TSTP Solution File: CSR035+1 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.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 : Tue May  7 10:28:33 EDT 2024

% Result   : Theorem 3.77s 1.99s
% Output   : Refutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   62 (   6   ~;   2   |;   0   &;  48   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   7 con; 0-3 aty)
%            Number of variables   :    5 (   0   ^   1   !;   4   ?;   5   :)

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

thf(c_englishmt_type,type,
    c_englishmt: $i ).

thf(prettystring_type,type,
    prettystring: $i > $i > $o ).

thf(f_instancewithrelationtofn_type,type,
    f_instancewithrelationtofn: $i > $i > $i > $i ).

thf(c_footballteam_type,type,
    c_footballteam: $i ).

thf(c_affiliatedwith_type,type,
    c_affiliatedwith: $i ).

thf(c_beloitcollege_type,type,
    c_beloitcollege: $i ).

thf(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege_type,type,
    s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i ).

thf(20,axiom,
    ( ( mtvisible @ c_englishmt )
   => ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

thf(66,plain,
    ( ( mtvisible @ c_englishmt )
   => ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(67,plain,
    ( ~ ( mtvisible @ c_englishmt )
    | ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
    inference(cnf,[status(esa)],[66]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( mtvisible @ c_englishmt )
     => ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query35) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( mtvisible @ c_englishmt )
       => ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(25,plain,
    ~ ? [A: $i] :
        ( ( mtvisible @ c_englishmt )
       => ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(26,plain,
    ~ ( ( mtvisible @ c_englishmt )
     => ? [A: $i] : ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ) ),
    inference(miniscope,[status(thm)],[25]) ).

thf(27,plain,
    ! [A: $i] :
      ~ ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ A ),
    inference(cnf,[status(esa)],[26]) ).

thf(28,plain,
    mtvisible @ c_englishmt,
    inference(cnf,[status(esa)],[26]) ).

thf(107,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[67,27,28]) ).

thf(108,plain,
    $false,
    inference(simp,[status(thm)],[107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Mon May  6 23:23:24 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.96/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/1.01  % [INFO] 	 Parsing done (135ms). 
% 1.20/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.75/1.24  % [INFO] 	 nitpick registered as external prover. 
% 1.75/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.99/1.31  % [INFO] 	 Found a conjecture and 38 axioms. Running axiom selection ... 
% 2.10/1.36  % [INFO] 	 Axiom selection finished. Selected 22 axioms (removed 16 axioms). 
% 2.10/1.39  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.10/1.40  % [INFO] 	 Type checking passed. 
% 2.10/1.40  % [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 ... 
% 3.77/1.98  % [INFO] 	 Killing All external provers ... 
% 3.77/1.99  % Time passed: 1449ms (effective reasoning time: 966ms)
% 3.77/1.99  % 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)>
% 3.77/1.99  % Axioms used in derivation (1): just1
% 3.77/1.99  % No. of inferences in proof: 11
% 3.77/1.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1449 ms resp. 966 ms w/o parsing
% 3.77/2.01  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.77/2.01  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------