TSTP Solution File: LCL512+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL512+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.Q4T36mbr9M true

% Computer : n028.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 Aug 31 09:00:01 EDT 2023

% Result   : Theorem 1.06s 0.77s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   27 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   24 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   79 (   6   ~;   3   |;   0   &;  67   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__26_type,type,
    sk__26: $i ).

thf(and_type,type,
    and: $i > $i > $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(equivalence_1_type,type,
    equivalence_1: $o ).

thf(op_equiv_type,type,
    op_equiv: $o ).

thf(kn2_type,type,
    kn2: $o ).

thf(equiv_type,type,
    equiv: $i > $i > $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(equivalence_1,axiom,
    ( equivalence_1
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ( equivalence_1
    | ~ ( is_a_theorem @ ( implies @ ( equiv @ sk__26 @ sk__27 ) @ ( implies @ sk__26 @ sk__27 ) ) ) ),
    inference(cnf,[status(esa)],[equivalence_1]) ).

thf(hilbert_equivalence_1,conjecture,
    equivalence_1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ equivalence_1,
    inference('cnf.neg',[status(esa)],[hilbert_equivalence_1]) ).

thf(zip_derived_cl71,plain,
    ~ equivalence_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ~ ( is_a_theorem @ ( implies @ ( equiv @ sk__26 @ sk__27 ) @ ( implies @ sk__26 @ sk__27 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl71]) ).

thf(rosser_op_equiv,axiom,
    op_equiv ).

thf(zip_derived_cl62,plain,
    op_equiv,
    inference(cnf,[status(esa)],[rosser_op_equiv]) ).

thf(op_equiv,axiom,
    ( op_equiv
   => ! [X: $i,Y: $i] :
        ( ( equiv @ X @ Y )
        = ( and @ ( implies @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( equiv @ X0 @ X1 )
        = ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) )
      | ~ op_equiv ),
    inference(cnf,[status(esa)],[op_equiv]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i,X1: $i] :
      ( ( equiv @ X1 @ X0 )
      = ( and @ ( implies @ X1 @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).

thf(rosser_kn2,axiom,
    kn2 ).

thf(zip_derived_cl65,plain,
    kn2,
    inference(cnf,[status(esa)],[rosser_kn2]) ).

thf(kn2,axiom,
    ( kn2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
      | ~ kn2 ),
    inference(cnf,[status(esa)],[kn2]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl35]) ).

thf(zip_derived_cl387,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X1 @ X0 ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl348]) ).

thf(zip_derived_cl393,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q4T36mbr9M true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 05:29:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.19/0.67  % Total configuration time : 435
% 0.19/0.67  % Estimated wc time : 1092
% 0.19/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.06/0.77  % Solved by fo/fo6_bce.sh.
% 1.06/0.77  % BCE start: 72
% 1.06/0.77  % BCE eliminated: 2
% 1.06/0.77  % PE start: 70
% 1.06/0.77  logic: eq
% 1.06/0.77  % PE eliminated: 40
% 1.06/0.77  % done 19 iterations in 0.028s
% 1.06/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.06/0.77  % SZS output start Refutation
% See solution above
% 1.06/0.77  
% 1.06/0.77  
% 1.06/0.77  % Terminating...
% 1.46/0.86  % Runner terminated.
% 1.46/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------