TSTP Solution File: PUZ111^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ111^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 13:13:25 EDT 2023
% Result : CounterSatisfiable 30.59s 30.90s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ111^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.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 21:59:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 10.37/10.57 %------------------------------------------------------------------------------
% 10.37/10.57 % File : PUZ111^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 10.37/10.57 % Domain : Puzzles
% 10.37/10.57 % Problem : TPS problem from CHECKERBOARD-THMS
% 10.37/10.57 % Version : Especial.
% 10.37/10.57 % English :
% 10.37/10.57
% 10.37/10.57 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 10.37/10.57 % Source : [Bro09]
% 10.37/10.57 % Names : tps_0684 [Bro09]
% 10.37/10.57
% 10.37/10.57 % Status : CounterCounterSatisfiable
% 10.37/10.57 % Rating : 0.25 v8.1.0, 0.20 v7.4.0, 0.25 v7.2.0, 0.00 v6.4.0, 0.33 v6.3.0, 0.00 v5.2.0
% 10.37/10.57 % Syntax : Number of formulae : 9 ( 2 unt; 6 typ; 2 def)
% 10.37/10.57 % Number of atoms : 15 ( 10 equ; 0 cnn)
% 10.37/10.57 % Maximal formula atoms : 3 ( 5 avg)
% 10.37/10.57 % Number of connectives : 42 ( 0 ~; 6 |; 1 &; 34 @)
% 10.37/10.57 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 10.37/10.57 % Maximal formula depth : 7 ( 3 avg)
% 10.37/10.57 % Number of types : 2 ( 0 usr)
% 10.37/10.57 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 10.37/10.57 % Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% 10.37/10.57 % Number of variables : 3 ( 2 ^; 1 !; 0 ?; 3 :)
% 10.37/10.57 % SPC : TH0_CSA_EQU_NAR
% 10.37/10.57
% 10.37/10.57 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 10.37/10.57 % project in the Department of Mathematical Sciences at Carnegie
% 10.37/10.57 % Mellon University. Distributed under the Creative Commons copyleft
% 10.37/10.57 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 10.37/10.57 % Bugfixes : v5.2.0 - Added missing type declarations.
% 10.37/10.57 %------------------------------------------------------------------------------
% 10.37/10.57 thf(c1_type,type,
% 10.37/10.57 c1: $i ).
% 10.37/10.57
% 10.37/10.57 thf(cS_type,type,
% 10.37/10.57 cS: $i > $i ).
% 10.37/10.57
% 10.37/10.57 thf(cX_type,type,
% 10.37/10.57 cX: $i ).
% 10.37/10.57
% 10.37/10.57 thf(s_type,type,
% 10.37/10.57 s: $i > $i ).
% 10.37/10.57
% 10.37/10.57 thf(cCKB_EVEN_type,type,
% 10.37/10.57 cCKB_EVEN: $i > $o ).
% 10.37/10.57
% 10.37/10.57 thf(cCKB_ODD_type,type,
% 10.37/10.57 cCKB_ODD: $i > $o ).
% 10.37/10.57
% 10.37/10.57 thf(cCKB_EVEN_def,definition,
% 10.37/10.57 ( cCKB_EVEN
% 10.37/10.57 = ( ^ [Xx: $i] :
% 10.37/10.57 ( ( Xx
% 10.37/10.57 = ( s @ c1 ) )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ ( s @ c1 ) ) ) )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ) ).
% 10.37/10.57
% 10.37/10.57 thf(cCKB_ODD_def,definition,
% 10.37/10.57 ( cCKB_ODD
% 10.37/10.57 = ( ^ [Xx: $i] :
% 10.37/10.57 ( ( Xx = c1 )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ c1 ) ) )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) )
% 10.37/10.57 | ( Xx
% 10.37/10.57 = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ) ) ) ).
% 10.37/10.57
% 10.37/10.57 thf(cCKB_L10000,conjecture,
% 10.37/10.57 ! [Xx: $i] :
% 10.37/10.57 ( ( cCKB_EVEN @ Xx )
% 10.37/10.57 => ( ( cCKB_EVEN @ ( s @ ( s @ Xx ) ) )
% 10.37/10.57 & ( cCKB_ODD @ ( cS @ cX ) ) ) ) ).
% 10.37/10.57
% 10.37/10.57 %------------------------------------------------------------------------------
% 10.37/10.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qA0WVXbolk/cvc5---1.0.5_14322.p...
% 10.37/10.57 (declare-sort $$unsorted 0)
% 10.37/10.57 (declare-fun tptp.c1 () $$unsorted)
% 10.37/10.57 (declare-fun tptp.cS ($$unsorted) $$unsorted)
% 10.37/10.57 (declare-fun tptp.cX () $$unsorted)
% 10.37/10.57 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 10.37/10.57 (declare-fun tptp.cCKB_EVEN ($$unsorted) Bool)
% 10.37/10.57 (declare-fun tptp.cCKB_ODD ($$unsorted) Bool)
% 10.37/10.57 (assert (= tptp.cCKB_EVEN (lambda ((Xx $$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))))))))))
% 10.37/10.57 (assert (= tptp.cCKB_ODD (lambda ((Xx $$unsorted)) (let ((_let_1 (@ tptp.s (@ tptp.s tptp.c1)))) (let ((_let_2 (@ tptp.s (@ tptp.s _let_1)))) (or (= Xx tptp.c1) (= Xx _let_1) (= Xx _let_2) (= Xx (@ tptp.s (@ tptp.s _let_2)))))))))
% 10.37/10.57 (assert (not (forall ((Xx $$unsorted)) (=> (@ tptp.cCKB_EVEN Xx) (and (@ tptp.cCKB_EVEN (@ tptp.s (@ tptp.s Xx))) (@ tptp.cCKB_ODD (@ tptp.cS tptp.cX)))))))
% 10.37/10.57 (set-info :filename cvc5---1.0.5_14322)
% 10.37/10.57 (check-sat-assuming ( true ))
% 10.37/10.57 ------- get file name : TPTP file name is PUZ111^5
% 10.37/10.57 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14322.smt2...
% 10.37/10.57 --- Run --ho-elim --full-saturate-quant at 10...
% 10.37/10.57 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 30.59/30.90 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 30.59/30.90 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 30.59/30.90 % SZS status CounterSatisfiable for PUZ111^5
% 30.59/30.90 % cvc5---1.0.5 exiting
% 30.59/30.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------