TSTP Solution File: NUM828^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM828^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 299.46s 300.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM828^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 13:36:10 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.52 %----Proving TH0
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 % File : NUM828^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.22/0.54 % Domain : Number Theory (Induction on naturals)
% 0.22/0.54 % Problem : TPS problem from PA-THMS
% 0.22/0.54 % Version : Especial.
% 0.22/0.54 % English :
% 0.22/0.54
% 0.22/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.54 % Source : [Bro09]
% 0.22/0.54 % Names : tps_0742 [Bro09]
% 0.22/0.54
% 0.22/0.54 % Status : Theorem
% 0.22/0.54 % Rating : 1.00 v8.1.0, 0.91 v7.5.0, 1.00 v5.3.0
% 0.22/0.54 % Syntax : Number of formulae : 11 ( 3 unt; 7 typ; 3 def)
% 0.22/0.54 % Number of atoms : 16 ( 10 equ; 0 cnn)
% 0.22/0.54 % Maximal formula atoms : 4 ( 4 avg)
% 0.22/0.54 % Number of connectives : 28 ( 0 ~; 0 |; 3 &; 22 @)
% 0.22/0.54 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.22/0.54 % Maximal formula depth : 4 ( 2 avg)
% 0.22/0.54 % Number of types : 2 ( 1 usr)
% 0.22/0.54 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.22/0.54 % Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% 0.22/0.54 % Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% 0.22/0.54 % SPC : TH0_THM_EQU_NAR
% 0.22/0.54
% 0.22/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.54 % :
% 0.22/0.54 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.22/0.54 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 thf(n_type,type,
% 0.22/0.54 n: $tType ).
% 0.22/0.54
% 0.22/0.54 thf(c0_type,type,
% 0.22/0.54 c0: n ).
% 0.22/0.54
% 0.22/0.54 thf(cS_type,type,
% 0.22/0.54 cS: n > n ).
% 0.22/0.54
% 0.22/0.54 thf(c_plus_type,type,
% 0.22/0.54 c_plus: n > n > n ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_1_type,type,
% 0.22/0.54 cPA_1: $o ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_2_type,type,
% 0.22/0.54 cPA_2: $o ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_IND_EQ_type,type,
% 0.22/0.54 cPA_IND_EQ: $o ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_1_def,definition,
% 0.22/0.54 ( cPA_1
% 0.22/0.54 = ( ! [Xx: n] :
% 0.22/0.54 ( ( c_plus @ Xx @ c0 )
% 0.22/0.54 = Xx ) ) ) ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_2_def,definition,
% 0.22/0.54 ( cPA_2
% 0.22/0.54 = ( ! [Xx: n,Xy: n] :
% 0.22/0.54 ( ( c_plus @ Xx @ ( cS @ Xy ) )
% 0.22/0.54 = ( cS @ ( c_plus @ Xx @ Xy ) ) ) ) ) ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_IND_EQ_def,definition,
% 0.22/0.54 ( cPA_IND_EQ
% 0.22/0.54 = ( ! [Xp: n > n,Xq: n > n] :
% 0.22/0.54 ( ( ( ( Xp @ c0 )
% 0.22/0.54 = ( Xq @ c0 ) )
% 0.22/0.54 & ! [Xx: n] :
% 0.22/0.54 ( ( ( Xp @ Xx )
% 0.22/0.54 = ( Xq @ Xx ) )
% 0.22/0.54 => ( ( Xp @ ( cS @ Xx ) )
% 0.22/0.54 = ( Xq @ ( cS @ Xx ) ) ) ) )
% 0.22/0.54 => ! [Xx: n] :
% 0.22/0.54 ( ( Xp @ Xx )
% 0.22/0.54 = ( Xq @ Xx ) ) ) ) ) ).
% 0.22/0.54
% 0.22/0.54 thf(cPA_THM4,conjecture,
% 0.22/0.54 ( ( cPA_1
% 0.22/0.54 & cPA_2
% 0.22/0.54 & cPA_IND_EQ )
% 0.22/0.54 => ! [Xx: n,Xy: n] :
% 0.22/0.54 ( ( c_plus @ Xx @ Xy )
% 0.22/0.54 = ( c_plus @ Xy @ Xx ) ) ) ).
% 0.22/0.54
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jIlMifPe2J/cvc5---1.0.5_19485.p...
% 0.22/0.54 (declare-sort $$unsorted 0)
% 0.22/0.54 (declare-sort tptp.n 0)
% 0.22/0.54 (declare-fun tptp.c0 () tptp.n)
% 0.22/0.54 (declare-fun tptp.cS (tptp.n) tptp.n)
% 0.22/0.54 (declare-fun tptp.c_plus (tptp.n tptp.n) tptp.n)
% 0.22/0.54 (declare-fun tptp.cPA_1 () Bool)
% 0.22/0.54 (declare-fun tptp.cPA_2 () Bool)
% 0.22/0.54 (declare-fun tptp.cPA_IND_EQ () Bool)
% 0.22/0.54 (assert (= tptp.cPA_1 (forall ((Xx tptp.n)) (= (@ (@ tptp.c_plus Xx) tptp.c0) Xx))))
% 0.22/0.54 (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)))))))
% 0.22/0.54 (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)))))))
% 0.22/0.54 (assert (not (=> (and tptp.cPA_1 tptp.cPA_2 tptp.cPA_IND_EQ) (forall ((Xx tptp.n) (Xy tptp.n)) (= (@ (@ tptp.c_plus Xx) Xy) (@ (@ tptp.c_plus Xy) Xx))))))
% 0.22/0.54 (set-info :filename cvc5---1.0.5_19485)
% 0.22/0.54 (check-sat-assuming ( true ))
% 0.22/0.54 ------- get file name : TPTP file name is NUM828^5
% 0.22/0.54 ------- cvc5-thf : /export/starexe/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 22286 Alarm clock ( read result; case "$result" in
% 299.46/300.16 unsat)
% 299.46/300.16 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.46/300.16 ;;
% 299.46/300.16 sat)
% 299.46/300.16 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.46/300.16 ;;
% 299.46/300.16 esac; exit 1 )
% 299.46/300.17 Alarm clock
% 299.46/300.17 % cvc5---1.0.5 exiting
% 299.46/300.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------