TSTP Solution File: PUZ123^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ123^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 13:13:27 EDT 2023

% Result   : CounterSatisfiable 30.68s 30.92s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ123^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.36  % Computer : n014.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Sat Aug 26 22:38:32 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TH0
% 30.68/30.92  %------------------------------------------------------------------------------
% 30.68/30.92  % File     : PUZ123^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 30.68/30.92  % Domain   : Puzzles
% 30.68/30.92  % Problem  : TPS problem from CHECKERBOARD-THMS
% 30.68/30.92  % Version  : Especial.
% 30.68/30.92  % English  :
% 30.68/30.92  
% 30.68/30.92  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 30.68/30.92  % Source   : [Bro09]
% 30.68/30.92  % Names    : tps_0846 [Bro09]
% 30.68/30.92  
% 30.68/30.92  % Status   : CounterCounterSatisfiable
% 30.68/30.92  % Rating   : 0.75 v8.1.0, 0.40 v7.4.0, 0.50 v7.2.0, 0.33 v6.4.0, 0.67 v6.3.0, 0.33 v5.2.0
% 30.68/30.92  % Syntax   : Number of formulae    :    6 (   1 unt;   4 typ;   1 def)
% 30.68/30.92  %            Number of atoms       :    7 (   5 equ;   0 cnn)
% 30.68/30.92  %            Maximal formula atoms :    5 (   3 avg)
% 30.68/30.92  %            Number of connectives :   31 (   1   ~;   1   |;   4   &;  22   @)
% 30.68/30.92  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 30.68/30.92  %            Maximal formula depth :    7 (   4 avg)
% 30.68/30.92  %            Number of types       :    2 (   0 usr)
% 30.68/30.92  %            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
% 30.68/30.92  %            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
% 30.68/30.92  %            Number of variables   :    7 (   2   ^;   5   !;   0   ?;   7   :)
% 30.68/30.92  % SPC      : TH0_CSA_EQU_NAR
% 30.68/30.92  
% 30.68/30.92  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 30.68/30.92  %            project in the Department of Mathematical Sciences at Carnegie
% 30.68/30.92  %            Mellon University. Distributed under the Creative Commons copyleft
% 30.68/30.92  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 30.68/30.92  % Bugfixes : v5.2.0 - Added missing type declarations.
% 30.68/30.92  %------------------------------------------------------------------------------
% 30.68/30.92  thf(c1_type,type,
% 30.68/30.92      c1: $i ).
% 30.68/30.92  
% 30.68/30.92  thf(c8_type,type,
% 30.68/30.92      c8: $i ).
% 30.68/30.92  
% 30.68/30.92  thf(s_type,type,
% 30.68/30.92      s: $i > $i ).
% 30.68/30.92  
% 30.68/30.92  thf(cCKB6_BLACK_type,type,
% 30.68/30.92      cCKB6_BLACK: $i > $i > $o ).
% 30.68/30.92  
% 30.68/30.92  thf(cCKB6_BLACK_def,definition,
% 30.68/30.92      ( cCKB6_BLACK
% 30.68/30.92      = ( ^ [Xu: $i,Xv: $i] :
% 30.68/30.92          ! [Xw: $i > $i > $o] :
% 30.68/30.92            ( ( ( Xw @ c1 @ c1 )
% 30.68/30.92              & ! [Xj: $i,Xk: $i] :
% 30.68/30.92                  ( ( Xw @ Xj @ Xk )
% 30.68/30.92                 => ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
% 30.68/30.92                    & ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
% 30.68/30.92           => ( Xw @ Xu @ Xv ) ) ) ) ).
% 30.68/30.92  
% 30.68/30.92  thf(cCKB_L39000,conjecture,
% 30.68/30.92      ! [Xx: $i,Xy: $i] :
% 30.68/30.92        ( ( cCKB6_BLACK @ Xx @ Xy )
% 30.68/30.92       => ~ ( ( ( ( s @ ( s @ Xx ) )
% 30.68/30.92                = c1 )
% 30.68/30.92              & ( ( s @ Xy )
% 30.68/30.92                = c1 ) )
% 30.68/30.92            | ( ( ( s @ ( s @ Xx ) )
% 30.68/30.92                = c8 )
% 30.68/30.92              & ( ( s @ Xy )
% 30.68/30.92                = c8 ) ) ) ) ).
% 30.68/30.92  
% 30.68/30.92  %------------------------------------------------------------------------------
% 30.68/30.92  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.F9VzVX9Qty/cvc5---1.0.5_29917.p...
% 30.68/30.92  (declare-sort $$unsorted 0)
% 30.68/30.92  (declare-fun tptp.c1 () $$unsorted)
% 30.68/30.92  (declare-fun tptp.c8 () $$unsorted)
% 30.68/30.92  (declare-fun tptp.s ($$unsorted) $$unsorted)
% 30.68/30.92  (declare-fun tptp.cCKB6_BLACK ($$unsorted $$unsorted) Bool)
% 30.68/30.92  (assert (= tptp.cCKB6_BLACK (lambda ((Xu $$unsorted) (Xv $$unsorted)) (forall ((Xw (-> $$unsorted $$unsorted Bool))) (=> (and (@ (@ Xw tptp.c1) tptp.c1) (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (@ tptp.s Xj))) (=> (@ (@ Xw Xj) Xk) (and (@ (@ Xw (@ tptp.s _let_1)) Xk) (@ (@ Xw _let_1) (@ tptp.s Xk))))))) (@ (@ Xw Xu) Xv))))))
% 30.68/30.92  (assert (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (let ((_let_1 (@ tptp.s Xy))) (let ((_let_2 (@ tptp.s (@ tptp.s Xx)))) (=> (@ (@ tptp.cCKB6_BLACK Xx) Xy) (not (or (and (= _let_2 tptp.c1) (= _let_1 tptp.c1)) (and (= _let_2 tptp.c8) (= _let_1 tptp.c8))))))))))
% 30.68/30.92  (set-info :filename cvc5---1.0.5_29917)
% 30.68/30.92  (check-sat-assuming ( true ))
% 30.68/30.92  ------- get file name : TPTP file name is PUZ123^5
% 30.68/30.92  ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29917.smt2...
% 30.68/30.92  --- Run --ho-elim --full-saturate-quant at 10...
% 30.68/30.92  --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 30.68/30.92  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 30.68/30.92  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 30.68/30.92  % SZS status CounterSatisfiable for PUZ123^5
% 30.68/30.92  % cvc5---1.0.5 exiting
% 30.68/30.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------