of variables   :   31 (  26   !;   5   ?)
% 0.20/0.69  % SPC      : FOF_THM_RFO_SEQ
% 0.20/0.69  
% 0.20/0.69  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.69  %            library, www.mizar.org
% 0.20/0.69  %------------------------------------------------------------------------------
% 0.20/0.69  fof(fc3_tops_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A)
% 0.20/0.69          & closed_subset(B,A)
% 0.20/0.69          & element(B,powerset(the_carrier(A))) )
% 0.20/0.69       => open_subset(subset_complement(the_carrier(A),B),A) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(rc6_pre_topc,axiom,
% 0.20/0.69      ! [A] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A) )
% 0.20/0.69       => ? [B] :
% 0.20/0.69            ( element(B,powerset(the_carrier(A)))
% 0.20/0.69            & closed_subset(B,A) ) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(involutiveness_k3_subset_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( element(B,powerset(A))
% 0.20/0.69       => subset_complement(A,subset_complement(A,B)) = B ) ).
% 0.20/0.69  
% 0.20/0.69  fof(reflexivity_r1_tarski,axiom,
% 0.20/0.69      ! [A,B] : subset(A,A) ).
% 0.20/0.69  
% 0.20/0.69  fof(existence_l1_struct_0,axiom,
% 0.20/0.69      ? [A] : one_sorted_str(A) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_k3_subset_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( element(B,powerset(A))
% 0.20/0.69       => element(subset_complement(A,B),powerset(A)) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_k6_pre_topc,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( ( top_str(A)
% 0.20/0.69          & element(B,powerset(the_carrier(A))) )
% 0.20/0.69       => element(topstr_closure(A,B),powerset(the_carrier(A))) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_l1_struct_0,axiom,
% 0.20/0.69      $true ).
% 0.20/0.69  
% 0.20/0.69  fof(fc2_tops_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A)
% 0.20/0.69          & element(B,powerset(the_carrier(A))) )
% 0.20/0.69       => closed_subset(topstr_closure(A,B),A) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(fc4_tops_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A)
% 0.20/0.69          & open_subset(B,A)
% 0.20/0.69          & element(B,powerset(the_carrier(A))) )
% 0.20/0.69       => closed_subset(subset_complement(the_carrier(A),B),A) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(existence_l1_pre_topc,axiom,
% 0.20/0.69      ? [A] : top_str(A) ).
% 0.20/0.69  
% 0.20/0.69  fof(existence_m1_subset_1,axiom,
% 0.20/0.69      ! [A] :
% 0.20/0.69      ? [B] : element(B,A) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_k1_tops_1,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( ( top_str(A)
% 0.20/0.69          & element(B,powerset(the_carrier(A))) )
% 0.20/0.69       => element(interior(A,B),powerset(the_carrier(A))) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_k1_zfmisc_1,axiom,
% 0.20/0.69      $true ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_l1_pre_topc,axiom,
% 0.20/0.69      ! [A] :
% 0.20/0.69        ( top_str(A)
% 0.20/0.69       => one_sorted_str(A) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_m1_subset_1,axiom,
% 0.20/0.69      $true ).
% 0.20/0.69  
% 0.20/0.69  fof(dt_u1_struct_0,axiom,
% 0.20/0.69      $true ).
% 0.20/0.69  
% 0.20/0.69  fof(rc1_tops_1,axiom,
% 0.20/0.69      ! [A] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A) )
% 0.20/0.69       => ? [B] :
% 0.20/0.69            ( element(B,powerset(the_carrier(A)))
% 0.20/0.69            & open_subset(B,A) ) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(t3_subset,axiom,
% 0.20/0.69      ! [A,B] :
% 0.20/0.69        ( element(A,powerset(B))
% 0.20/0.69      <=> subset(A,B) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(d1_tops_1,axiom,
% 0.20/0.69      ! [A] :
% 0.20/0.69        ( top_str(A)
% 0.20/0.69       => ! [B] :
% 0.20/0.69            ( element(B,powerset(the_carrier(A)))
% 0.20/0.69           => interior(A,B) = subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))) ) ) ).
% 0.20/0.69  
% 0.20/0.69  fof(t51_tops_1,conjecture,
% 0.20/0.69      ! [A] :
% 0.20/0.69        ( ( topological_space(A)
% 0.20/0.69          & top_str(A) )
% 0.20/0.69       => ! [B] :
% 0.20/0.69            ( element(B,powerset(the_carrier(A)))
% 0.20/0.69           => open_subset(interior(A,B),A) ) ) ).
% 0.20/0.69  
% 0.20/0.69  %------------------------------------------------------------------------------
% 0.20/0.69  %-------------------------------------------
% 0.20/0.69  % Proof found
% 0.20/0.69  % SZS status Theorem for theBenchmark
% 0.20/0.69  % SZS output start Proof
% 0.20/0.69  %ClaNum:48(EqnAxiom:25)
% 0.20/0.69  %VarNum:87(SingletonVarNum:27)
% 0.20/0.69  %MaxLitNum:5
% 0.20/0.69  %MaxfuncDepth:4
% 0.20/0.69  %SharedTerms:13
% 0.20/0.69  %goalClause: 26 28 32 33
% 0.20/0.69  %singleGoalClaCount:4
% 0.20/0.69  [26]P1(a1)
% 0.20/0.69  [27]P2(a2)
% 0.20/0.69  [28]P2(a1)
% 0.20/0.69  [29]P3(a3)
% 0.20/0.69  [33]~P7(f10(a1,a7),a1)
% 0.20/0.69  [32]P4(a7,f9(f8(a1)))
% 0.20/0.69  [30]P6(x301,x301)
% 0.20/0.69  [31]P4(f5(x311),x311)
% 0.20/0.69  [34]~P2(x341)+P3(x341)
% 0.20/0.69  [37]~P6(x371,x372)+P4(x371,f9(x372))
% 0.20/0.69  [38]P6(x381,x382)+~P4(x381,f9(x382))
% 0.20/0.69  [42]~P4(x422,f9(x421))+P4(f11(x421,x422),f9(x421))
% 0.20/0.69  [41]~P4(x412,f9(x411))+E(f11(x411,f11(x411,x412)),x412)
% 0.20/0.69  [35]~P1(x351)+~P2(x351)+P5(f4(x351),x351)
% 0.20/0.69  [36]~P1(x361)+~P2(x361)+P7(f6(x361),x361)
% 0.20/0.69  [39]~P1(x391)+~P2(x391)+P4(f4(x391),f9(f8(x391)))
% 0.20/0.69  [40]~P1(x401)+~P2(x401)+P4(f6(x401),f9(f8(x401)))
% 0.20/0.69  [44]~P2(x441)+~P4(x442,f9(f8(x441)))+P4(f12(x441,x442),f9(f8(x441)))
% 0.20/0.69  [45]~P2(x451)+~P4(x452,f9(f8(x451)))+P4(f10(x451,x452),f9(f8(x451)))
% 0.20/0.69  [48]~P2(x481)+~P4(x482,f9(f8(x481)))+E(f11(f8(x481),f12(x481,f11(f8(x481),x482))),f10(x481,x482))
% 0.20/0.69  [43]~P1(x431)+~P2(x431)+P5(f12(x431,x432),x431)+~P4(x432,f9(f8(x431)))
% 0.20/0.69  [46]~P1(x461)+~P2(x461)+~P7(x462,x461)+~P4(x462,f9(f8(x461)))+P5(f11(f8(x461),x462),x461)
% 0.20/0.69  [47]~P1(x471)+~P2(x471)+~P5(x472,x471)+~P4(x472,f9(f8(x471)))+P7(f11(f8(x471),x472),x471)
% 0.20/0.69  %EqnAxiom
% 0.20/0.69  [1]E(x11,x11)
% 0.20/0.69  [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.69  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.69  [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.20/0.69  [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.20/0.69  [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.20/0.69  [7]~E(x71,x72)+E(f10(x71,x73),f10(x72,x73))
% 0.20/0.69  [8]~E(x81,x82)+E(f10(x83,x81),f10(x83,x82))
% 0.20/0.69  [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 0.20/0.69  [10]~E(x101,x102)+E(f6(x101),f6(x102))
% 0.20/0.69  [11]~E(x111,x112)+E(f11(x111,x113),f11(x112,x113))
% 0.20/0.69  [12]~E(x121,x122)+E(f11(x123,x121),f11(x123,x122))
% 0.20/0.69  [13]~E(x131,x132)+E(f12(x131,x133),f12(x132,x133))
% 0.20/0.69  [14]~E(x141,x142)+E(f12(x143,x141),f12(x143,x142))
% 0.20/0.69  [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 0.20/0.69  [16]~P2(x161)+P2(x162)+~E(x161,x162)
% 0.20/0.69  [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 0.20/0.69  [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 0.20/0.69  [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 0.20/0.69  [20]P6(x202,x203)+~E(x201,x202)+~P6(x201,x203)
% 0.20/0.69  [21]P6(x213,x212)+~E(x211,x212)+~P6(x213,x211)
% 0.20/0.69  [22]P5(x222,x223)+~E(x221,x222)+~P5(x221,x223)
% 0.20/0.69  [23]P5(x233,x232)+~E(x231,x232)+~P5(x233,x231)
% 0.20/0.69  [24]P7(x242,x243)+~E(x241,x242)+~P7(x241,x243)
% 0.20/0.69  [25]P7(x253,x252)+~E(x251,x252)+~P7(x253,x251)
% 0.20/0.69  
% 0.20/0.69  %-------------------------------------------
% 0.20/0.69  cnf(49,plain,
% 0.20/0.69     (P6(a7,f8(a1))),
% 0.20/0.69     inference(scs_inference,[],[32,38])).
% 0.20/0.69  cnf(50,plain,
% 0.20/0.70     (P5(f12(a1,a7),a1)),
% 0.20/0.70     inference(scs_inference,[],[26,28,32,38,43])).
% 0.20/0.70  cnf(53,plain,
% 0.20/0.70     (P4(x531,f9(x531))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,32,38,43,34,37])).
% 0.20/0.70  cnf(55,plain,
% 0.20/0.70     (P4(f11(f8(a1),a7),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,32,38,43,34,37,42])).
% 0.20/0.70  cnf(57,plain,
% 0.20/0.70     (E(f11(f8(a1),f11(f8(a1),a7)),a7)),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,32,38,43,34,37,42,41])).
% 0.20/0.70  cnf(60,plain,
% 0.20/0.70     (P7(f6(a1),a1)),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36])).
% 0.20/0.70  cnf(62,plain,
% 0.20/0.70     (P5(f4(a1),a1)),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35])).
% 0.20/0.70  cnf(64,plain,
% 0.20/0.70     (P4(f6(a1),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35,40])).
% 0.20/0.70  cnf(66,plain,
% 0.20/0.70     (P4(f4(a1),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35,40,39])).
% 0.20/0.70  cnf(70,plain,
% 0.20/0.70     (P4(f12(a1,a7),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35,40,39,45,44])).
% 0.20/0.70  cnf(72,plain,
% 0.20/0.70     (E(f11(f8(a1),f12(a1,f11(f8(a1),a7))),f10(a1,a7))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35,40,39,45,44,48])).
% 0.20/0.70  cnf(74,plain,
% 0.20/0.70     (E(a7,f11(f8(a1),f11(f8(a1),a7)))),
% 0.20/0.70     inference(scs_inference,[],[26,30,28,33,32,38,43,34,37,42,41,25,36,35,40,39,45,44,48,2])).
% 0.20/0.70  cnf(92,plain,
% 0.20/0.70     (E(f12(x921,a7),f12(x921,f11(f8(a1),f11(f8(a1),a7))))),
% 0.20/0.70     inference(scs_inference,[],[74,14])).
% 0.20/0.70  cnf(94,plain,
% 0.20/0.70     (E(f11(x941,a7),f11(x941,f11(f8(a1),f11(f8(a1),a7))))),
% 0.20/0.70     inference(scs_inference,[],[74,14,13,12])).
% 0.20/0.70  cnf(98,plain,
% 0.20/0.70     (E(f10(x981,a7),f10(x981,f11(f8(a1),f11(f8(a1),a7))))),
% 0.20/0.70     inference(scs_inference,[],[74,14,13,12,11,10,9,8])).
% 0.20/0.70  cnf(104,plain,
% 0.20/0.70     (P4(f5(x1041),x1041)),
% 0.20/0.70     inference(rename_variables,[],[31])).
% 0.20/0.70  cnf(110,plain,
% 0.20/0.70     (P4(f5(x1101),x1101)),
% 0.20/0.70     inference(rename_variables,[],[31])).
% 0.20/0.70  cnf(112,plain,
% 0.20/0.70     (P7(f11(f8(a1),f12(a1,a7)),a1)),
% 0.20/0.70     inference(scs_inference,[],[26,27,31,104,28,53,70,74,50,14,13,12,11,10,9,8,7,6,5,4,45,22,18,44,47])).
% 0.20/0.70  cnf(117,plain,
% 0.20/0.70     (P6(f11(f8(a1),f12(a1,f11(f8(a1),a7))),f10(a1,a7))),
% 0.20/0.70     inference(scs_inference,[],[26,27,33,31,104,30,28,53,72,70,64,74,50,60,14,13,12,11,10,9,8,7,6,5,4,45,22,18,44,47,46,24,21])).
% 0.20/0.70  cnf(122,plain,
% 0.20/0.70     (~E(f10(a1,a7),f6(a1))),
% 0.20/0.70     inference(scs_inference,[],[26,27,29,33,31,104,110,30,28,53,72,70,64,74,49,50,60,14,13,12,11,10,9,8,7,6,5,4,45,22,18,44,47,46,24,21,20,17,19,2])).
% 0.20/0.70  cnf(123,plain,
% 0.20/0.70     (~E(f6(a1),f11(f8(a1),f12(a1,f11(f8(a1),a7))))),
% 0.20/0.70     inference(scs_inference,[],[26,27,29,33,31,104,110,30,28,53,72,70,64,74,49,50,60,14,13,12,11,10,9,8,7,6,5,4,45,22,18,44,47,46,24,21,20,17,19,2,3])).
% 0.20/0.70  cnf(132,plain,
% 0.20/0.70     (P7(f11(f8(a1),f4(a1)),a1)),
% 0.20/0.70     inference(scs_inference,[],[28,66,92,62,26,2,47])).
% 0.20/0.70  cnf(134,plain,
% 0.20/0.70     (~P7(f11(f8(a1),f12(a1,f11(f8(a1),a7))),a1)),
% 0.20/0.70     inference(scs_inference,[],[28,33,66,92,62,72,26,2,47,24])).
% 0.20/0.70  cnf(147,plain,
% 0.20/0.70     (~E(f11(f8(a1),f4(a1)),f10(a1,a7))),
% 0.20/0.70     inference(scs_inference,[],[33,123,98,122,132,26,2,3,15,24])).
% 0.20/0.70  cnf(157,plain,
% 0.20/0.70     (~E(f11(f8(a1),f12(a1,a7)),f11(f8(a1),f12(a1,f11(f8(a1),a7))))),
% 0.20/0.70     inference(scs_inference,[],[94,134,112,2,24])).
% 0.20/0.70  cnf(162,plain,
% 0.20/0.70     (P4(f5(x1621),x1621)),
% 0.20/0.70     inference(rename_variables,[],[31])).
% 0.20/0.70  cnf(165,plain,
% 0.20/0.70     (P4(f5(x1651),x1651)),
% 0.20/0.70     inference(rename_variables,[],[31])).
% 0.20/0.70  cnf(176,plain,
% 0.20/0.70     (~P5(f12(a1,f11(f8(a1),a7)),a1)+~P4(f12(a1,f11(f8(a1),a7)),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[27,31,162,165,117,147,94,134,112,72,26,28,2,24,3,34,42,41,38,37,12,15,14,16,47])).
% 0.20/0.70  cnf(192,plain,
% 0.20/0.70     (P4(f12(a1,f11(f8(a1),a7)),f9(f8(a1)))),
% 0.20/0.70     inference(scs_inference,[],[157,55,57,28,2,10,9,7,45,13,11,8,6,5,4,44])).
% 0.20/0.70  cnf(208,plain,
% 0.20/0.70     (~P5(f12(a1,f11(f8(a1),a7)),a1)),
% 0.20/0.70     inference(scs_inference,[],[192,176])).
% 0.20/0.70  cnf(235,plain,
% 0.20/0.70     ($false),
% 0.20/0.70     inference(scs_inference,[],[208,55,26,28,43]),
% 0.20/0.70     ['proof']).
% 0.20/0.70  % SZS output end Proof
% 0.20/0.70  % Total time :0.080000s
%------------------------------------------------------------------------------