TSTP Solution File: NUM810^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM810^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 10:48:15 EDT 2023
% Result : Timeout 300.00s 300.22s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM810^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 13:28:17 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 55.65/55.91 %------------------------------------------------------------------------------
% 55.65/55.91 % File : NUM810^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 55.65/55.91 % Domain : Number Theory (Induction on naturals)
% 55.65/55.91 % Problem : TPS problem THM140
% 55.65/55.91 % Version : Especial.
% 55.65/55.91 % English : Existence of doubles of naturals.
% 55.65/55.91
% 55.65/55.91 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 55.65/55.91 % Source : [Bro09]
% 55.65/55.91 % Names : tps_0347 [Bro09]
% 55.65/55.91 % : THM140 [TPS]
% 55.65/55.91 % : THM579 [TPS]
% 55.65/55.91
% 55.65/55.91 % Status : Theorem
% 55.65/55.91 % Rating : 0.77 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.67 v7.2.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.60 v5.3.0, 0.80 v5.2.0
% 55.65/55.91 % Syntax : Number of formulae : 6 ( 1 unt; 4 typ; 1 def)
% 55.65/55.91 % Number of atoms : 7 ( 1 equ; 0 cnn)
% 55.65/55.91 % Maximal formula atoms : 5 ( 3 avg)
% 55.65/55.91 % Number of connectives : 23 ( 0 ~; 0 |; 3 &; 16 @)
% 55.65/55.91 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 55.65/55.91 % Maximal formula depth : 10 ( 6 avg)
% 55.65/55.91 % Number of types : 2 ( 0 usr)
% 55.65/55.91 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 55.65/55.91 % Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% 55.65/55.91 % Number of variables : 7 ( 0 ^; 6 !; 1 ?; 7 :)
% 55.65/55.91 % SPC : TH0_THM_EQU_NAR
% 55.65/55.91
% 55.65/55.91 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 55.65/55.91 % project in the Department of Mathematical Sciences at Carnegie
% 55.65/55.91 % Mellon University. Distributed under the Creative Commons copyleft
% 55.65/55.91 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 55.65/55.91 % :
% 55.65/55.91 % Bugfixes : v5.2.0 - Added missing type declarations.
% 55.65/55.91 %------------------------------------------------------------------------------
% 55.65/55.91 thf(c0_type,type,
% 55.65/55.91 c0: $i ).
% 55.65/55.91
% 55.65/55.91 thf(cDOUBLE_type,type,
% 55.65/55.91 cDOUBLE: $i > $i > $o ).
% 55.65/55.91
% 55.65/55.91 thf(cS_type,type,
% 55.65/55.91 cS: $i > $i ).
% 55.65/55.91
% 55.65/55.91 thf(cIND_type,type,
% 55.65/55.91 cIND: $o ).
% 55.65/55.91
% 55.65/55.91 thf(cIND_def,definition,
% 55.65/55.91 ( cIND
% 55.65/55.91 = ( ! [Xp: $i > $o] :
% 55.65/55.91 ( ( ( Xp @ c0 )
% 55.65/55.91 & ! [Xx: $i] :
% 55.65/55.91 ( ( Xp @ Xx )
% 55.65/55.91 => ( Xp @ ( cS @ Xx ) ) ) )
% 55.65/55.91 => ! [Xx: $i] : ( Xp @ Xx ) ) ) ) ).
% 55.65/55.91
% 55.65/55.91 thf(cTHM140,conjecture,
% 55.65/55.91 ( ( cIND
% 55.65/55.91 & ( cDOUBLE @ c0 @ c0 )
% 55.65/55.91 & ! [Xx: $i,Xy: $i] :
% 55.65/55.91 ( ( cDOUBLE @ Xx @ Xy )
% 55.65/55.91 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
% 55.65/55.91 => ! [Xx: $i] :
% 55.65/55.91 ? [Xy: $i] : ( cDOUBLE @ Xx @ Xy ) ) ).
% 55.65/55.91
% 55.65/55.91 %------------------------------------------------------------------------------
% 55.65/55.91 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hAGXIas4ub/cvc5---1.0.5_24190.p...
% 55.65/55.91 (declare-sort $$unsorted 0)
% 55.65/55.91 (declare-fun tptp.c0 () $$unsorted)
% 55.65/55.91 (declare-fun tptp.cDOUBLE ($$unsorted $$unsorted) Bool)
% 55.65/55.91 (declare-fun tptp.cS ($$unsorted) $$unsorted)
% 55.65/55.91 (declare-fun tptp.cIND () Bool)
% 55.65/55.91 (assert (= tptp.cIND (forall ((Xp (-> $$unsorted Bool))) (=> (and (@ Xp tptp.c0) (forall ((Xx $$unsorted)) (=> (@ Xp Xx) (@ Xp (@ tptp.cS Xx))))) (forall ((Xx $$unsorted)) (@ Xp Xx))))))
% 55.65/55.91 (assert (not (=> (and tptp.cIND (@ (@ tptp.cDOUBLE tptp.c0) tptp.c0) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (@ (@ tptp.cDOUBLE Xx) Xy) (@ (@ tptp.cDOUBLE (@ tptp.cS Xx)) (@ tptp.cS (@ tptp.cS Xy)))))) (forall ((Xx $$unsorted)) (exists ((Xy $$unsorted)) (@ (@ tptp.cDOUBLE Xx) Xy))))))
% 55.65/55.91 (set-info :filename cvc5---1.0.5_24190)
% 55.65/55.91 (check-sat-assuming ( true ))
% 55.65/55.91 ------- get file name : TPTP file name is NUM810^5
% 55.65/55.91 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24190.smt2...
% 55.65/55.91 --- Run --ho-elim --full-saturate-quant at 10...
% 55.65/55.91 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 55.65/55.91 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 55.65/55.91 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 55.65/55.91 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 55.65/55.91 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 55.65/55.91 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 55.65/55.91 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10../export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 26586 Alarm clock ( read result; case "$result" in
% 300.00/300.22 unsat)
% 300.00/300.22 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.00/300.22 ;;
% 300.00/300.22 sat)
% 300.00/300.22 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.00/300.22 ;;
% 300.00/300.22 esac; exit 1 )
% 300.00/300.23 Alarm clock
% 300.00/300.23 % cvc5---1.0.5 exiting
% 300.00/300.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------