TSTP Solution File: PUZ100^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : Theorem 0.24s 0.58s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n027.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 22:57:05 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.54 %----Proving TH0
% 0.24/0.58 %------------------------------------------------------------------------------
% 0.24/0.58 % File : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.24/0.58 % Domain : Puzzles
% 0.24/0.58 % Problem : TPS problem from CHECKERBOARD-THMS
% 0.24/0.58 % Version : Especial.
% 0.24/0.58 % English :
% 0.24/0.58
% 0.24/0.58 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.24/0.58 % Source : [Bro09]
% 0.24/0.58 % Names : tps_0596 [Bro09]
% 0.24/0.58
% 0.24/0.58 % Status : Theorem
% 0.24/0.58 % Rating : 0.08 v8.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.2.0
% 0.24/0.58 % Syntax : Number of formulae : 4 ( 2 unt; 2 typ; 1 def)
% 0.24/0.58 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 0.24/0.58 % Maximal formula atoms : 1 ( 1 avg)
% 0.24/0.58 % Number of connectives : 11 ( 0 ~; 0 |; 1 &; 8 @)
% 0.24/0.58 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.24/0.58 % Maximal formula depth : 4 ( 3 avg)
% 0.24/0.58 % Number of types : 2 ( 0 usr)
% 0.24/0.58 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.24/0.58 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.24/0.58 % Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 0.24/0.58 % SPC : TH0_THM_EQU_NAR
% 0.24/0.58
% 0.24/0.58 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.24/0.58 % project in the Department of Mathematical Sciences at Carnegie
% 0.24/0.58 % Mellon University. Distributed under the Creative Commons copyleft
% 0.24/0.58 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.24/0.58 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.24/0.58 %------------------------------------------------------------------------------
% 0.24/0.58 thf(s_type,type,
% 0.24/0.58 s: $i > $i ).
% 0.24/0.58
% 0.24/0.58 thf(cCKB_E2_type,type,
% 0.24/0.58 cCKB_E2: $i > $i > $o ).
% 0.24/0.58
% 0.24/0.58 thf(cCKB_E2_def,definition,
% 0.24/0.58 ( cCKB_E2
% 0.24/0.58 = ( ^ [Xx: $i,Xy: $i] :
% 0.24/0.58 ! [Xp: $i > $o] :
% 0.24/0.58 ( ( ( Xp @ Xx )
% 0.24/0.58 & ! [Xu: $i] :
% 0.24/0.58 ( ( Xp @ Xu )
% 0.24/0.58 => ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
% 0.24/0.58 => ( Xp @ Xy ) ) ) ) ).
% 0.24/0.58
% 0.24/0.58 thf(cCKB_L32000,conjecture,
% 0.24/0.58 ! [Xx: $i] : ( cCKB_E2 @ Xx @ Xx ) ).
% 0.24/0.58
% 0.24/0.58 %------------------------------------------------------------------------------
% 0.24/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.l0PFg1maSi/cvc5---1.0.5_19152.p...
% 0.24/0.58 (declare-sort $$unsorted 0)
% 0.24/0.58 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 0.24/0.58 (declare-fun tptp.cCKB_E2 ($$unsorted $$unsorted) Bool)
% 0.24/0.58 (assert (= tptp.cCKB_E2 (lambda ((Xx $$unsorted) (Xy $$unsorted)) (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp Xx) (forall ((Xu $$unsorted)) (=> (@ Xp Xu) (@ Xp (@ tptp.s (@ tptp.s Xu)))))) (@ Xp Xy))))))
% 0.24/0.58 (assert (not (forall ((Xx $$unsorted)) (@ (@ tptp.cCKB_E2 Xx) Xx))))
% 0.24/0.58 (set-info :filename cvc5---1.0.5_19152)
% 0.24/0.58 (check-sat-assuming ( true ))
% 0.24/0.58 ------- get file name : TPTP file name is PUZ100^5
% 0.24/0.58 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19152.smt2...
% 0.24/0.58 --- Run --ho-elim --full-saturate-quant at 10...
% 0.24/0.58 % SZS status Theorem for PUZ100^5
% 0.24/0.58 % SZS output start Proof for PUZ100^5
% 0.24/0.58 (
% 0.24/0.58 (let ((_let_1 (not (forall ((Xx $$unsorted)) (@ (@ tptp.cCKB_E2 Xx) Xx))))) (let ((_let_2 (= tptp.cCKB_E2 (lambda ((Xx $$unsorted) (Xy $$unsorted)) (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp Xx) (forall ((Xu $$unsorted)) (=> (@ Xp Xu) (@ Xp (@ tptp.s (@ tptp.s Xu)))))) (@ Xp Xy))))))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_2 _let_1 true)))))
% 0.24/0.58 )
% 0.24/0.58 % SZS output end Proof for PUZ100^5
% 0.24/0.58 % cvc5---1.0.5 exiting
% 0.24/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------