TSTP Solution File: SEV294^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV294^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 19:22:07 EDT 2023
% Result : Timeout 300.00s 300.25s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV294^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n011.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 03:41:52 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.46 %----Proving TH0
% 0.20/0.48 %------------------------------------------------------------------------------
% 0.20/0.48 % File : SEV294^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.20/0.48 % Domain : Set Theory
% 0.20/0.48 % Problem : TPS problem TTTP6102
% 0.20/0.48 % Version : Especial.
% 0.20/0.48 % English :
% 0.20/0.48
% 0.20/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.48 % Source : [Bro09]
% 0.20/0.48 % Names : tps_0486 [Bro09]
% 0.20/0.48 % : TTTP6102 [TPS]
% 0.20/0.48
% 0.20/0.48 % Status : Theorem
% 0.20/0.48 % Rating : 1.00 v6.2.0
% 0.20/0.48 % Syntax : Number of formulae : 7 ( 3 unt; 3 typ; 3 def)
% 0.20/0.48 % Number of atoms : 13 ( 4 equ; 0 cnn)
% 0.20/0.48 % Maximal formula atoms : 4 ( 3 avg)
% 0.20/0.48 % Number of connectives : 28 ( 2 ~; 0 |; 4 &; 16 @)
% 0.20/0.48 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.20/0.48 % Maximal formula depth : 9 ( 3 avg)
% 0.20/0.48 % Number of types : 2 ( 0 usr)
% 0.20/0.48 % Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% 0.20/0.48 % Number of symbols : 4 ( 3 usr; 0 con; 1-2 aty)
% 0.20/0.48 % Number of variables : 12 ( 5 ^; 5 !; 2 ?; 12 :)
% 0.20/0.48 % SPC : TH0_THM_EQU_NAR
% 0.20/0.48
% 0.20/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.48 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.20/0.48 % : v6.2.0 - Reordered definitions.
% 0.20/0.48 %------------------------------------------------------------------------------
% 0.20/0.48 thf(cNAT_type,type,
% 0.20/0.48 cNAT: ( ( $i > $o ) > $o ) > $o ).
% 0.20/0.48
% 0.20/0.48 thf(cSUCC_type,type,
% 0.20/0.48 cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.20/0.48
% 0.20/0.48 thf(cZERO_type,type,
% 0.20/0.48 cZERO: ( $i > $o ) > $o ).
% 0.20/0.48
% 0.20/0.48 thf(cZERO_def,definition,
% 0.20/0.48 ( cZERO
% 0.20/0.48 = ( ^ [Xp: $i > $o] :
% 0.20/0.48 ~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
% 0.20/0.48
% 0.20/0.48 thf(cSUCC_def,definition,
% 0.20/0.48 ( cSUCC
% 0.20/0.48 = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 0.20/0.48 ? [Xx: $i] :
% 0.20/0.48 ( ( Xp @ Xx )
% 0.20/0.48 & ( Xn
% 0.20/0.48 @ ^ [Xt: $i] :
% 0.20/0.48 ( ( Xt != Xx )
% 0.20/0.48 & ( Xp @ Xt ) ) ) ) ) ) ).
% 0.20/0.48
% 0.20/0.48 thf(cNAT_def,definition,
% 0.20/0.48 ( cNAT
% 0.20/0.48 = ( ^ [Xn: ( $i > $o ) > $o] :
% 0.20/0.48 ! [Xp: ( ( $i > $o ) > $o ) > $o] :
% 0.20/0.48 ( ( ( Xp @ cZERO )
% 0.20/0.48 & ! [Xx: ( $i > $o ) > $o] :
% 0.20/0.48 ( ( Xp @ Xx )
% 0.20/0.48 => ( Xp @ ( cSUCC @ Xx ) ) ) )
% 0.20/0.48 => ( Xp @ Xn ) ) ) ) ).
% 0.20/0.48
% 0.20/0.48 thf(cTTTP6102,conjecture,
% 0.20/0.48 ! [Xp: ( ( $i > $o ) > $o ) > $o] :
% 0.20/0.48 ( ( ( Xp @ cZERO )
% 0.20/0.48 & ! [Xx: ( $i > $o ) > $o] :
% 0.20/0.48 ( ( cNAT @ Xx )
% 0.20/0.48 => ( ( Xp @ Xx )
% 0.20/0.48 => ( Xp @ ( cSUCC @ Xx ) ) ) ) )
% 0.20/0.48 => ! [Xm: ( $i > $o ) > $o] :
% 0.20/0.48 ( ( cNAT @ Xm )
% 0.20/0.48 => ( Xp @ Xm ) ) ) ).
% 0.20/0.48
% 0.20/0.48 %------------------------------------------------------------------------------
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6uuDPDUC70/cvc5---1.0.5_30746.p...
% 0.20/0.48 (declare-sort $$unsorted 0)
% 0.20/0.48 (declare-fun tptp.cNAT ((-> (-> $$unsorted Bool) Bool)) Bool)
% 0.20/0.48 (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.20/0.48 (declare-fun tptp.cZERO ((-> $$unsorted Bool)) Bool)
% 0.20/0.48 (assert (= tptp.cZERO (lambda ((Xp (-> $$unsorted Bool))) (not (exists ((Xx $$unsorted)) (@ Xp Xx))))))
% 0.20/0.48 (assert (= tptp.cSUCC (lambda ((Xn (-> (-> $$unsorted Bool) Bool)) (Xp (-> $$unsorted Bool))) (exists ((Xx $$unsorted)) (and (@ Xp Xx) (@ Xn (lambda ((Xt $$unsorted)) (and (not (= Xt Xx)) (@ Xp Xt)))))))))
% 0.20/0.48 (assert (= tptp.cNAT (lambda ((Xn (-> (-> $$unsorted Bool) Bool))) (forall ((Xp (-> (-> (-> $$unsorted Bool) Bool) Bool))) (=> (and (@ Xp tptp.cZERO) (forall ((Xx (-> (-> $$unsorted Bool) Bool))) (=> (@ Xp Xx) (@ Xp (@ tptp.cSUCC Xx))))) (@ Xp Xn))))))
% 0.20/0.48 (assert (not (forall ((Xp (-> (-> (-> $$unsorted Bool) Bool) Bool))) (=> (and (@ Xp tptp.cZERO) (forall ((Xx (-> (-> $$unsorted Bool) Bool))) (=> (@ tptp.cNAT Xx) (=> (@ Xp Xx) (@ Xp (@ tptp.cSUCC Xx)))))) (forall ((Xm (-> (-> $$unsorted Bool) Bool))) (=> (@ tptp.cNAT Xm) (@ Xp Xm)))))))
% 0.20/0.48 (set-info :filename cvc5---1.0.5_30746)
% 0.20/0.48 (check-sat-assuming ( true /export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 31175 Alarm clock ( read result; case "$result" in
% 300.00/300.25 unsat)
% 300.00/300.25 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.00/300.25 ;;
% 300.00/300.25 sat)
% 300.00/300.25 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.00/300.25 ;;
% 300.00/300.25 esac; exit 1 )
% 300.00/300.26 Alarm clock
% 300.00/300.26 % cvc5---1.0.5 exiting
% 300.00/300.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------