TSTP Solution File: COM012+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ltQscATMBz true

% Computer : n022.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 : Wed Aug 30 18:49:06 EDT 2023

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   62 (  29 unt;   8 typ;   0 def)
%            Number of atoms       :  121 (  17 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  316 (  44   ~;  44   |;  11   &; 205   @)
%                                         (   1 <=>;   5  =>;   6  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xy_type,type,
    xy: $i ).

thf(xR_type,type,
    xR: $i ).

thf(aRewritingSystem0_type,type,
    aRewritingSystem0: $i > $o ).

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(xz_type,type,
    xz: $i ).

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(m__,conjecture,
    ( ( ( sdtmndtasgtdt0 @ xx @ xR @ xy )
      & ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
   => ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( sdtmndtasgtdt0 @ xx @ xR @ xy )
        & ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
     => ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl20,plain,
    ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mTCRDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( W0 = W2 )
          | ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xx )
    | ~ ( aElement0 @ xz )
    | ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).

thf(m__349,axiom,
    ( ( aElement0 @ xz )
    & ( aElement0 @ xy )
    & ( aRewritingSystem0 @ xR )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl16,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl17,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl14,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl27,plain,
    ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl16,zip_derived_cl17,zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    sdtmndtasgtdt0 @ xy @ xR @ xz,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xy )
    | ~ ( aElement0 @ xz )
    | ( sdtmndtplgtdt0 @ xy @ xR @ xz )
    | ( xy = xz ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl13]) ).

thf(zip_derived_cl16_001,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl15,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl14_002,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl40,plain,
    ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
    | ( xy = xz ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl16,zip_derived_cl15,zip_derived_cl14]) ).

thf(zip_derived_cl56,plain,
    ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
   <= ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl57,plain,
    ( ( xy = xz )
   <= ( xy = xz ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl20_003,plain,
    ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( sdtmndtasgtdt0 @ xx @ xR @ xy )
   <= ( xy = xz ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl20]) ).

thf(zip_derived_cl18,plain,
    sdtmndtasgtdt0 @ xx @ xR @ xy,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    xy != xz,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl18]) ).

thf('1',plain,
    ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
    | ( xy = xz ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('2',plain,
    sdtmndtplgtdt0 @ xy @ xR @ xz,
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl66,plain,
    sdtmndtplgtdt0 @ xy @ xR @ xz,
    inference(simpl_trail,[status(thm)],[zip_derived_cl56,'2']) ).

thf(zip_derived_cl18_004,plain,
    sdtmndtasgtdt0 @ xx @ xR @ xy,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xx )
    | ~ ( aElement0 @ xy )
    | ( sdtmndtplgtdt0 @ xx @ xR @ xy )
    | ( xx = xy ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).

thf(zip_derived_cl16_006,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl17_007,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl15_008,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl39,plain,
    ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
    | ( xx = xy ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl16,zip_derived_cl17,zip_derived_cl15]) ).

thf(zip_derived_cl43,plain,
    ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
   <= ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl44,plain,
    ( ( xx = xy )
   <= ( xx = xy ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl19_009,plain,
    sdtmndtasgtdt0 @ xy @ xR @ xz,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ( ( sdtmndtasgtdt0 @ xx @ xR @ xz )
   <= ( xx = xy ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl19]) ).

thf(zip_derived_cl20_010,plain,
    ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    xx != xy,
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl20]) ).

thf('4',plain,
    ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
    | ( xx = xy ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('5',plain,
    sdtmndtplgtdt0 @ xx @ xR @ xy,
    inference('sat_resolution*',[status(thm)],['3','4']) ).

thf(zip_derived_cl55,plain,
    sdtmndtplgtdt0 @ xx @ xR @ xy,
    inference(simpl_trail,[status(thm)],[zip_derived_cl43,'5']) ).

thf(mTCTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 )
        & ( aElement0 @ W3 ) )
     => ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
          & ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
       => ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ X1 @ X2 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ( sdtmndtplgtdt0 @ X0 @ X1 @ X3 )
      | ~ ( sdtmndtplgtdt0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[mTCTrans]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ xy )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xx )
      | ~ ( aElement0 @ X0 )
      | ( sdtmndtplgtdt0 @ xx @ xR @ X0 )
      | ~ ( sdtmndtplgtdt0 @ xy @ xR @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl10]) ).

thf(zip_derived_cl15_011,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl16_012,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl17_013,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( sdtmndtplgtdt0 @ xx @ xR @ X0 )
      | ~ ( sdtmndtplgtdt0 @ xy @ xR @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl15,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( aElement0 @ xz )
    | ( sdtmndtplgtdt0 @ xx @ xR @ xz ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl72]) ).

thf(zip_derived_cl14_014,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl77,plain,
    sdtmndtplgtdt0 @ xx @ xR @ xz,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl14]) ).

thf(zip_derived_cl79,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ltQscATMBz true
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 13:26:38 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
% 0.14/0.35  % Running in FO mode
% 0.50/0.65  % Total configuration time : 435
% 0.50/0.65  % Estimated wc time : 1092
% 0.50/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % Solved by fo/fo1_av.sh.
% 0.57/0.77  % done 37 iterations in 0.016s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 0.59/0.86  % Runner terminated.
% 1.64/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------