TSTP Solution File: SEV297^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV297^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 19:22:08 EDT 2023
% Result : Timeout 299.90s 300.25s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEV297^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n019.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 : Thu Aug 24 03:32:29 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TH0
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 % File : SEV297^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.23/0.54 % Domain : Set Theory
% 0.23/0.54 % Problem : TPS problem from TTTP-NATS-THMS
% 0.23/0.54 % Version : Especial.
% 0.23/0.54 % English :
% 0.23/0.54
% 0.23/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.23/0.54 % Source : [Bro09]
% 0.23/0.54 % Names : tps_0688 [Bro09]
% 0.23/0.54
% 0.23/0.54 % Status : Unknown
% 0.23/0.54 % Rating : 1.00 v6.2.0
% 0.23/0.54 % Syntax : Number of formulae : 11 ( 4 unt; 6 typ; 4 def)
% 0.23/0.54 % Number of atoms : 18 ( 5 equ; 0 cnn)
% 0.23/0.54 % Maximal formula atoms : 6 ( 3 avg)
% 0.23/0.54 % Number of connectives : 26 ( 2 ~; 0 |; 5 &; 15 @)
% 0.23/0.54 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.23/0.54 % Maximal formula depth : 6 ( 2 avg)
% 0.23/0.54 % Number of types : 2 ( 0 usr)
% 0.23/0.54 % Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% 0.23/0.54 % Number of symbols : 7 ( 6 usr; 0 con; 1-2 aty)
% 0.23/0.54 % Number of variables : 12 ( 6 ^; 3 !; 3 ?; 12 :)
% 0.23/0.54 % SPC : TH0_UNK_EQU_NAR
% 0.23/0.54
% 0.23/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.23/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.23/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.23/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.23/0.54 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.23/0.54 % : v6.2.0 - Reordered definitions.
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 thf(cB_type,type,
% 0.23/0.54 cB: $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cC_type,type,
% 0.23/0.54 cC: $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cFINITE_type,type,
% 0.23/0.54 cFINITE: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cNAT_type,type,
% 0.23/0.54 cNAT: ( ( $i > $o ) > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cSUCC_type,type,
% 0.23/0.54 cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cZERO_type,type,
% 0.23/0.54 cZERO: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(cZERO_def,definition,
% 0.23/0.54 ( cZERO
% 0.23/0.54 = ( ^ [Xp: $i > $o] :
% 0.23/0.54 ~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(cSUCC_def,definition,
% 0.23/0.54 ( cSUCC
% 0.23/0.54 = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 0.23/0.54 ? [Xx: $i] :
% 0.23/0.54 ( ( Xp @ Xx )
% 0.23/0.54 & ( Xn
% 0.23/0.54 @ ^ [Xt: $i] :
% 0.23/0.54 ( ( Xt != Xx )
% 0.23/0.54 & ( Xp @ Xt ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(cNAT_def,definition,
% 0.23/0.54 ( cNAT
% 0.23/0.54 = ( ^ [Xn: ( $i > $o ) > $o] :
% 0.23/0.54 ! [Xp: ( ( $i > $o ) > $o ) > $o] :
% 0.23/0.54 ( ( ( Xp @ cZERO )
% 0.23/0.54 & ! [Xx: ( $i > $o ) > $o] :
% 0.23/0.54 ( ( Xp @ Xx )
% 0.23/0.54 => ( Xp @ ( cSUCC @ Xx ) ) ) )
% 0.23/0.54 => ( Xp @ Xn ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(cFINITE_def,definition,
% 0.23/0.54 ( cFINITE
% 0.23/0.54 = ( ^ [Xp: $i > $o] :
% 0.23/0.54 ? [Xn: ( $i > $o ) > $o] :
% 0.23/0.54 ( ( cNAT @ Xn )
% 0.23/0.54 & ( Xn @ Xp ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(cTHM531B_pme,conjecture,
% 0.23/0.54 ( ( ( cFINITE @ cC )
% 0.23/0.54 & ! [Xx: $i] :
% 0.23/0.54 ( ( cB @ Xx )
% 0.23/0.54 => ( cC @ Xx ) ) )
% 0.23/0.54 => ( cFINITE @ cB ) ) ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FgX3Leo5CE/cvc5---1.0.5_5633.p...
% 0.23/0.54 (declare-sort $$unsorted 0)
% 0.23/0.54 (declare-fun tptp.cB ($$unsorted) Bool)
% 0.23/0.54 (declare-fun tptp.cC ($$unsorted) Bool)
% 0.23/0.54 (declare-fun tptp.cFINITE ((-> $$unsorted Bool)) Bool)
% 0.23/0.54 (declare-fun tptp.cNAT ((-> (-> $$unsorted Bool) Bool)) Bool)
% 0.23/0.54 (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.23/0.54 (declare-fun tptp.cZERO ((-> $$unsorted Bool)) Bool)
% 0.23/0.54 (assert (= tptp.cZERO (lambda ((Xp (-> $$unsorted Bool))) (not (exists ((Xx $$unsorted)) (@ Xp Xx))))))
% 0.23/0.54 (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)))))))))
% 0.23/0.54 (assert (= tptp.cNAT (lambda ((Xn (-> (-> $$unsorted Bool) Bool))) (forall ((Xp (-> (-> (-> $$unsorted Bool) Bool) Bool))) (=> (and (@ Xp tptp.cZERO) (forall ((Xx (-> (-> $$unsorted Bool) Bool))) (=> (@ Xp Xx) (@ Xp (@ tptp.cSUCC Xx))))) (@ Xp Xn))))))
% 0.23/0.54 (assert (= tptp.cFINITE (lambda ((Xp (-> $$unsorted Bool))) (exists ((Xn (-> (-> $$unsorted Bool) Bool))) (an/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 5769 Alarm clock ( read result; case "$result" in
% 299.90/300.25 unsat)
% 299.90/300.25 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.90/300.25 ;;
% 299.90/300.25 sat)
% 299.90/300.25 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.90/300.25 ;;
% 299.90/300.25 esac; exit 1 )
% 299.90/300.25 d (@ tptp.cNAT Xn) (@ Xn Xp))))))
% 299.90/300.25 (assert (not (=> (and (@ tptp.cFINITE tptp.cC) (forall ((Xx $$unsorted)) (=> (@ tptp.cB Xx) (@ tptp.cC Xx)))) (@ tptp.cFINITE tptp.cB))))
% 299.90/300.25 (set-info :filename cvc5---1.0.5_5633)
% 299.90/300.25 (check-sat-assuming ( true ))
% 299.90/300.25 ------- get file name : TPTP file name is SEV297^5
% 299.90/300.25 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5633.smt2...
% 299.90/300.25 --- Run --ho-elim --full-saturate-quant at 10...
% 299.90/300.25 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.90/300.25 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.90/300.25 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.90/300.25 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.90/300.25 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.90/300.25 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.90/300.25 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.90/300.25 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.90/300.25 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.90/300.26 % cvc5---1.0.5 exiting
% 299.90/300.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------