TSTP Solution File: SWV371+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV371+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9oiioyTEvf true

% Computer : n014.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 Sep  1 00:09:26 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   27 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  196 (  12   ~;   6   |;   1   &; 172   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pi_sharp_find_min_type,type,
    pi_sharp_find_min: $i > $i > $o ).

thf(findmin_cpq_res_type,type,
    findmin_cpq_res: $i > $i ).

thf(contains_pq_type,type,
    contains_pq: $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(issmallestelement_pq_type,type,
    issmallestelement_pq: $i > $i > $o ).

thf(i_type,type,
    i: $i > $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(phi_type,type,
    phi: $i > $o ).

thf(findmin_cpq_eff_type,type,
    findmin_cpq_eff: $i > $i ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(l7_lX,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( issmallestelement_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( issmallestelement_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_lX]) ).

thf(l7_l8,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_l8]) ).

thf(ax58,axiom,
    ! [U: $i,V: $i] :
      ( ( pi_sharp_find_min @ U @ V )
    <=> ( ( contains_pq @ U @ V )
        & ( issmallestelement_pq @ U @ V ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( pi_sharp_find_min @ X0 @ X1 )
      | ~ ( issmallestelement_pq @ X0 @ X1 )
      | ~ ( contains_pq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(l7_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
       => ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[l7_co]) ).

thf(zip_derived_cl89,plain,
    ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ~ ( contains_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) )
    | ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl89]) ).

thf(zip_derived_cl562,plain,
    ( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) )
    | ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl450]) ).

thf(zip_derived_cl88,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl562,zip_derived_cl88]) ).

thf(zip_derived_cl575,plain,
    ~ ( phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl568]) ).

thf(zip_derived_cl88_001,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl575,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV371+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9oiioyTEvf true
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 02:57:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % Solved by fo/fo6_bce.sh.
% 0.21/0.78  % BCE start: 90
% 0.21/0.78  % BCE eliminated: 0
% 0.21/0.78  % PE start: 90
% 0.21/0.78  logic: eq
% 0.21/0.78  % PE eliminated: 15
% 0.21/0.78  % done 108 iterations in 0.060s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.42/0.85  % Runner terminated.
% 1.42/0.86  % Zipperpin 1.5 exiting
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