TSTP Solution File: PUZ120^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ120^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 33.39s 33.65s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : PUZ120^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.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 22:06:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TH0
% 33.39/33.65  %------------------------------------------------------------------------------
% 33.39/33.65  % File     : PUZ120^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 33.39/33.65  % Domain   : Puzzles
% 33.39/33.65  % Problem  : TPS problem from CHECKERBOARD-THMS
% 33.39/33.65  % Version  : Especial.
% 33.39/33.65  % English  :
% 33.39/33.65  
% 33.39/33.65  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 33.39/33.65  % Source   : [Bro09]
% 33.39/33.65  % Names    : tps_0801 [Bro09]
% 33.39/33.65  
% 33.39/33.65  % Status   : CounterCounterSatisfiable
% 33.39/33.65  % Rating   : 1.00 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
% 33.39/33.65  % Syntax   : Number of formulae    :    5 (   1 unt;   3 typ;   1 def)
% 33.39/33.65  %            Number of atoms       :    6 (   3 equ;   0 cnn)
% 33.39/33.65  %            Maximal formula atoms :    4 (   3 avg)
% 33.39/33.65  %            Number of connectives :   19 (   0   ~;   0   |;   3   &;  13   @)
% 33.39/33.65  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 33.39/33.65  %            Maximal formula depth :    7 (   4 avg)
% 33.39/33.65  %            Number of types       :    2 (   0 usr)
% 33.39/33.65  %            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
% 33.39/33.65  %            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
% 33.39/33.65  %            Number of variables   :    5 (   1   ^;   4   !;   0   ?;   5   :)
% 33.39/33.65  % SPC      : TH0_CSA_EQU_NAR
% 33.39/33.65  
% 33.39/33.65  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 33.39/33.65  %            project in the Department of Mathematical Sciences at Carnegie
% 33.39/33.65  %            Mellon University. Distributed under the Creative Commons copyleft
% 33.39/33.65  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 33.39/33.65  % Bugfixes : v5.2.0 - Added missing type declarations.
% 33.39/33.65  %------------------------------------------------------------------------------
% 33.39/33.65  thf(c1_type,type,
% 33.39/33.65      c1: $i ).
% 33.39/33.65  
% 33.39/33.65  thf(s_type,type,
% 33.39/33.65      s: $i > $i ).
% 33.39/33.65  
% 33.39/33.65  thf(cCKB6_NUM_type,type,
% 33.39/33.65      cCKB6_NUM: $i > $o ).
% 33.39/33.65  
% 33.39/33.65  thf(cCKB6_NUM_def,definition,
% 33.39/33.65      ( cCKB6_NUM
% 33.39/33.65      = ( ^ [Xx: $i] :
% 33.39/33.65          ! [Xp: $i > $o] :
% 33.39/33.65            ( ( ( Xp @ c1 )
% 33.39/33.65              & ! [Xw: $i] :
% 33.39/33.65                  ( ( Xp @ Xw )
% 33.39/33.65                 => ( Xp @ ( s @ Xw ) ) ) )
% 33.39/33.65           => ( Xp @ Xx ) ) ) ) ).
% 33.39/33.65  
% 33.39/33.65  thf(cCKB6_L26000,conjecture,
% 33.39/33.65      ! [Xx: $i,Xy: $i] :
% 33.39/33.65        ( ( ( cCKB6_NUM @ Xx )
% 33.39/33.65          & ( cCKB6_NUM @ Xy )
% 33.39/33.65          & ( ( s @ ( s @ ( s @ Xx ) ) )
% 33.39/33.65            = ( s @ ( s @ ( s @ Xy ) ) ) ) )
% 33.39/33.65       => ( Xx = Xy ) ) ).
% 33.39/33.65  
% 33.39/33.65  %------------------------------------------------------------------------------
% 33.39/33.65  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.oornvs5b7E/cvc5---1.0.5_25151.p...
% 33.39/33.65  (declare-sort $$unsorted 0)
% 33.39/33.65  (declare-fun tptp.c1 () $$unsorted)
% 33.39/33.65  (declare-fun tptp.s ($$unsorted) $$unsorted)
% 33.39/33.65  (declare-fun tptp.cCKB6_NUM ($$unsorted) Bool)
% 33.39/33.65  (assert (= tptp.cCKB6_NUM (lambda ((Xx $$unsorted)) (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp tptp.c1) (forall ((Xw $$unsorted)) (=> (@ Xp Xw) (@ Xp (@ tptp.s Xw))))) (@ Xp Xx))))))
% 33.39/33.65  (assert (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (and (@ tptp.cCKB6_NUM Xx) (@ tptp.cCKB6_NUM Xy) (= (@ tptp.s (@ tptp.s (@ tptp.s Xx))) (@ tptp.s (@ tptp.s (@ tptp.s Xy))))) (= Xx Xy)))))
% 33.39/33.65  (set-info :filename cvc5---1.0.5_25151)
% 33.39/33.65  (check-sat-assuming ( true ))
% 33.39/33.65  ------- get file name : TPTP file name is PUZ120^5
% 33.39/33.65  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25151.smt2...
% 33.39/33.65  --- Run --ho-elim --full-saturate-quant at 10...
% 33.39/33.65  --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 33.39/33.65  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 33.39/33.65  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 33.39/33.65  % SZS status CounterSatisfiable for PUZ120^5
% 33.39/33.65  % cvc5---1.0.5 exiting
% 33.39/33.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------