TSTP Solution File: NUM827^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 10:48:18 EDT 2023
% Result : Timeout 300.07s 280.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 14:58:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 %----Proving TH0
% 0.18/0.49 %------------------------------------------------------------------------------
% 0.18/0.49 % File : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.18/0.49 % Domain : Number Theory (Induction on naturals)
% 0.18/0.49 % Problem : TPS problem PA-THM2
% 0.18/0.49 % Version : Especial.
% 0.18/0.49 % English :
% 0.18/0.49
% 0.18/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.49 % Source : [Bro09]
% 0.18/0.49 % Names : tps_0375 [Bro09]
% 0.18/0.49 % : PA-THM2 [TPS]
% 0.18/0.49
% 0.18/0.49 % Status : Theorem
% 0.18/0.49 % Rating : 0.54 v8.1.0, 0.55 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v6.1.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.60 v5.3.0
% 0.18/0.49 % Syntax : Number of formulae : 11 ( 3 unt; 7 typ; 3 def)
% 0.18/0.49 % Number of atoms : 16 ( 10 equ; 0 cnn)
% 0.18/0.49 % Maximal formula atoms : 4 ( 4 avg)
% 0.18/0.49 % Number of connectives : 28 ( 0 ~; 0 |; 3 &; 22 @)
% 0.18/0.49 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.18/0.49 % Maximal formula depth : 4 ( 2 avg)
% 0.18/0.49 % Number of types : 2 ( 1 usr)
% 0.18/0.49 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.18/0.49 % Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% 0.18/0.49 % Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 0.18/0.49 % SPC : TH0_THM_EQU_NAR
% 0.18/0.49
% 0.18/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.49 % :
% 0.18/0.49 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.18/0.49 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.18/0.49 %------------------------------------------------------------------------------
% 0.18/0.49 thf(n_type,type,
% 0.18/0.49 n: $tType ).
% 0.18/0.49
% 0.18/0.49 thf(c0_type,type,
% 0.18/0.49 c0: n ).
% 0.18/0.49
% 0.18/0.49 thf(cS_type,type,
% 0.18/0.49 cS: n > n ).
% 0.18/0.49
% 0.18/0.49 thf(c_plus_type,type,
% 0.18/0.49 c_plus: n > n > n ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_1_type,type,
% 0.18/0.49 cPA_1: $o ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_2_type,type,
% 0.18/0.49 cPA_2: $o ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_IND_EQ_type,type,
% 0.18/0.49 cPA_IND_EQ: $o ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_1_def,definition,
% 0.18/0.49 ( cPA_1
% 0.18/0.49 = ( ! [Xx: n] :
% 0.18/0.49 ( ( c_plus @ Xx @ c0 )
% 0.18/0.49 = Xx ) ) ) ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_2_def,definition,
% 0.18/0.49 ( cPA_2
% 0.18/0.49 = ( ! [Xx: n,Xy: n] :
% 0.18/0.49 ( ( c_plus @ Xx @ ( cS @ Xy ) )
% 0.18/0.49 = ( cS @ ( c_plus @ Xx @ Xy ) ) ) ) ) ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_IND_EQ_def,definition,
% 0.18/0.49 ( cPA_IND_EQ
% 0.18/0.49 = ( ! [Xp: n > n,Xq: n > n] :
% 0.18/0.49 ( ( ( ( Xp @ c0 )
% 0.18/0.49 = ( Xq @ c0 ) )
% 0.18/0.49 & ! [Xx: n] :
% 0.18/0.49 ( ( ( Xp @ Xx )
% 0.18/0.49 = ( Xq @ Xx ) )
% 0.18/0.49 => ( ( Xp @ ( cS @ Xx ) )
% 0.18/0.49 = ( Xq @ ( cS @ Xx ) ) ) ) )
% 0.18/0.49 => ! [Xx: n] :
% 0.18/0.49 ( ( Xp @ Xx )
% 0.18/0.49 = ( Xq @ Xx ) ) ) ) ) ).
% 0.18/0.49
% 0.18/0.49 thf(cPA_THM2,conjecture,
% 0.18/0.49 ( ( cPA_1
% 0.18/0.49 & cPA_2
% 0.18/0.49 & cPA_IND_EQ )
% 0.18/0.49 => ! [Xx: n] :
% 0.18/0.49 ( ( c_plus @ Xx @ c0 )
% 0.18/0.49 = ( c_plus @ c0 @ Xx ) ) ) ).
% 0.18/0.49
% 0.18/0.49 %------------------------------------------------------------------------------
% 0.18/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.P1a9DsPCBf/cvc5---1.0.5_31939.p...
% 0.18/0.49 (declare-sort $$unsorted 0)
% 0.18/0.49 (declare-sort tptp.n 0)
% 0.18/0.49 (declare-fun tptp.c0 () tptp.n)
% 0.18/0.49 (declare-fun tptp.cS (tptp.n) tptp.n)
% 0.18/0.49 (declare-fun tptp.c_plus (tptp.n tptp.n) tptp.n)
% 0.18/0.49 (declare-fun tptp.cPA_1 () Bool)
% 0.18/0.49 (declare-fun tptp.cPA_2 () Bool)
% 0.18/0.49 (declare-fun tptp.cPA_IND_EQ () Bool)
% 0.18/0.49 (assert (= tptp.cPA_1 (forall ((Xx tptp.n)) (= (@ (@ tptp.c_plus Xx) tptp.c0) Xx))))
% 0.18/0.49 (assert (= tptp.cPA_2 (forall ((Xx tptp.n) (Xy tptp.n)) (let ((_let_1 (@ tptp.c_plus Xx))) (= (@ _let_1 (@ tptp.cS Xy)) (@ tptp.cS (@ _let_1 Xy)))))))
% 0.18/0.49 (assert (= tptp.cPA_IND_EQ (forall ((Xp (-> tptp.n tptp.n)) (Xq (-> tptp.n tptp.n))) (=> (and (= (@ Xp tptp.c0) (@ Xq tptp.c0)) (forall ((Xx tptp.n)) (let ((_let_1 (@ tptp.cS Xx))) (=> (= (@ Xp Xx) (@ Xq Xx)) (= (@ Xp _let_1) (@ Xq _let_1)))))) (forall ((Xx tptp.n)) (= (@ Xp Xx) (@ Xq Xx)))))))
% 0.18/0.49 (assert (not (=> (and tptp.cPA_1 tptp.cPA_2 tptp.cPA_IND_EQ) (forall ((Xx tptp.n)) (= (@ (@ tptp.c_plus Xx) tptp.c0) (@ (@ tptp.c_plus tptp.c0) Xx))))))
% 0.18/0.49 (set-info cvc5 interrupted by timeout.
% 300.07/280.66 /export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 1658 CPU time limit exceeded (core dumped) ( read result; case "$result" in
% 300.07/280.66 unsat)
% 300.07/280.66 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.07/280.66 ;;
% 300.07/280.66 sat)
% 300.07/280.66 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.07/280.66 ;;
% 300.07/280.66 esac; exit 1 )
% 300.07/280.67 Cputime limit exceeded (core dumped) (core dumped)
% 300.07/280.67 % cvc5---1.0.5 exiting
% 300.07/280.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------