TSTP Solution File: PUZ121^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ121^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 35.66s 35.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ121^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 22:12:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 % File : PUZ121^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.22/0.51 % Domain : Puzzles
% 0.22/0.51 % Problem : TPS problem from CHECKERBOARD-THMS
% 0.22/0.51 % Version : Especial.
% 0.22/0.51 % English :
% 0.22/0.51
% 0.22/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.51 % Source : [Bro09]
% 0.22/0.51 % Names : tps_0815 [Bro09]
% 0.22/0.51
% 0.22/0.51 % Status : CounterCounterSatisfiable
% 0.22/0.51 % Rating : 0.25 v8.1.0, 0.40 v7.4.0, 0.50 v7.2.0, 0.33 v6.2.0
% 0.22/0.51 % Syntax : Number of formulae : 9 ( 3 unt; 5 typ; 3 def)
% 0.22/0.51 % Number of atoms : 22 ( 11 equ; 0 cnn)
% 0.22/0.51 % Maximal formula atoms : 4 ( 5 avg)
% 0.22/0.51 % Number of connectives : 58 ( 0 ~; 7 |; 4 &; 46 @)
% 0.22/0.51 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.51 % Maximal formula depth : 10 ( 3 avg)
% 0.22/0.51 % Number of types : 2 ( 0 usr)
% 0.22/0.51 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.22/0.51 % Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% 0.22/0.51 % Number of variables : 6 ( 4 ^; 2 !; 0 ?; 6 :)
% 0.22/0.51 % SPC : TH0_CSA_EQU_NAR
% 0.22/0.51
% 0.22/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.51 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.22/0.51 % : v6.2.0 - Reordered definitions.
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 thf(c1_type,type,
% 0.22/0.51 c1: $i ).
% 0.22/0.51
% 0.22/0.51 thf(s_type,type,
% 0.22/0.51 s: $i > $i ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_BLACK_type,type,
% 0.22/0.51 cCKB_BLACK: $i > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_EVEN_type,type,
% 0.22/0.51 cCKB_EVEN: $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_ODD_type,type,
% 0.22/0.51 cCKB_ODD: $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_EVEN_def,definition,
% 0.22/0.51 ( cCKB_EVEN
% 0.22/0.51 = ( ^ [Xx: $i] :
% 0.22/0.51 ( ( Xx
% 0.22/0.51 = ( s @ c1 ) )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ ( s @ c1 ) ) ) )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_ODD_def,definition,
% 0.22/0.51 ( cCKB_ODD
% 0.22/0.51 = ( ^ [Xx: $i] :
% 0.22/0.51 ( ( Xx = c1 )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ c1 ) ) )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) )
% 0.22/0.51 | ( Xx
% 0.22/0.51 = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_BLACK_def,definition,
% 0.22/0.51 ( cCKB_BLACK
% 0.22/0.51 = ( ^ [Xu: $i,Xv: $i] :
% 0.22/0.51 ( ( ( cCKB_ODD @ Xu )
% 0.22/0.51 & ( cCKB_ODD @ Xv ) )
% 0.22/0.51 | ( ( cCKB_EVEN @ Xu )
% 0.22/0.51 & ( cCKB_EVEN @ Xv ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cCKB_L11000,conjecture,
% 0.22/0.51 ! [Xu: $i,Xv: $i] :
% 0.22/0.51 ( ( cCKB_BLACK @ Xu @ Xv )
% 0.22/0.51 => ( ( cCKB_BLACK @ ( s @ Xu ) @ ( s @ Xv ) )
% 0.22/0.51 & ( cCKB_BLACK @ Xu @ ( s @ ( s @ Xv ) ) )
% 0.22/0.51 & ( cCKB_BLACK @ ( s @ ( s @ Xu ) ) @ Xv ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.W5OGE57dRb/cvc5---1.0.5_12970.p...
% 0.22/0.51 (declare-sort $$unsorted 0)
% 0.22/0.51 (declare-fun tptp.c1 () $$unsorted)
% 0.22/0.51 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 0.22/0.51 (declare-fun tptp.cCKB_BLACK ($$unsorted $$unsorted) Bool)
% 0.22/0.51 (declare-fun tptp.cCKB_EVEN ($$unsorted) Bool)
% 0.22/0.51 (declare-fun tptp.cCKB_ODD ($$unsorted) Bool)
% 0.22/0.51 (assert (= tptp.cCKB_EVEN (lambda ((Xx $$unsorted)) (let ((_let_1 (@ tptp.s tptp.c1))) (let ((_let_2 (@ tptp.s (@ tptp.s _let_1)))) (let ((_let_3 (@ tptp.s (@ tptp.s _let_2)))) (or (= Xx _let_1) (= Xx _let_2) (= Xx _let_3) (= Xx (@ tptp.s (@ tptp.s _let_3))))))))))
% 0.22/0.51 (assert (= tptp.cCKB_ODD (lambda ((Xx $$unsorted)) (let ((_let_1 (@ tptp.s (@ tptp.s tptp.c1)))) (let ((_let_2 (@ tptp.s (@ tptp.s _let_1)))) (or (= Xx tptp.c1) (= Xx _let_1) (= Xx _let_2) (= Xx (@ tptp.s (@ tptp.s _let_2)))))))))
% 0.22/0.51 (assert (= tptp.cCKB_BLACK (lambda ((Xu $$unsorted) (Xv $$unsorted)) (or (and (@ tptp.cCKB_ODD Xu) (@ tptp.cCKB_ODD Xv)) (and (@ tptp.cCKB_EVEN Xu) (@ tptp.cCKB_EVEN Xv))))))
% 35.66/35.84 (assert (not (forall ((Xu $$unsorted) (Xv $$unsorted)) (let ((_let_1 (@ tptp.s Xu))) (let ((_let_2 (@ tptp.s Xv))) (let ((_let_3 (@ tptp.cCKB_BLACK Xu))) (=> (@ _let_3 Xv) (and (@ (@ tptp.cCKB_BLACK _let_1) _let_2) (@ _let_3 (@ tptp.s _let_2)) (@ (@ tptp.cCKB_BLACK (@ tptp.s _let_1)) Xv)))))))))
% 35.66/35.84 (set-info :filename cvc5---1.0.5_12970)
% 35.66/35.84 (check-sat-assuming ( true ))
% 35.66/35.84 ------- get file name : TPTP file name is PUZ121^5
% 35.66/35.84 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12970.smt2...
% 35.66/35.84 --- Run --ho-elim --full-saturate-quant at 10...
% 35.66/35.84 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 35.66/35.84 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 35.66/35.84 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 35.66/35.84 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 35.66/35.84 % SZS status CounterSatisfiable for PUZ121^5
% 35.66/35.84 % cvc5---1.0.5 exiting
% 35.66/35.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------