TSTP Solution File: NUM626+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NUM626+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.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 : Fri May 19 11:41:30 EDT 2023

% Result   : ContradictoryAxioms 5.18s 2.33s
% Output   : Refutation 5.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    6 (   2 unt;   3 typ;   0 def)
%            Number of atoms       :    4 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   0   ~;   0   |;   1   &;   2   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xP_type,type,
    xP: $i ).

thf(xp_type,type,
    xp: $i ).

thf(98,axiom,
    ( ( aElementOf0 @ xp @ xP )
    & $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5538) ).

thf(569,plain,
    $false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(570,plain,
    $false,
    inference(simp,[status(thm)],[569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM626+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n019.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu May 18 17:45:13 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.96/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.52/1.05  % [INFO] 	 Parsing done (182ms). 
% 1.52/1.06  % [INFO] 	 Running in sequential loop mode. 
% 1.96/1.28  % [INFO] 	 eprover registered as external prover. 
% 1.96/1.28  % [INFO] 	 cvc4 registered as external prover. 
% 1.96/1.28  % [INFO] 	 Scanning for conjecture ... 
% 2.14/1.32  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.14/1.33  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.14/1.34  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.14/1.34  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.14/1.36  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.14/1.36  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.37  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.37  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.38  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.38  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.39  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.34/1.41  % [INFO] 	 Found a conjecture and 121 axioms. Running axiom selection ... 
% 2.70/1.49  % [INFO] 	 Axiom selection finished. Selected 121 axioms (removed 0 axioms). 
% 2.70/1.52  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.54  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.54  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.54  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.55  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.55  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.55  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.55  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.56  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.56  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.57  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.89/1.58  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.89/1.59  % [INFO] 	 Type checking passed. 
% 2.89/1.59  % [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 ... 
% 5.18/2.33  % [INFO] 	 Killing All external provers ... 
% 5.18/2.33  % Time passed: 1799ms (effective reasoning time: 1270ms)
% 5.18/2.33  % Axioms used in derivation (1): m__5538
% 5.18/2.33  % No. of inferences in proof: 3
% 5.18/2.33  % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 1799 ms resp. 1270 ms w/o parsing
% 5.18/2.35  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.18/2.35  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------