TSTP Solution File: SWV370+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV370+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.ClkJyVlqxI true

% Computer : n020.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 0.57s 0.84s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   61 (  17 unt;  14 typ;   0 def)
%            Number of atoms       :   86 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  552 (  24   ~;  30   |;   0   &; 489   @)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  128 (   0   ^; 128   !;   0   ?; 128   :)

% Comments : 
%------------------------------------------------------------------------------
thf(contains_cpq_type,type,
    contains_cpq: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(contains_slb_type,type,
    contains_slb: $i > $i > $o ).

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

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

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

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

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

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

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

thf(sk__7_type,type,
    sk__7: $i ).

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

thf(ax39,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
    <=> ( contains_slb @ V @ X ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
      | ~ ( contains_slb @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(l6_co,conjecture,
    ! [U: $i] :
      ( ! [V: $i,W: $i,X: $i] :
          ( ( contains_cpq @ ( triple @ V @ U @ W ) @ X )
        <=> ( contains_pq @ ( i @ ( triple @ V @ U @ W ) ) @ X ) )
     => ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
          ( ( contains_cpq @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) @ X3 )
        <=> ( contains_pq @ ( i @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) ) @ X3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ! [V: $i,W: $i,X: $i] :
            ( ( contains_cpq @ ( triple @ V @ U @ W ) @ X )
          <=> ( contains_pq @ ( i @ ( triple @ V @ U @ W ) ) @ X ) )
       => ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
            ( ( contains_cpq @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) @ X3 )
          <=> ( contains_pq @ ( i @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) ) @ X3 ) ) ),
    inference('cnf.neg',[status(esa)],[l6_co]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 )
    | ~ ( contains_cpq @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl493,plain,
    ( ~ ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 )
    | ~ ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl88]) ).

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_cl67,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_cl67_001,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_cl67_002,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_cl570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( i @ ( triple @ X4 @ ( insert_slb @ X3 @ ( pair @ X2 @ X5 ) ) @ X0 ) )
      = ( i @ ( triple @ X4 @ ( insert_slb @ X3 @ ( pair @ X2 @ X1 ) ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl67]) ).

thf(zip_derived_cl89,plain,
    ( ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 )
    | ( contains_cpq @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_slb @ X0 @ X1 )
      | ~ ( contains_cpq @ ( triple @ X2 @ X0 @ X3 ) @ X1 ) ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl482,plain,
    ( ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 )
    | ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl50]) ).

thf(zip_derived_cl601,plain,
    ! [X0: $i] :
      ( ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ X0 ) ) @ sk__6 ) ) @ sk__9 )
      | ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl570,zip_derived_cl482]) ).

thf(zip_derived_cl627,plain,
    ( ( contains_pq @ ( insert_pq @ ( i @ ( triple @ sk__5 @ sk__4 @ sk__6 ) ) @ sk__7 ) @ sk__9 )
    | ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl601]) ).

thf(ax9,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( contains_pq @ ( insert_pq @ U @ V ) @ W )
    <=> ( ( contains_pq @ U @ W )
        | ( V = W ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( contains_pq @ X2 @ X0 )
      | ~ ( contains_pq @ ( insert_pq @ X2 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[ax9]) ).

thf(zip_derived_cl633,plain,
    ( ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 )
    | ( sk__7 = sk__9 )
    | ( contains_pq @ ( i @ ( triple @ sk__5 @ sk__4 @ sk__6 ) ) @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl10]) ).

thf(ax21,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
    <=> ( ( contains_slb @ U @ W )
        | ( V = W ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_slb @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 )
      | ( X1 != X3 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl674,plain,
    ( ( contains_pq @ ( i @ ( triple @ sk__5 @ sk__4 @ sk__6 ) ) @ sk__9 )
    | ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 ) ),
    inference(clc,[status(thm)],[zip_derived_cl633,zip_derived_cl28]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_cpq @ ( triple @ X0 @ sk__4 @ X1 ) @ X2 )
      | ~ ( contains_pq @ ( i @ ( triple @ X0 @ sk__4 @ X1 ) ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_slb @ X0 @ X1 )
      | ~ ( contains_cpq @ ( triple @ X2 @ X0 @ X3 ) @ X1 ) ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_pq @ ( i @ ( triple @ X2 @ sk__4 @ X1 ) ) @ X0 )
      | ( contains_slb @ sk__4 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl50]) ).

thf(zip_derived_cl678,plain,
    ( ( contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9 )
    | ( contains_slb @ sk__4 @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl541]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_slb @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 )
      | ~ ( contains_slb @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl737,plain,
    contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl678,zip_derived_cl27]) ).

thf(zip_derived_cl738,plain,
    ~ ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl493,zip_derived_cl737]) ).

thf(zip_derived_cl737_004,plain,
    contains_slb @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl678,zip_derived_cl27]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( contains_slb @ X2 @ X0 )
      | ~ ( contains_slb @ ( insert_slb @ X2 @ ( pair @ X1 @ X3 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl739,plain,
    ( ( sk__7 = sk__9 )
    | ( contains_slb @ sk__4 @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl26]) ).

thf(zip_derived_cl51_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
      | ~ ( contains_slb @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X3: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ sk__4 @ X1 ) ) @ X3 )
      | ~ ( contains_cpq @ ( triple @ X0 @ sk__4 @ X1 ) @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_slb @ sk__4 @ X0 )
      | ( contains_pq @ ( i @ ( triple @ X2 @ sk__4 @ X1 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl87]) ).

thf(zip_derived_cl67_006,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_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( insert_pq @ X0 @ X1 ) @ X2 )
      | ~ ( contains_pq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ax9]) ).

thf(zip_derived_cl559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X4 @ ( insert_slb @ X3 @ ( pair @ X2 @ X1 ) ) @ X0 ) ) @ X5 )
      | ~ ( contains_pq @ ( i @ ( triple @ X4 @ X3 @ X0 ) ) @ X5 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl11]) ).

thf(zip_derived_cl738_007,plain,
    ~ ( contains_pq @ ( i @ ( triple @ sk__5 @ ( insert_slb @ sk__4 @ ( pair @ sk__7 @ sk__8 ) ) @ sk__6 ) ) @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl493,zip_derived_cl737]) ).

thf(zip_derived_cl747,plain,
    ~ ( contains_pq @ ( i @ ( triple @ sk__5 @ sk__4 @ sk__6 ) ) @ sk__9 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl738]) ).

thf(zip_derived_cl750,plain,
    ~ ( contains_slb @ sk__4 @ sk__9 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl747]) ).

thf(zip_derived_cl751,plain,
    sk__7 = sk__9,
    inference(clc,[status(thm)],[zip_derived_cl739,zip_derived_cl750]) ).

thf(zip_derived_cl67_008,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_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( insert_pq @ X0 @ X1 ) @ X2 )
      | ( X1 != X2 ) ),
    inference(cnf,[status(esa)],[ax9]) ).

thf(zip_derived_cl460,plain,
    ! [X0: $i,X1: $i] : ( contains_pq @ ( insert_pq @ X1 @ X0 ) @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( contains_pq @ ( i @ ( triple @ X4 @ ( insert_slb @ X3 @ ( pair @ X2 @ X1 ) ) @ X0 ) ) @ X2 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl460]) ).

thf(zip_derived_cl753,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl751,zip_derived_cl568]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV370+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ClkJyVlqxI true
% 0.14/0.35  % Computer : n020.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 04:49:58 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/0.84  % Solved by fo/fo6_bce.sh.
% 0.57/0.84  % BCE start: 90
% 0.57/0.84  % BCE eliminated: 0
% 0.57/0.84  % PE start: 90
% 0.57/0.84  logic: eq
% 0.57/0.84  % PE eliminated: 15
% 0.57/0.84  % done 133 iterations in 0.111s
% 0.57/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.84  % SZS output start Refutation
% See solution above
% 0.57/0.84  
% 0.57/0.84  
% 0.57/0.84  % Terminating...
% 1.65/0.88  % Runner terminated.
% 1.69/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------