TSTP Solution File: PUZ098^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ098^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 13:13:22 EDT 2023

% Result   : Timeout 298.54s 300.27s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ098^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n001.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   : Sat Aug 26 22:57:31 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TH0
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  % File     : PUZ098^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.21/0.50  % Domain   : Puzzles
% 0.21/0.50  % Problem  : TPS problem from CHECKERBOARD-THMS
% 0.21/0.50  % Version  : Especial.
% 0.21/0.50  % English  :
% 0.21/0.50  
% 0.21/0.50  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50  % Source   : [Bro09]
% 0.21/0.50  % Names    : tps_0583 [Bro09]
% 0.21/0.50  
% 0.21/0.50  % Status   : Unknown
% 0.21/0.50  % Rating   : 1.00 v6.2.0
% 0.21/0.50  % Syntax   : Number of formulae    :   17 (   7 unt;   9 typ;   7 def)
% 0.21/0.50  %            Number of atoms       :   35 (  19 equ;   0 cnn)
% 0.21/0.50  %            Maximal formula atoms :    2 (   4 avg)
% 0.21/0.50  %            Number of connectives :   77 (   2   ~;   7   |;   9   &;  57   @)
% 0.21/0.50  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.21/0.50  %            Maximal formula depth :    2 (   1 avg)
% 0.21/0.50  %            Number of types       :    2 (   0 usr)
% 0.21/0.50  %            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
% 0.21/0.50  %            Number of symbols     :   10 (   9 usr;   1 con; 0-4 aty)
% 0.21/0.50  %            Number of variables   :   24 (  11   ^;   8   !;   5   ?;  24   :)
% 0.21/0.50  % SPC      : TH0_UNK_EQU_NAR
% 0.21/0.50  
% 0.21/0.50  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50  %            project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50  % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.21/0.50  %          : v6.2.0 - Reordered definitions.
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  thf(c1_type,type,
% 0.21/0.50      c1: $i ).
% 0.21/0.50  
% 0.21/0.50  thf(s_type,type,
% 0.21/0.50      s: $i > $i ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_BLACK_type,type,
% 0.21/0.50      cCKB_BLACK: $i > $i > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_EVEN_type,type,
% 0.21/0.50      cCKB_EVEN: $i > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_FIN_type,type,
% 0.21/0.50      cCKB_FIN: ( $i > $i > $o ) > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_INF_type,type,
% 0.21/0.50      cCKB_INF: ( $i > $i > $o ) > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_INJ_type,type,
% 0.21/0.50      cCKB_INJ: ( $i > $i > $i > $i > $o ) > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_ODD_type,type,
% 0.21/0.50      cCKB_ODD: $i > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_XPL_type,type,
% 0.21/0.50      cCKB_XPL: ( $i > $i > $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $o ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_INJ_def,definition,
% 0.21/0.50      ( cCKB_INJ
% 0.21/0.50      = ( ^ [Xh: $i > $i > $i > $i > $o] :
% 0.21/0.50          ! [Xx1: $i,Xy1: $i,Xx2: $i,Xy2: $i,Xu: $i,Xv: $i] :
% 0.21/0.50            ( ( ( Xh @ Xx1 @ Xy1 @ Xu @ Xv )
% 0.21/0.50              & ( Xh @ Xx2 @ Xy2 @ Xu @ Xv ) )
% 0.21/0.50           => ( ( Xx1 = Xx2 )
% 0.21/0.50              & ( Xy1 = Xy2 ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_XPL_def,definition,
% 0.21/0.50      ( cCKB_XPL
% 0.21/0.50      = ( ^ [Xh: $i > $i > $i > $i > $o,Xk: $i > $i > $o,Xm: $i,Xn: $i] :
% 0.21/0.50            ( ( Xk @ Xm @ Xn )
% 0.21/0.50            & ! [Xx: $i,Xy: $i] :
% 0.21/0.50                ( ( Xk @ Xx @ Xy )
% 0.21/0.50               => ? [Xu: $i,Xv: $i] :
% 0.21/0.50                    ( ( Xh @ Xx @ Xy @ Xu @ Xv )
% 0.21/0.50                    & ( Xk @ Xu @ Xv )
% 0.21/0.50                    & ~ ( ( Xu = Xm )
% 0.21/0.50                        & ( Xv = Xn ) ) ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_INF_def,definition,
% 0.21/0.50      ( cCKB_INF
% 0.21/0.50      = ( ^ [Xk: $i > $i > $o] :
% 0.21/0.50          ? [Xh: $i > $i > $i > $i > $o,Xm: $i,Xn: $i] :
% 0.21/0.50            ( ( cCKB_INJ @ Xh )
% 0.21/0.50            & ( cCKB_XPL @ Xh @ Xk @ Xm @ Xn ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_FIN_def,definition,
% 0.21/0.50      ( cCKB_FIN
% 0.21/0.50      = ( ^ [Xk: $i > $i > $o] :
% 0.21/0.50            ~ ( cCKB_INF @ Xk ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_ODD_def,definition,
% 0.21/0.50      ( cCKB_ODD
% 0.21/0.50      = ( ^ [Xx: $i] :
% 0.21/0.50            ( ( Xx = c1 )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ c1 ) ) )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_EVEN_def,definition,
% 0.21/0.50      ( cCKB_EVEN
% 0.21/0.50      = ( ^ [Xx: $i] :
% 0.21/0.50            ( ( Xx
% 0.21/0.50              = ( s @ c1 ) )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ ( s @ c1 ) ) ) )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) )
% 0.21/0.50            | ( Xx
% 0.21/0.50              = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cCKB_BLACK_def,definition,
% 0.21/0.50      ( cCKB_BLACK
% 0.21/0.50      = ( ^ [Xu: $i,Xv: $i] :
% 0.21/0.50            ( ( ( cCKB_ODD @ Xu )
% 0.21/0.50              & ( cCKB_ODD @ Xv ) )
% 0.21/0.50            | ( ( cCKB_EVEN @ Xu )
% 0.21/0.50              & ( cCKB_EVEN @ Xv ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  thf(cL7000,conjecture,
% 0.21/0.50      cCKB_FIN @ cCKB_BLACK/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 14800 Alarm clock             ( read result; case "$result" in 
% 298.54/300.27      unsat)
% 298.54/300.27          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 298.54/300.27      ;;
% 298.54/300.27      sat)
% 298.54/300.27          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 298.54/300.27      ;;
% 298.54/300.27  esac; exit 1 )
% 298.54/300.28  Alarm clock 
% 298.54/300.28  % cvc5---1.0.5 exiting
% 298.54/300.28  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------