TSTP Solution File: SEV079^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV079^5 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n021.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Jan 18 14:55:01 EST 2017

% Result   : Theorem 0.03s
% Output   : CNFRefutation 0.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  15 unt;   3 typ;   0 def)
%            Number of atoms       :   56 (  40 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   14 (   2   ~;   0   |;   6   &;   0   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_X,type,
    sK1_X: $i ).

thf(tp_sK2_SY3,type,
    sK2_SY3: $i ).

thf(tp_sK3_SY5,type,
    sK3_SY5: $i ).

thf(1,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( X = Y )
        & ( Y = Z ) )
     => ( X = Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRANS_ID_pme) ).

thf(2,negated_conjecture,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( X = Y )
            & ( Y = Z ) )
         => ( X = Z ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( X = Y )
            & ( Y = Z ) )
         => ( X = Z ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY3: $i,SY4: $i] :
          ( ( ( sK1_X = SY3 )
            & ( SY3 = SY4 ) )
         => ( sK1_X = SY4 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY5: $i] :
          ( ( ( sK1_X = sK2_SY3 )
            & ( sK2_SY3 = SY5 ) )
         => ( sK1_X = SY5 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ( ( sK1_X = sK2_SY3 )
        & ( sK2_SY3 = sK3_SY5 ) )
     => ( sK1_X = sK3_SY5 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( sK1_X = sK2_SY3 )
    = $true ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(8,plain,
    ( ( sK2_SY3 = sK3_SY5 )
    = $true ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(9,plain,
    ( ( sK1_X = sK3_SY5 )
    = $false ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(10,plain,
    ( ( ( sK1_X != sK3_SY5 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(11,plain,
    ( ( sK2_SY3 = sK3_SY5 )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(12,plain,
    ( ( sK1_X = sK2_SY3 )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(13,plain,
    ( ( ( sK1_X != sK3_SY5 ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(14,plain,
    ( ( sK1_X = sK3_SY5 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(15,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[11,14,12]) ).

thf(16,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV079^5 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.03/0.23  % Computer : n021.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Sun Jan 15 23:53:03 CST 2017
% 0.03/0.23  % CPUTime  : 
% 0.03/0.23  
% 0.03/0.23   No.of.Axioms: 0
% 0.03/0.23  
% 0.03/0.23   Length.of.Defs: 0
% 0.03/0.23  
% 0.03/0.23   Contains.Choice.Funs: false
% 0.03/0.23  (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.03/0.25  ********************************
% 0.03/0.25  *   All subproblems solved!    *
% 0.03/0.25  ********************************
% 0.03/0.25  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:15,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.03/0.25  
% 0.03/0.25  %**** Beginning of derivation protocol ****
% 0.03/0.25  % SZS output start CNFRefutation
% See solution above
% 0.03/0.25  % SZS output end CNFRefutation
% 0.03/0.25  
% 0.03/0.25  %**** End of derivation protocol ****
% 0.03/0.25  %**** no. of clauses in derivation: 16 ****
% 0.03/0.25  %**** clause counter: 15 ****
% 0.03/0.25  
% 0.03/0.25  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:15,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------