TSTP Solution File: NUM819^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM819^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 299.83s 300.13s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM819^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:29:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 65.80/66.01 %------------------------------------------------------------------------------
% 65.80/66.01 % File : NUM819^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 65.80/66.01 % Domain : Number Theory (Induction on naturals)
% 65.80/66.01 % Problem : TPS problem from IND-THMS
% 65.80/66.01 % Version : Especial.
% 65.80/66.01 % English :
% 65.80/66.01
% 65.80/66.01 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 65.80/66.01 % Source : [Bro09]
% 65.80/66.01 % Names : tps_0874 [Bro09]
% 65.80/66.01
% 65.80/66.01 % Status : Unknown
% 65.80/66.01 % Rating : 1.00 v5.2.0
% 65.80/66.01 % Syntax : Number of formulae : 7 ( 1 unt; 5 typ; 1 def)
% 65.80/66.01 % Number of atoms : 11 ( 1 equ; 0 cnn)
% 65.80/66.01 % Maximal formula atoms : 9 ( 5 avg)
% 65.80/66.01 % Number of connectives : 29 ( 0 ~; 1 |; 5 &; 18 @)
% 65.80/66.01 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 65.80/66.01 % Maximal formula depth : 11 ( 6 avg)
% 65.80/66.01 % Number of types : 2 ( 0 usr)
% 65.80/66.01 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 65.80/66.01 % Number of symbols : 6 ( 5 usr; 2 con; 0-2 aty)
% 65.80/66.01 % Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% 65.80/66.01 % SPC : TH0_UNK_EQU_NAR
% 65.80/66.01
% 65.80/66.01 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 65.80/66.01 % project in the Department of Mathematical Sciences at Carnegie
% 65.80/66.01 % Mellon University. Distributed under the Creative Commons copyleft
% 65.80/66.01 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 65.80/66.01 % :
% 65.80/66.01 % Bugfixes : v5.2.0 - Added missing type declarations.
% 65.80/66.01 %------------------------------------------------------------------------------
% 65.80/66.01 thf(c0_type,type,
% 65.80/66.01 c0: $i ).
% 65.80/66.01
% 65.80/66.01 thf(cEVEN_type,type,
% 65.80/66.01 cEVEN: $i > $o ).
% 65.80/66.01
% 65.80/66.01 thf(cODD_type,type,
% 65.80/66.01 cODD: $i > $o ).
% 65.80/66.01
% 65.80/66.01 thf(cS_type,type,
% 65.80/66.01 cS: $i > $i ).
% 65.80/66.01
% 65.80/66.01 thf(cIND_type,type,
% 65.80/66.01 cIND: $o ).
% 65.80/66.01
% 65.80/66.01 thf(cIND_def,definition,
% 65.80/66.01 ( cIND
% 65.80/66.01 = ( ! [Xp: $i > $o] :
% 65.80/66.01 ( ( ( Xp @ c0 )
% 65.80/66.01 & ! [Xx: $i] :
% 65.80/66.01 ( ( Xp @ Xx )
% 65.80/66.01 => ( Xp @ ( cS @ Xx ) ) ) )
% 65.80/66.01 => ! [Xx: $i] : ( Xp @ Xx ) ) ) ) ).
% 65.80/66.01
% 65.80/66.01 thf(cEVEN_ODD_1,conjecture,
% 65.80/66.01 ( ( ( cEVEN @ c0 )
% 65.80/66.01 & ! [Xn: $i] :
% 65.80/66.01 ( ( cEVEN @ Xn )
% 65.80/66.01 => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
% 65.80/66.01 & ( cODD @ ( cS @ c0 ) )
% 65.80/66.01 & ! [Xn: $i] :
% 65.80/66.01 ( ( cODD @ Xn )
% 65.80/66.01 => ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
% 65.80/66.01 & cIND )
% 65.80/66.01 => ! [Xn: $i] :
% 65.80/66.01 ( ( cEVEN @ Xn )
% 65.80/66.01 | ( cODD @ Xn ) ) ) ).
% 65.80/66.01
% 65.80/66.01 %------------------------------------------------------------------------------
% 65.80/66.01 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.X3Eg2qJSvB/cvc5---1.0.5_11455.p...
% 65.80/66.01 (declare-sort $$unsorted 0)
% 65.80/66.01 (declare-fun tptp.c0 () $$unsorted)
% 65.80/66.01 (declare-fun tptp.cEVEN ($$unsorted) Bool)
% 65.80/66.01 (declare-fun tptp.cODD ($$unsorted) Bool)
% 65.80/66.01 (declare-fun tptp.cS ($$unsorted) $$unsorted)
% 65.80/66.01 (declare-fun tptp.cIND () Bool)
% 65.80/66.01 (assert (= tptp.cIND (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp tptp.c0) (forall ((Xx $$unsorted)) (=> (@ Xp Xx) (@ Xp (@ tptp.cS Xx))))) (forall ((Xx $$unsorted)) (@ Xp Xx))))))
% 65.80/66.01 (assert (not (=> (and (@ tptp.cEVEN tptp.c0) (forall ((Xn $$unsorted)) (=> (@ tptp.cEVEN Xn) (@ tptp.cEVEN (@ tptp.cS (@ tptp.cS Xn))))) (@ tptp.cODD (@ tptp.cS tptp.c0)) (forall ((Xn $$unsorted)) (=> (@ tptp.cODD Xn) (@ tptp.cODD (@ tptp.cS (@ tptp.cS Xn))))) tptp.cIND) (forall ((Xn $$unsorted)) (or (@ tptp.cEVEN Xn) (@ tptp.cODD Xn))))))
% 65.80/66.01 (set-info :filename cvc5---1.0.5_11455)
% 65.80/66.01 (check-sat-assuming ( true ))
% 65.80/66.01 ------- get file name : TPTP file name is NUM819^5
% 65.80/66.01 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11455.smt2...
% 65.80/66.01 --- Run --ho-elim --full-saturate-quant at 10...
% 65.80/66.01 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.80/66.01 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.80/66.01 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.80/66.01 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.80/66.01 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.80/66.01 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.80/66.01 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.80/66.01 --- Run/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 15507 Alarm clock ( read result; case "$result" in
% 299.83/300.13 unsat)
% 299.83/300.13 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.83/300.13 ;;
% 299.83/300.13 sat)
% 299.83/300.13 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.83/300.13 ;;
% 299.83/300.13 esac; exit 1 )
% 299.83/300.14 Alarm clock
% 299.83/300.14 % cvc5---1.0.5 exiting
% 299.83/300.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------