TSTP Solution File: SWV415+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV415+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.Pr9EBXKHIu true

% Computer : n019.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 00:09:37 EDT 2023

% Result   : Theorem 1.93s 0.91s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   30 (  18 unt;  12 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  206 (   4   ~;   0   |;   0   &; 202   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   65 (   0   ^;  65   !;   0   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(insert_slb_type,type,
    insert_slb: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(pair_type,type,
    pair: $i > $i > $i ).

thf(insert_cpq_type,type,
    insert_cpq: $i > $i > $i ).

thf(insert_pqp_type,type,
    insert_pqp: $i > $i > $i ).

thf(insert_pq_type,type,
    insert_pq: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

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

thf(bottom_type,type,
    bottom: $i ).

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

thf(ax42,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( insert_cpq @ ( triple @ U @ V @ W ) @ X )
      = ( triple @ ( insert_pqp @ U @ X ) @ ( insert_slb @ V @ ( pair @ X @ bottom ) ) @ W ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( insert_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
      = ( triple @ ( insert_pqp @ X0 @ X1 ) @ ( insert_slb @ X2 @ ( pair @ X1 @ bottom ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

thf(ax55,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
      = ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      = ( insert_pq @ ( i @ ( triple @ ( insert_pqp @ X3 @ X0 ) @ X2 @ X1 ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl37]) ).

thf(main2_l12,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( i @ ( triple @ U @ W @ X ) )
      = ( i @ ( triple @ V @ W @ Y ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
      = ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[main2_l12]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl38]) ).

thf(zip_derived_cl261_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl38]) ).

thf(zip_derived_cl261_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl38]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X5 @ X2 @ X4 ) @ X0 ) )
      = ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl261]) ).

thf(co2,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) )
      = ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ( i @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) )
        = ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ),
    inference('cnf.neg',[status(esa)],[co2]) ).

thf(zip_derived_cl39,plain,
    ( ( i @ ( insert_cpq @ ( triple @ sk__1 @ sk__2 @ sk__3 ) @ sk__4 ) )
   != ( insert_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl774,plain,
    ! [X0: $i,X1: $i] :
      ( ( i @ ( insert_cpq @ ( triple @ X1 @ sk__2 @ X0 ) @ sk__4 ) )
     != ( insert_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl39]) ).

thf(zip_derived_cl804,plain,
    ( ( insert_pq @ ( i @ ( triple @ sk__4 @ sk__2 @ sk__2 ) ) @ sk__4 )
   != ( insert_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl774]) ).

thf(zip_derived_cl38_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
      = ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[main2_l12]) ).

thf(zip_derived_cl809,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl804,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV415+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.Pr9EBXKHIu true
% 0.17/0.34  % Computer : n019.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Aug 29 09:08:43 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /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
% 0.21/0.75  % /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
% 1.93/0.91  % Solved by fo/fo3_bce.sh.
% 1.93/0.91  % BCE start: 40
% 1.93/0.91  % BCE eliminated: 3
% 1.93/0.91  % PE start: 37
% 1.93/0.91  logic: eq
% 1.93/0.91  % PE eliminated: 1
% 1.93/0.91  % done 227 iterations in 0.163s
% 1.93/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.93/0.91  % SZS output start Refutation
% See solution above
% 1.93/0.91  
% 1.93/0.91  
% 1.93/0.91  % Terminating...
% 2.40/1.00  % Runner terminated.
% 2.40/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------