%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV225^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n025.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  : 300s
% DateTime : Mon Jun 24 15:59:47 EDT 2024

% Result   : Theorem 2.41s 1.50s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   1 def)
%            Number of atoms       :   22 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  11   ~;   0   |;   4   &;  20   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r_type,type,
    r: $tType ).

thf(c0_type,type,
    c0: r ).

thf(less_type,type,
    less: r > r > $o ).

thf(cIRREFLEXIVE_LAW_type,type,
    cIRREFLEXIVE_LAW: $o ).

thf(cIRREFLEXIVE_LAW_def,definition,
    ( cIRREFLEXIVE_LAW
    = ( ! [A: r] :
          ~ ( less @ A @ A ) ) ) ).

thf(sk1_type,type,
    sk1: r ).

thf(1,conjecture,
    ( cIRREFLEXIVE_LAW
   => ! [A: r] :
        ~ ( ( less @ A @ c0 )
          & ( A = c0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPARNAS_FIG3_A) ).

thf(2,negated_conjecture,
    ~ ( cIRREFLEXIVE_LAW
     => ! [A: r] :
          ~ ( ( less @ A @ c0 )
            & ( A = c0 ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: r] :
          ~ ( less @ A @ A )
     => ! [A: r] :
          ~ ( ( less @ A @ c0 )
            & ( A = c0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ( ~ ? [A: r] : ( less @ A @ A )
     => ~ ? [A: r] :
            ( ( less @ A @ c0 )
            & ( A = c0 ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(6,plain,
    less @ sk1 @ c0,
    inference(cnf,[status(esa)],[4]) ).

thf(5,plain,
    sk1 = c0,
    inference(cnf,[status(esa)],[4]) ).

thf(8,plain,
    sk1 = c0,
    inference(lifteq,[status(thm)],[5]) ).

thf(9,plain,
    less @ c0 @ c0,
    inference(rewrite,[status(thm)],[6,8]) ).

thf(7,plain,
    ! [A: r] :
      ~ ( less @ A @ A ),
    inference(cnf,[status(esa)],[4]) ).

thf(10,plain,
    $false,
    inference(rewrite,[status(thm)],[9,7]) ).

thf(11,plain,
    $false,
    inference(simp,[status(thm)],[10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV225^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.03/0.12  % Command  : run_Leo-III %s %d SAT
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jun 21 18:56:40 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.95/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.24/0.97  % [INFO] 	 Parsing done (103ms). 
% 1.24/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.57/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.67/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.82/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.82/1.27  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.82/1.27  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.82/1.27  % [INFO] 	 Type checking passed. 
% 1.82/1.27  % [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 ... 
% 2.33/1.49  % [INFO] 	 Killing All external provers ... 
% 2.41/1.50  % Time passed: 967ms (effective reasoning time: 512ms)
% 2.41/1.50  % 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)>
% 2.41/1.50  % Axioms used in derivation (0): 
% 2.41/1.50  % No. of inferences in proof: 11
% 2.41/1.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 967 ms resp. 512 ms w/o parsing
% 2.41/1.54  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.41/1.54  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------