TSTP Solution File: PUZ097^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ097^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 : CounterSatisfiable 35.61s 35.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ097^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 22:46:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : PUZ097^5 : 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_0582 [Bro09]
% 0.21/0.50
% 0.21/0.50 % Status : CounterCounterSatisfiable
% 0.21/0.50 % Rating : 0.50 v8.1.0, 0.60 v7.5.0, 0.40 v7.4.0, 0.50 v7.2.0, 0.33 v6.2.0
% 0.21/0.50 % Syntax : Number of formulae : 17 ( 5 unt; 11 typ; 5 def)
% 0.21/0.50 % Number of atoms : 39 ( 27 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 2 ( 6 avg)
% 0.21/0.50 % Number of connectives : 99 ( 0 ~; 10 |; 13 &; 75 @)
% 0.21/0.50 % ( 0 <=>; 1 =>; 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 : 20 ( 20 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 12 ( 11 usr; 4 con; 0-4 aty)
% 0.21/0.50 % Number of variables : 15 ( 9 ^; 6 !; 0 ?; 15 :)
% 0.21/0.50 % SPC : TH0_CSA_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(c2_type,type,
% 0.21/0.50 c2: $i ).
% 0.21/0.50
% 0.21/0.50 thf(c3_type,type,
% 0.21/0.50 c3: $i ).
% 0.21/0.50
% 0.21/0.50 thf(c4_type,type,
% 0.21/0.50 c4: $i ).
% 0.21/0.50
% 0.21/0.50 thf(g_type,type,
% 0.21/0.50 g: $i > $i > $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_H_type,type,
% 0.21/0.50 cCKB_H: $i > $i > $i > $i > $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_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_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_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_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(cCKB_H_def,definition,
% 0.21/0.50 ( cCKB_H
% 0.21/0.50 = ( ^ [Xx: $i,Xy: $i,Xu: $i,Xv: $i] :
% 0.21/0.50 ( ( cCKB_BLACK @ Xx @ Xy )
% 0.21/0.50 & ( ( ( ( g @ ( s @ ( s @ Xx ) ) @ ( s @ Xy ) )
% 0.21/0.50 = c1 )
% 0.21/0.50 & ( Xu
% 0.21/0.50 = ( s @ ( s @ ( s @ Xx ) ) ) )
% 0.21/0.50 & ( Xv
% 0.21/0.50 = ( s @ Xy ) ) )
% 0.21/0.50 | ( ( ( g @ ( s @ ( s @ Xx ) ) @ ( s @ Xy ) )
% 0.21/0.50 = c2 )
% 0.21/0.50 & ( Xu
% 0.21/0.50 = ( s @ ( s @ Xx ) ) )
% 0.21/0.50 & ( Xv
% 0.21/0.50 = ( s @ ( s @ Xy ) ) ) )
% 0.21/0.50 | ( ( ( g @ ( s @ ( s @ Xx ) ) @ ( s @ Xy ) )
% 0.21/0.50 = c3 )
% 0.21/0.50 & ( Xu
% 0.21/0.50 = ( s @ Xx ) )
% 0.21/0.50 & ( Xv
% 0.21/0.50 = ( s @ Xy ) ) )
% 0.21/0.50 | ( ( ( g @ ( s @ ( s @ Xx ) ) @ ( s @ Xy ) )
% 35.61/35.85 = c4 )
% 35.61/35.85 & ( Xu
% 35.61/35.85 = ( s @ ( s @ Xx ) ) )
% 35.61/35.85 & ( Xv = Xy ) ) ) ) ) ) ).
% 35.61/35.85
% 35.61/35.85 thf(cL2500,conjecture,
% 35.61/35.85 cCKB_INJ @ cCKB_H ).
% 35.61/35.85
% 35.61/35.85 %------------------------------------------------------------------------------
% 35.61/35.85 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aHYgiWoFVC/cvc5---1.0.5_1549.p...
% 35.61/35.85 (declare-sort $$unsorted 0)
% 35.61/35.85 (declare-fun tptp.c1 () $$unsorted)
% 35.61/35.85 (declare-fun tptp.c2 () $$unsorted)
% 35.61/35.85 (declare-fun tptp.c3 () $$unsorted)
% 35.61/35.85 (declare-fun tptp.c4 () $$unsorted)
% 35.61/35.85 (declare-fun tptp.g ($$unsorted $$unsorted) $$unsorted)
% 35.61/35.85 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 35.61/35.85 (declare-fun tptp.cCKB_BLACK ($$unsorted $$unsorted) Bool)
% 35.61/35.85 (declare-fun tptp.cCKB_EVEN ($$unsorted) Bool)
% 35.61/35.85 (declare-fun tptp.cCKB_H ($$unsorted $$unsorted $$unsorted $$unsorted) Bool)
% 35.61/35.85 (declare-fun tptp.cCKB_INJ ((-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) Bool)
% 35.61/35.85 (declare-fun tptp.cCKB_ODD ($$unsorted) Bool)
% 35.61/35.85 (assert (= tptp.cCKB_INJ (lambda ((Xh (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))) (forall ((Xx1 $$unsorted) (Xy1 $$unsorted) (Xx2 $$unsorted) (Xy2 $$unsorted) (Xu $$unsorted) (Xv $$unsorted)) (=> (and (@ (@ (@ (@ Xh Xx1) Xy1) Xu) Xv) (@ (@ (@ (@ Xh Xx2) Xy2) Xu) Xv)) (and (= Xx1 Xx2) (= Xy1 Xy2)))))))
% 35.61/35.85 (assert (= tptp.cCKB_EVEN (lambda ((Xx $$unsorted)) (let ((_let_1 (@ tptp.s tptp.c1))) (let ((_let_2 (@ tptp.s (@ tptp.s _let_1)))) (let ((_let_3 (@ tptp.s (@ tptp.s _let_2)))) (or (= Xx _let_1) (= Xx _let_2) (= Xx _let_3) (= Xx (@ tptp.s (@ tptp.s _let_3))))))))))
% 35.61/35.85 (assert (= tptp.cCKB_ODD (lambda ((Xx $$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)))))))))
% 35.61/35.85 (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))))))
% 35.61/35.85 (assert (= tptp.cCKB_H (lambda ((Xx $$unsorted) (Xy $$unsorted) (Xu $$unsorted) (Xv $$unsorted)) (let ((_let_1 (@ tptp.s Xx))) (let ((_let_2 (@ tptp.s _let_1))) (let ((_let_3 (= Xu _let_2))) (let ((_let_4 (@ tptp.s Xy))) (let ((_let_5 (@ (@ tptp.g _let_2) _let_4))) (let ((_let_6 (= Xv _let_4))) (and (@ (@ tptp.cCKB_BLACK Xx) Xy) (or (and (= _let_5 tptp.c1) (= Xu (@ tptp.s _let_2)) _let_6) (and (= _let_5 tptp.c2) _let_3 (= Xv (@ tptp.s _let_4))) (and (= _let_5 tptp.c3) (= Xu _let_1) _let_6) (and (= _let_5 tptp.c4) _let_3 (= Xv Xy)))))))))))))
% 35.61/35.85 (assert (not (@ tptp.cCKB_INJ tptp.cCKB_H)))
% 35.61/35.85 (set-info :filename cvc5---1.0.5_1549)
% 35.61/35.85 (check-sat-assuming ( true ))
% 35.61/35.85 ------- get file name : TPTP file name is PUZ097^5
% 35.61/35.85 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1549.smt2...
% 35.61/35.85 --- Run --ho-elim --full-saturate-quant at 10...
% 35.61/35.85 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 35.61/35.85 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 35.61/35.85 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 35.61/35.85 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 35.61/35.85 % SZS status CounterSatisfiable for PUZ097^5
% 35.61/35.85 % cvc5---1.0.5 exiting
% 35.61/35.85 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------