%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO119^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n021.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  : 600s
% DateTime : Thu Jul 21 17:32:16 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  11 unt;   2 typ;   0 def)
%            Number of atoms       :   35 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   18 (   2   ~;   0   |;   0   &;  13   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $i ).

thf(tp_cP,type,
    cP: $i > $o ).

thf(1,conjecture,
    ( ! [Xx: $i] : ( cP @ Xx )
   => ( cP @ a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXX1) ).

thf(2,negated_conjecture,
    ( ( ! [Xx: $i] : ( cP @ Xx )
     => ( cP @ a ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [Xx: $i] : ( cP @ Xx )
     => ( cP @ a ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [Xx: $i] : ( cP @ Xx ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( cP @ a )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ~ ( cP @ a ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [Xx: $i] : ( cP @ Xx ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(8,plain,
    ( ( ~ ( cP @ a ) )
    = $true ),
    inference(copy,[status(thm)],[6]) ).

thf(9,plain,
    ! [SV1: $i] :
      ( ( cP @ SV1 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7]) ).

thf(10,plain,
    ( ( cP @ a )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8]) ).

thf(11,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[9,10]) ).

thf(12,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO119^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n021.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  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 14:38:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 0
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (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)
% 0.13/0.37  ********************************
% 0.13/0.37  *   All subproblems solved!    *
% 0.13/0.37  ********************************
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:11,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37  
% 0.13/0.37  %**** Beginning of derivation protocol ****
% 0.13/0.37  % SZS output start CNFRefutation
% See solution above
% 0.13/0.37  
% 0.13/0.37  %**** End of derivation protocol ****
% 0.13/0.37  %**** no. of clauses in derivation: 12 ****
% 0.13/0.37  %**** clause counter: 11 ****
% 0.13/0.37  
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:11,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------