TSTP Solution File: NUM817^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM817^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 10:48:16 EDT 2023
% Result : Timeout 300.21s 290.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM817^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 11:25:13 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 %----Proving TH0
% 70.77/61.01 %------------------------------------------------------------------------------
% 70.77/61.01 % File : NUM817^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 70.77/61.01 % Domain : Number Theory (Induction on naturals)
% 70.77/61.01 % Problem : TPS problem from IND-THMS
% 70.77/61.01 % Version : Especial.
% 70.77/61.01 % English :
% 70.77/61.01
% 70.77/61.01 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 70.77/61.01 % Source : [Bro09]
% 70.77/61.01 % Names : tps_0823 [Bro09]
% 70.77/61.01
% 70.77/61.01 % Status : Theorem
% 70.77/61.01 % Rating : 0.54 v8.1.0, 0.45 v7.5.0, 0.29 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.57 v5.5.0, 1.00 v5.2.0
% 70.77/61.01 % Syntax : Number of formulae : 7 ( 2 unt; 4 typ; 2 def)
% 70.77/61.01 % Number of atoms : 9 ( 5 equ; 0 cnn)
% 70.77/61.01 % Maximal formula atoms : 4 ( 3 avg)
% 70.77/61.01 % Number of connectives : 19 ( 2 ~; 0 |; 2 &; 11 @)
% 70.77/61.01 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 70.77/61.01 % Maximal formula depth : 6 ( 3 avg)
% 70.77/61.01 % Number of types : 2 ( 0 usr)
% 70.77/61.01 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 70.77/61.01 % Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% 70.77/61.01 % Number of variables : 8 ( 2 ^; 5 !; 1 ?; 8 :)
% 70.77/61.01 % SPC : TH0_THM_EQU_NAR
% 70.77/61.01
% 70.77/61.01 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 70.77/61.01 % project in the Department of Mathematical Sciences at Carnegie
% 70.77/61.01 % Mellon University. Distributed under the Creative Commons copyleft
% 70.77/61.01 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 70.77/61.01 % :
% 70.77/61.01 % Bugfixes : v5.2.0 - Added missing type declarations.
% 70.77/61.01 %------------------------------------------------------------------------------
% 70.77/61.01 thf(c0_type,type,
% 70.77/61.01 c0: $i ).
% 70.77/61.01
% 70.77/61.01 thf(cS_type,type,
% 70.77/61.01 cS: $i > $i ).
% 70.77/61.01
% 70.77/61.01 thf(cEVEN1_type,type,
% 70.77/61.01 cEVEN1: $i > $o ).
% 70.77/61.01
% 70.77/61.01 thf(cODD1_type,type,
% 70.77/61.01 cODD1: $i > $o ).
% 70.77/61.01
% 70.77/61.01 thf(cEVEN1_def,definition,
% 70.77/61.01 ( cEVEN1
% 70.77/61.01 = ( ^ [Xn: $i] :
% 70.77/61.01 ! [Xp: $i > $o] :
% 70.77/61.01 ( ( ( Xp @ c0 )
% 70.77/61.01 & ! [Xx: $i] :
% 70.77/61.01 ( ( Xp @ Xx )
% 70.77/61.01 => ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
% 70.77/61.01 => ( Xp @ Xn ) ) ) ) ).
% 70.77/61.01
% 70.77/61.01 thf(cODD1_def,definition,
% 70.77/61.01 ( cODD1
% 70.77/61.01 = ( ^ [Xn: $i] :
% 70.77/61.01 ~ ( cEVEN1 @ Xn ) ) ) ).
% 70.77/61.01
% 70.77/61.01 thf(cTHM405,conjecture,
% 70.77/61.01 ( ( ! [Xu: $i] :
% 70.77/61.01 ( ( cS @ Xu )
% 70.77/61.01 != c0 )
% 70.77/61.01 & ! [Xv: $i,Xw: $i] :
% 70.77/61.01 ( ( ( cS @ Xv )
% 70.77/61.01 = ( cS @ Xw ) )
% 70.77/61.01 => ( Xv = Xw ) ) )
% 70.77/61.01 => ? [Xn: $i] : ( cODD1 @ Xn ) ) ).
% 70.77/61.01
% 70.77/61.01 %------------------------------------------------------------------------------
% 70.77/61.01 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ylbFSVbx6g/cvc5---1.0.5_18160.p...
% 70.77/61.01 (declare-sort $$unsorted 0)
% 70.77/61.01 (declare-fun tptp.c0 () $$unsorted)
% 70.77/61.01 (declare-fun tptp.cS ($$unsorted) $$unsorted)
% 70.77/61.01 (declare-fun tptp.cEVEN1 ($$unsorted) Bool)
% 70.77/61.01 (declare-fun tptp.cODD1 ($$unsorted) Bool)
% 70.77/61.01 (assert (= tptp.cEVEN1 (lambda ((Xn $$unsorted)) (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp tptp.c0) (forall ((Xx $$unsorted)) (=> (@ Xp Xx) (@ Xp (@ tptp.cS (@ tptp.cS Xx)))))) (@ Xp Xn))))))
% 70.77/61.01 (assert (= tptp.cODD1 (lambda ((Xn $$unsorted)) (not (@ tptp.cEVEN1 Xn)))))
% 70.77/61.01 (assert (not (=> (and (forall ((Xu $$unsorted)) (not (= (@ tptp.cS Xu) tptp.c0))) (forall ((Xv $$unsorted) (Xw $$unsorted)) (=> (= (@ tptp.cS Xv) (@ tptp.cS Xw)) (= Xv Xw)))) (exists ((Xn $$unsorted)) (@ tptp.cODD1 Xn)))))
% 70.77/61.01 (set-info :filename cvc5---1.0.5_18160)
% 70.77/61.01 (check-sat-assuming ( true ))
% 70.77/61.01 ------- get file name : TPTP file name is NUM817^5
% 70.77/61.01 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18160.smt2...
% 70.77/61.01 --- Run --ho-elim --full-saturate-quant at 10...
% 70.77/61.01 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 70.77/61.01 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 70.77/61.01 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 70.77/61.01 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 70.77/61.01 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 70.77/61.01 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 70.77/61.01 --- Run --ho-elim --full-saturate-quacvc5 interrupted by timeout.
% 300.21/290.61 /export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 21953 CPU time limit exceeded (core dumped) ( read result; case "$result" in
% 300.21/290.61 unsat)
% 300.21/290.61 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.21/290.61 ;;
% 300.21/290.61 sat)
% 300.21/290.61 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.21/290.61 ;;
% 300.21/290.61 esac; exit 1 )
% 300.21/290.62 Cputime limit exceeded (core dumped) (core dumped)
% 300.21/290.62 % cvc5---1.0.5 exiting
% 300.21/290.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------