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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR051+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:14:14 AM UTC 2026

% Result   : Theorem 0.09s 0.25s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :   84 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   71 (  17   ~;   8   |;   0   &;  38   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;   6   !;   5   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_binarypredicate,type,
    binarypredicate: $i > $o ).

thf(tp_c_basekb,type,
    c_basekb: $i ).

thf(tp_c_marriagelicensedocument,type,
    c_marriagelicensedocument: $i ).

thf(tp_c_tptp_member3356_mt,type,
    c_tptp_member3356_mt: $i ).

thf(tp_c_tptpmarriagelicensedocument,type,
    c_tptpmarriagelicensedocument: $i ).

thf(tp_collection,type,
    collection: $i > $o ).

thf(tp_disjointwith,type,
    disjointwith: $i > $i > $o ).

thf(tp_genlinverse,type,
    genlinverse: $i > $i > $o ).

thf(tp_genlpreds,type,
    genlpreds: $i > $i > $o ).

thf(tp_genls,type,
    genls: $i > $i > $o ).

thf(tp_isa,type,
    isa: $i > $i > $o ).

thf(tp_marriagelicensedocument,type,
    marriagelicensedocument: $i > $o ).

thf(tp_mtvisible,type,
    mtvisible: $i > $o ).

thf(tp_predicate,type,
    predicate: $i > $o ).

thf(tp_thing,type,
    thing: $i > $o ).

thf(8,axiom,
    mtvisible @ c_basekb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

thf(27,axiom,
    ( ( mtvisible @ c_tptp_member3356_mt )
   => ( marriagelicensedocument @ c_tptpmarriagelicensedocument ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

thf(28,conjecture,
    ? [X: $i] :
      ( ( mtvisible @ c_tptp_member3356_mt )
     => ( marriagelicensedocument @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query51) ).

thf(29,negated_conjecture,
    ( ( ? [X: $i] :
          ( ( mtvisible @ c_tptp_member3356_mt )
         => ( marriagelicensedocument @ X ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[28]) ).

thf(30,plain,
    ( ( ? [X: $i] :
          ( ( mtvisible @ c_tptp_member3356_mt )
         => ( marriagelicensedocument @ X ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(31,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(32,plain,
    ( ( ( mtvisible @ c_tptp_member3356_mt )
     => ( marriagelicensedocument @ c_tptpmarriagelicensedocument ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(33,plain,
    ( ( ~ ? [X: $i] :
            ( ( mtvisible @ c_tptp_member3356_mt )
           => ( marriagelicensedocument @ X ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[30]) ).

thf(34,plain,
    ( ( ( mtvisible @ c_tptp_member3356_mt )
     => ( marriagelicensedocument @ c_tptpmarriagelicensedocument ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(35,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(36,plain,
    ( ( ~ ? [X: $i] :
            ( ( mtvisible @ c_tptp_member3356_mt )
           => ( marriagelicensedocument @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(37,plain,
    ( ( ~ ~ ! [SX0: $i] :
              ~ ( ~ ( mtvisible @ c_tptp_member3356_mt )
                | ( marriagelicensedocument @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(38,plain,
    ( ( ~ ( mtvisible @ c_tptp_member3356_mt )
      | ( marriagelicensedocument @ c_tptpmarriagelicensedocument ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(39,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( ~ ( mtvisible @ c_tptp_member3356_mt )
              | ( marriagelicensedocument @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(40,plain,
    ( ( ( ~ ( mtvisible @ c_tptp_member3356_mt ) )
      = $true )
    | ( ( marriagelicensedocument @ c_tptpmarriagelicensedocument )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[38]) ).

thf(41,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( mtvisible @ c_tptp_member3356_mt )
            | ( marriagelicensedocument @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(42,plain,
    ( ( ( mtvisible @ c_tptp_member3356_mt )
      = $false )
    | ( ( marriagelicensedocument @ c_tptpmarriagelicensedocument )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(43,plain,
    ! [SV1: $i] :
      ( ( ~ ( ~ ( mtvisible @ c_tptp_member3356_mt )
            | ( marriagelicensedocument @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(44,plain,
    ! [SV1: $i] :
      ( ( ~ ( mtvisible @ c_tptp_member3356_mt )
        | ( marriagelicensedocument @ SV1 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(45,plain,
    ( ( ~ ( mtvisible @ c_tptp_member3356_mt ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(46,plain,
    ! [SV1: $i] :
      ( ( marriagelicensedocument @ SV1 )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(47,plain,
    ( ( mtvisible @ c_tptp_member3356_mt )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(48,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[35,47,46,42]) ).

thf(49,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR051+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19  % Computer : n005.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Oct  6 18:44:14 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25  
% 0.09/0.25   No.of.Axioms: 2
% 0.09/0.25  
% 0.09/0.25   Length.of.Defs: 0
% 0.09/0.25  
% 0.09/0.25   Contains.Choice.Funs: false
% 0.09/0.25  
% 0.09/0.25  ********************************
% 0.09/0.25  *   All subproblems solved!    *
% 0.09/0.25  ********************************
% 0.09/0.25  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:48,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.25  
% 0.09/0.25  %**** Beginning of derivation protocol ****
% 0.09/0.25  % SZS output start CNFRefutation
% See solution above
% 0.09/0.25  
% 0.09/0.25  %**** End of derivation protocol ****
% 0.09/0.25  %**** no. of clauses in derivation: 24 ****
% 0.09/0.25  %**** clause counter: 48 ****
% 0.09/0.25  
% 0.09/0.25  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:48,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------