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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB003+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n013.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 08:50:27 AM UTC 2026

% Result   : Theorem 3.19s 2.13s
% Output   : Refutation 3.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   19 (   2   ~;   0   |;   0   &;  17   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :    3 (   0   ^;   0   !;   3   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iext_decl,type,
    iext: $i > $i > $i > $o ).

thf(uri_ex_p_decl,type,
    uri_ex_p: $i ).

thf(uri_ex_s_decl,type,
    uri_ex_s: $i ).

thf(literal_plain_decl,type,
    literal_plain: $i > $i ).

thf(dat_str_foo_decl,type,
    dat_str_foo: $i ).

thf(1,conjecture,
    ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).

thf(6,plain,
    dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(7,plain,
    $false,
    inference(e,[status(thm)],[4,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB003+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38  % Computer : n013.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sat Sep 26 11:38:21 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/0.98  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.29/1.15  % [INFO] 	 Parsing done (172ms). 
% 1.29/1.17  % [INFO] 	 Running in sequential loop mode. 
% 1.82/1.56  % [INFO] 	 eprover registered as external prover. 
% 1.82/1.57  % [INFO] 	 Scanning for conjecture ... 
% 2.03/1.66  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 2.19/1.70  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 2.19/1.70  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.19/1.71  % [INFO] 	 Type checking passed. 
% 2.19/1.72  % [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 ... 
% 2.92/2.13  % External prover 'e' found a proof!
% 2.92/2.13  % [INFO] 	 Killing All external provers ... 
% 3.19/2.13  % Time passed: 1602ms (effective reasoning time: 960ms)
% 3.19/2.13  % 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)>
% 3.19/2.13  % Axioms used in derivation (1): testcase_premise_fullish_003_Blank_Nodes_for_Literals
% 3.19/2.13  % No. of inferences in proof: 6
% 3.19/2.13  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1602 ms resp. 960 ms w/o parsing
% 3.19/2.17  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.19/2.17  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------