TSTP Solution File: PUZ124^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ124^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 : Unknown 65.96s 66.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ124^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.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 22:21:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : PUZ124^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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_0853 [Bro09]
% 0.21/0.50
% 0.21/0.50 % Status : CounterCounterSatisfiable
% 0.21/0.50 % Rating : 1.00 v8.1.0, 0.60 v7.4.0, 0.50 v7.2.0, 0.33 v6.4.0, 0.67 v6.3.0, 0.33 v5.2.0
% 0.21/0.50 % Syntax : Number of formulae : 11 ( 2 unt; 8 typ; 2 def)
% 0.21/0.50 % Number of atoms : 21 ( 17 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 4 ( 7 avg)
% 0.21/0.50 % Number of connectives : 77 ( 0 ~; 3 |; 13 &; 58 @)
% 0.21/0.50 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 11 ( 4 avg)
% 0.21/0.50 % Number of types : 2 ( 0 usr)
% 0.21/0.50 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 9 ( 8 usr; 4 con; 0-4 aty)
% 0.21/0.50 % Number of variables : 13 ( 6 ^; 7 !; 0 ?; 13 :)
% 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 %------------------------------------------------------------------------------
% 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(cCKB6_BLACK_type,type,
% 0.21/0.50 cCKB6_BLACK: $i > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cCKB6_H_type,type,
% 0.21/0.50 cCKB6_H: $i > $i > $i > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cCKB6_BLACK_def,definition,
% 0.21/0.50 ( cCKB6_BLACK
% 0.21/0.50 = ( ^ [Xu: $i,Xv: $i] :
% 0.21/0.50 ! [Xw: $i > $i > $o] :
% 0.21/0.50 ( ( ( Xw @ c1 @ c1 )
% 0.21/0.50 & ! [Xj: $i,Xk: $i] :
% 0.21/0.50 ( ( Xw @ Xj @ Xk )
% 0.21/0.50 => ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
% 0.21/0.50 & ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
% 0.21/0.50 => ( Xw @ Xu @ Xv ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cCKB6_H_def,definition,
% 0.21/0.50 ( cCKB6_H
% 0.21/0.50 = ( ^ [Xx: $i,Xy: $i,Xu: $i,Xv: $i] :
% 0.21/0.50 ( ( cCKB6_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 ) )
% 0.21/0.50 = c4 )
% 0.21/0.50 & ( Xu
% 0.21/0.50 = ( s @ ( s @ Xx ) ) )
% 0.21/0.50 & ( Xv = Xy ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(cCKB_L43000,conjecture,
% 0.21/0.50 ! [Xx: $i,Xy: $i,Xu: $i,Xv: $i] :
% 0.21/0.50 ( ( ( cCKB6_H @ Xx @ Xy @ Xu @ Xv )
% 0.21/0.50 & ( ( g @ Xu @ Xv )
% 0.21/0.50 = c3 ) )
% 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
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.B7FrzcntYm/cvc5---1.0.5_11290.p...
% 0.21/0.50 (declare-sort $$unsorted 0)
% 0.21/0.50 (declare-fun tptp.c1 () $$unsorted)
% 0.21/0.50 (declare-fun tptp.c2 () $$unsorted)
% 0.21/0.50 (declare-fun tptp.c3 () $$unsorted)
% 0.21/0.50 (declare-fun tptp.c4 () $$unsorted)
% 0.21/0.50 (declare-fun tptp.g ($$unsorted $$unsorted) $$unsorted)
% 0.21/0.50 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 0.21/0.50 (declare-fun tptp.cCKB6_BLACK ($$unsorted $$unsorted) Bool)
% 0.21/0.50 (declare-fun tptp.cCKB6_H ($$unsorted $$unsorted $$unsorted $$unsorted) Bool)
% 0.21/0.50 (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))))))
% 65.96/66.18 (assert (= tptp.cCKB6_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.cCKB6_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)))))))))))))
% 65.96/66.18 (assert (not (forall ((Xx $$unsorted) (Xy $$unsorted) (Xu $$unsorted) (Xv $$unsorted)) (=> (and (@ (@ (@ (@ tptp.cCKB6_H Xx) Xy) Xu) Xv) (= (@ (@ tptp.g Xu) Xv) tptp.c3)) (and (= Xu (@ tptp.s (@ tptp.s (@ tptp.s Xx)))) (= Xv (@ tptp.s Xy)))))))
% 65.96/66.18 (set-info :filename cvc5---1.0.5_11290)
% 65.96/66.18 (check-sat-assuming ( true ))
% 65.96/66.18 ------- get file name : TPTP file name is PUZ124^5
% 65.96/66.18 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11290.smt2...
% 65.96/66.18 --- Run --ho-elim --full-saturate-quant at 10...
% 65.96/66.18 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.96/66.18 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.96/66.18 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.96/66.18 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.96/66.18 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.96/66.18 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.96/66.18 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.96/66.18 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 65.96/66.18 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 65.96/66.18 % cvc5---1.0.5 exiting
% 65.96/66.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------