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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR028+4 : TPTP v9.3.1. Released v3.4.0.
% 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 : n018.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 07:00:07 AM UTC 2026

% Result   : Theorem 91.66s 56.83s
% Output   : Refutation 91.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (   4   ~;   0   |;   1   &;  11   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

thf(c_tptp_member2089_mt_decl,type,
    c_tptp_member2089_mt: $i ).

thf(individual_decl,type,
    individual: $i > $o ).

thf(c_tptptptpcol_16_25985_decl,type,
    c_tptptptpcol_16_25985: $i ).

thf(1359,axiom,
    c_tptptptpcol_16_25985 @ individual,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_20281) ).

thf(4525,plain,
    c_tptptptpcol_16_25985 @ individual,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1359]) ).

thf(1,conjecture,
    ( ( c_tptp_member2089_mt @ mtvisible )
   => ( c_tptptptpcol_16_25985 @ individual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query178) ).

thf(2,negated_conjecture,
    ~ ( ( c_tptp_member2089_mt @ mtvisible )
     => ( c_tptptptpcol_16_25985 @ individual ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(1939,plain,
    ~ ( ( c_tptp_member2089_mt @ mtvisible )
     => ( c_tptptptpcol_16_25985 @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1940,plain,
    ( ~ ( c_tptptptpcol_16_25985 @ individual )
    & ( c_tptp_member2089_mt @ mtvisible ) ),
    inference(cnf,[status(esa)],[1939]) ).

thf(1942,plain,
    ~ ( c_tptptptpcol_16_25985 @ individual ),
    inference(cnfConj,[status(thm)],[1940]) ).

thf(6012,plain,
    $false,
    inference(rewrite,[status(thm)],[4525,1942]) ).

thf(6013,plain,
    $false,
    inference(simp,[status(thm)],[6012]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR028+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % 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
% 0.13/0.40  % Computer : n018.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 00:01:06 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  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
% 0.71/0.71  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 5.99/2.59  % [INFO] 	 Parsing done (1874ms). 
% 6.15/2.63  % [INFO] 	 Running in sequential loop mode. 
% 6.98/3.04  % [INFO] 	 eprover registered as external prover. 
% 6.98/3.04  % [INFO] 	 Scanning for conjecture ... 
% 10.85/4.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 44216 axioms. Running axiom selection ... 
% 52.65/43.78  % [INFO] 	 Axiom selection finished. Selected 1936 axioms (removed 42280 axioms). 
% 53.69/44.18  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 53.92/44.22  % [INFO] 	 Type checking passed. 
% 53.92/44.22  % [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 ... 
% 91.66/56.82  % [INFO] 	 Killing All external provers ... 
% 91.66/56.83  % Time passed: 56319ms (effective reasoning time: 54182ms)
% 91.66/56.83  % 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)>
% 91.66/56.83  % Axioms used in derivation (1): ax3_20281
% 91.66/56.83  % No. of inferences in proof: 9
% 91.66/56.83  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 56319 ms resp. 54182 ms w/o parsing
% 91.66/56.85  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 91.66/56.85  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------