↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP107^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e4zvlQiv5O true

% Computer : n007.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 : Thu Oct  2 04:38:51 PM UTC 2025

% Result   : Theorem 0.59s 0.87s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (  14 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  232 (   4   ~;   0   |;   0   &; 228   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    6 (   6 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_Product_prod_a_a_type,type,
    set_Product_prod_a_a: $tType ).

thf(partia539144763t_unit_type,type,
    partia539144763t_unit: $tType ).

thf(partia1833973666xt_a_b_type,type,
    partia1833973666xt_a_b: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(partia1993116613t_unit_type,type,
    partia1993116613t_unit: $tType ).

thf(a_type,type,
    a: $tType ).

thf(rel_type,type,
    rel: partia1993116613t_unit ).

thf(r2_type,type,
    r2: a ).

thf(mult_a_ring_ext_a_b_type,type,
    mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).

thf(s_type,type,
    s: set_a ).

thf(s3_type,type,
    s3: a ).

thf(r_type,type,
    r: partia1833973666xt_a_b ).

thf(locali1170246543t_unit_type,type,
    locali1170246543t_unit: partia1993116613t_unit > a > a > set_Product_prod_a_a ).

thf(r3_type,type,
    r3: a ).

thf(s2_type,type,
    s2: a ).

thf(locali1944243560ac_a_b_type,type,
    locali1944243560ac_a_b: partia1833973666xt_a_b > set_a > partia539144763t_unit ).

thf(mult_s977248631t_unit_type,type,
    mult_s977248631t_unit: partia539144763t_unit > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).

thf(conj_0,conjecture,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
    = ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
   != ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl355,plain,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
   != ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_3_f1,axiom,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
    = ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) ).

thf(zip_derived_cl3,plain,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
    = ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
    inference(cnf,[status(esa)],[fact_3_f1]) ).

thf(zip_derived_cl359,plain,
    ( ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) )
   != ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl3]) ).

thf(fact_4_f2,axiom,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
    = ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ) ).

thf(zip_derived_cl4,plain,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
    = ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ),
    inference(cnf,[status(esa)],[fact_4_f2]) ).

thf(fact_0_f3,axiom,
    ( ( mult_a_ring_ext_a_b @ r @ r2 @ r3 )
    = ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) ) ).

thf(zip_derived_cl0,plain,
    ( ( mult_a_ring_ext_a_b @ r @ r2 @ r3 )
    = ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) ),
    inference(cnf,[status(esa)],[fact_0_f3]) ).

thf(fact_1_f4,axiom,
    ( ( mult_a_ring_ext_a_b @ r @ s2 @ s3 )
    = ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ).

thf(zip_derived_cl1,plain,
    ( ( mult_a_ring_ext_a_b @ r @ s2 @ s3 )
    = ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ),
    inference(cnf,[status(esa)],[fact_1_f4]) ).

thf(zip_derived_cl360,plain,
    ( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
    = ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl361,plain,
    ( ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) )
   != ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl360]) ).

thf(zip_derived_cl362,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP107^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e4zvlQiv5O true
% 0.14/0.35  % Computer : n007.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 : Wed Oct  1 15:33:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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 HO mode
% 0.55/0.68  % Total configuration time : 828
% 0.55/0.68  % Estimated wc time : 1656
% 0.55/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.82  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.87  % Solved by lams/35_full_unif4.sh.
% 0.59/0.87  % done 28 iterations in 0.076s
% 0.59/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.87  % SZS output start Refutation
% See solution above
% 0.59/0.87  
% 0.59/0.87  
% 0.59/0.87  % Terminating...
% 0.60/0.97  % Runner terminated.
% 0.60/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------