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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR051+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n012.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 : Sun Sep 27 07:00:45 AM UTC 2026

% Result   : Theorem 2.01s 1.31s
% Output   : Refutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   34 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   73 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  159 (   4   ~;   0   |;  10   &; 116   @)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   59 (   0   ^;  56   !;   3   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
    mtvisible: $i > $o ).

thf(c_tptp_member3356_mt_decl,type,
    c_tptp_member3356_mt: $i ).

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

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

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

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

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

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

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

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

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

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

thf(29,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(16,axiom,
    c_basekb @ mtvisible,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

thf(53,plain,
    c_basekb @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

thf(41,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

thf(39,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( c_tptp_member3356_mt @ mtvisible )
     => ( A @ marriagelicensedocument ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query51) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( c_tptp_member3356_mt @ mtvisible )
       => ( A @ marriagelicensedocument ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(18,plain,
    ~ ? [A: $i] :
        ( ( c_tptp_member3356_mt @ mtvisible )
       => ( A @ marriagelicensedocument ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

thf(23,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( A @ marriagelicensedocument )
     => ( c_marriagelicensedocument @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

thf(51,plain,
    ! [A: $i] :
      ( ( A @ marriagelicensedocument )
     => ( c_marriagelicensedocument @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

thf(47,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).

thf(37,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

thf(25,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

thf(32,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

thf(34,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

thf(44,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

thf(27,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(17,axiom,
    ( ( c_tptp_member3356_mt @ mtvisible )
   => ( c_tptpmarriagelicensedocument @ marriagelicensedocument ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

thf(54,plain,
    ( ( c_tptp_member3356_mt @ mtvisible )
   => ( c_tptpmarriagelicensedocument @ marriagelicensedocument ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( c_marriagelicensedocument @ ( A @ isa ) )
     => ( A @ marriagelicensedocument ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

thf(49,plain,
    ! [A: $i] :
      ( ( c_marriagelicensedocument @ ( A @ isa ) )
     => ( A @ marriagelicensedocument ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(56,plain,
    $false,
    inference(e,[status(thm)],[29,53,41,39,18,23,51,47,37,25,32,34,44,27,54,49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR051+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.05/0.32  % Computer : n012.cluster.edu
% 0.05/0.32  % Model    : x86_64 x86_64
% 0.05/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32  % Memory   : 8046.5625MB
% 0.05/0.32  % OS       : Linux 6.8.0-71-generic
% 0.05/0.32  % CPULimit : 300
% 0.05/0.32  % WCLimit  : 300
% 0.05/0.32  % DateTime : Sun Sep 27 00:18:50 UTC 2026
% 0.05/0.32  % CPUTime  : 
% 0.05/0.32  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.39/0.61  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.67/0.71  % [INFO] 	 Parsing done (98ms). 
% 0.67/0.71  % [INFO] 	 Running in sequential loop mode. 
% 1.05/0.90  % [INFO] 	 eprover registered as external prover. 
% 1.05/0.91  % [INFO] 	 Scanning for conjecture ... 
% 1.05/0.95  % [INFO] 	 Found a conjecture (or negated_conjecture) and 27 axioms. Running axiom selection ... 
% 1.05/0.99  % [INFO] 	 Axiom selection finished. Selected 15 axioms (removed 12 axioms). 
% 1.05/1.00  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.05/1.01  % [INFO] 	 Type checking passed. 
% 1.05/1.01  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 2.01/1.31  % External prover 'e' found a proof!
% 2.01/1.31  % [INFO] 	 Killing All external provers ... 
% 2.01/1.31  % Time passed: 909ms (effective reasoning time: 589ms)
% 2.01/1.31  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.01/1.31  % Axioms used in derivation (15): just16, just27, just19, just1, just24, just18, just2, just21, just17, just26, just15, just23, just22, just25, just20
% 2.01/1.31  % No. of inferences in proof: 34
% 2.01/1.31  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 909 ms resp. 589 ms w/o parsing
% 2.01/1.34  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.01/1.34  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------