%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : ANA041-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 May 20 18:39:07 EDT 2024

% Result   : Unsatisfiable 2.32s 1.51s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   29 (   4   ~;   0   |;   0   &;  25   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   6 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(c_0_type,type,
    c_0: $i ).

thf(v_h_type,type,
    v_h: $i > $i > $i ).

thf(t_c_type,type,
    t_c: $i ).

thf(v_xa_type,type,
    v_xa: $i ).

thf(v_xb_type,type,
    v_xb: $i ).

thf(2,negated_conjecture,
    ~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(4,plain,
    ~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(1,negated_conjecture,
    ! [B: $i,A: $i] : ( c_lessequals @ c_0 @ ( v_h @ A @ B ) @ t_c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(3,plain,
    ! [B: $i,A: $i] : ( c_lessequals @ c_0 @ ( v_h @ A @ B ) @ t_c ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(6,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[5,3]) ).

thf(7,plain,
    $false,
    inference(simp,[status(thm)],[6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA041-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon May 20 08:01:39 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.95/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.13/0.96  % [INFO] 	 Parsing done (92ms). 
% 1.13/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.63/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.63/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.79/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.86/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.86/1.26  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.86/1.26  % [INFO] 	 Type checking passed. 
% 1.86/1.27  % [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 ... 
% 2.32/1.51  % [INFO] 	 Killing All external provers ... 
% 2.32/1.51  % Time passed: 976ms (effective reasoning time: 534ms)
% 2.32/1.51  % Axioms used in derivation (0): 
% 2.32/1.51  % No. of inferences in proof: 7
% 2.32/1.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 976 ms resp. 534 ms w/o parsing
% 2.70/1.57  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.57  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------