TSTP Solution File: SWB003+2 by LEO-II---1.7.0

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%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB003+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n017.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 : Tue Jul 19 19:13:07 EDT 2022

% Result   : Theorem 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  13 unt;   5 typ;   0 def)
%            Number of atoms       :   33 (  10 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   40 (   4   ~;   0   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^   4   !;   4   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_dat_str_foo,type,
    dat_str_foo: $i ).

thf(tp_iext,type,
    iext: $i > $i > $i > $o ).

thf(tp_literal_plain,type,
    literal_plain: $i > $i ).

thf(tp_uri_ex_p,type,
    uri_ex_p: $i ).

thf(tp_uri_ex_s,type,
    uri_ex_s: $i ).

thf(1,axiom,
    iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).

thf(2,conjecture,
    ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).

thf(3,negated_conjecture,
    ( ( ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[2]) ).

thf(4,plain,
    ( ( ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
    = $false ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(5,plain,
    ( ( iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(6,plain,
    ( ( ~ ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(7,plain,
    ( ( ! [BNODE_x: $i] :
          ~ ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(8,plain,
    ( ( iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(9,plain,
    ( ( ! [BNODE_x: $i] :
          ~ ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(10,plain,
    ! [SV1: $i] :
      ( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: $i] :
      ( ( iext @ uri_ex_p @ uri_ex_s @ SV1 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10]) ).

thf(12,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[8,11]) ).

thf(13,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB003+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun  1 08:55:11 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35   No.of.Axioms: 1
% 0.14/0.35  
% 0.14/0.35   Length.of.Defs: 0
% 0.14/0.35  
% 0.14/0.35   Contains.Choice.Funs: false
% 0.14/0.35  (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.21/0.37  ********************************
% 0.21/0.37  *   All subproblems solved!    *
% 0.21/0.37  ********************************
% 0.21/0.37  % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.37  
% 0.21/0.37  %**** Beginning of derivation protocol ****
% 0.21/0.37  % SZS output start CNFRefutation
% See solution above
% 0.21/0.37  
% 0.21/0.37  %**** End of derivation protocol ****
% 0.21/0.37  %**** no. of clauses in derivation: 13 ****
% 0.21/0.37  %**** clause counter: 12 ****
% 0.21/0.37  
% 0.21/0.37  % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------