TSTP Solution File: NUM826^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM826^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 10:48:18 EDT 2023
% Result : Timeout 299.85s 300.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM826^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Aug 25 12:22:42 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.38 %----Proving TH0
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 % File : NUM826^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.39 % Domain : Number Theory (Induction on naturals)
% 0.13/0.39 % Problem : TPS problem from IND-THMS
% 0.13/0.39 % Version : Especial.
% 0.13/0.39 % English :
% 0.13/0.39
% 0.13/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.13/0.39 % Source : [Bro09]
% 0.13/0.39 % Names : tps_1131 [Bro09]
% 0.13/0.39
% 0.13/0.39 % Status : Theorem
% 0.13/0.39 % Rating : 1.00 v8.1.0, 0.91 v7.5.0, 1.00 v5.2.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.13/0.39 % Syntax : Number of formulae : 7 ( 0 unt; 6 typ; 0 def)
% 0.13/0.39 % Number of atoms : 15 ( 3 equ; 0 cnn)
% 0.13/0.39 % Maximal formula atoms : 15 ( 15 avg)
% 0.13/0.39 % Number of connectives : 64 ( 0 ~; 0 |; 15 &; 40 @)
% 0.13/0.39 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.13/0.39 % Maximal formula depth : 19 ( 19 avg)
% 0.13/0.39 % Number of types : 2 ( 0 usr)
% 0.13/0.39 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.13/0.39 % Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% 0.13/0.39 % Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% 0.13/0.39 % SPC : TH0_THM_EQU_NAR
% 0.13/0.39
% 0.13/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.13/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.13/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.13/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.13/0.39 % :
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 thf(cG,type,
% 0.13/0.39 cG: $i > $i ).
% 0.13/0.39
% 0.13/0.39 thf(cQ,type,
% 0.13/0.39 cQ: $i > $o ).
% 0.13/0.39
% 0.13/0.39 thf(cP,type,
% 0.13/0.39 cP: $i > $o ).
% 0.13/0.39
% 0.13/0.39 thf(cF,type,
% 0.13/0.39 cF: $i > $i > $i ).
% 0.13/0.39
% 0.13/0.39 thf(cA,type,
% 0.13/0.39 cA: $i ).
% 0.13/0.39
% 0.13/0.39 thf(cB,type,
% 0.13/0.39 cB: $i ).
% 0.13/0.39
% 0.13/0.39 thf(cTHM622_pme,conjecture,
% 0.13/0.39 ( ( ( cP @ cA )
% 0.13/0.39 & ( cQ @ cB )
% 0.13/0.39 & ! [Xx: $i,Xy: $i] :
% 0.13/0.39 ( ( ( cP @ Xx )
% 0.13/0.39 & ( cQ @ Xy ) )
% 0.13/0.39 => ( cQ @ ( cF @ Xx @ Xy ) ) )
% 0.13/0.39 & ! [Xx: $i,Xy: $i] :
% 0.13/0.39 ( ( ( cQ @ Xx )
% 0.13/0.39 & ( cP @ Xy ) )
% 0.13/0.39 => ( cP @ ( cF @ Xx @ Xy ) ) )
% 0.13/0.39 & ! [Xp: $i > $o,Xq: $i > $o] :
% 0.13/0.39 ( ( ( Xp @ cA )
% 0.13/0.39 & ( Xq @ cB )
% 0.13/0.39 & ! [Xx: $i,Xy: $i] :
% 0.13/0.39 ( ( ( Xp @ Xx )
% 0.13/0.39 & ( Xq @ Xy ) )
% 0.13/0.39 => ( Xq @ ( cF @ Xx @ Xy ) ) )
% 0.13/0.39 & ! [Xx: $i,Xy: $i] :
% 0.13/0.39 ( ( ( Xq @ Xx )
% 0.13/0.39 & ( Xp @ Xy ) )
% 0.13/0.39 => ( Xp @ ( cF @ Xx @ Xy ) ) ) )
% 0.13/0.39 => ( ! [Xx: $i] :
% 0.13/0.39 ( ( cP @ Xx )
% 0.13/0.39 => ( Xp @ Xx ) )
% 0.13/0.39 & ! [Xx: $i] :
% 0.13/0.39 ( ( cQ @ Xx )
% 0.13/0.39 => ( Xq @ Xx ) ) ) )
% 0.13/0.39 & ( ( cG @ cA )
% 0.13/0.39 = cB )
% 0.13/0.39 & ( ( cG @ cB )
% 0.13/0.39 = cA )
% 0.13/0.39 & ! [Xx: $i,Xy: $i] :
% 0.13/0.39 ( ( cG @ ( cF @ Xx @ Xy ) )
% 0.13/0.39 = ( cF @ ( cG @ Xx ) @ ( cG @ Xy ) ) ) )
% 0.13/0.39 => ! [Xx: $i] :
% 0.13/0.39 ( ( cP @ Xx )
% 0.13/0.39 => ( cQ @ ( cG @ Xx ) ) ) ) ).
% 0.13/0.39
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JIN25X1v8m/cvc5---1.0.5_3684.p...
% 0.13/0.39 (declare-sort $$unsorted 0)
% 0.13/0.39 (declare-fun tptp.cG ($$unsorted) $$unsorted)
% 0.13/0.39 (declare-fun tptp.cQ ($$unsorted) Bool)
% 0.13/0.39 (declare-fun tptp.cP ($$unsorted) Bool)
% 0.13/0.39 (declare-fun tptp.cF ($$unsorted $$unsorted) $$unsorted)
% 0.13/0.39 (declare-fun tptp.cA () $$unsorted)
% 0.13/0.39 (declare-fun tptp.cB () $$unsorted)
% 0.13/0.39 (assert (not (=> (and (@ tptp.cP tptp.cA) (@ tptp.cQ tptp.cB) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (and (@ tptp.cP Xx) (@ tptp.cQ Xy)) (@ tptp.cQ (@ (@ tptp.cF Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (and (@ tptp.cQ Xx) (@ tptp.cP Xy)) (@ tptp.cP (@ (@ tptp.cF Xx) Xy)))) (forall ((Xp (-> $$unsorted Bool)) (Xq (-> $$unsorted Bool))) (=> (and (@ Xp tptp.cA) (@ Xq tptp.cB) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (and (@ Xp Xx) (@ Xq Xy)) (@ Xq (@ (@ tptp.cF Xx) Xy)))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (and (@ Xq Xx) (@ Xp Xy)) (@ Xp (@ (@ tptp.cF Xx) Xy))))) (and (forall ((Xx $$unsorted)) (=> (@ tptp.cP Xx) (@ Xp Xx))) (forall ((Xx $$unsorted)) (=> (@ tptp.cQ Xx) (@ X/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 5386 Alarm clock ( read result; case "$result" in
% 299.85/300.26 unsat)
% 299.85/300.26 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.85/300.26 ;;
% 299.85/300.26 sat)
% 299.85/300.26 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.85/300.26 ;;
% 299.85/300.26 esac; exit 1 )
% 299.85/300.27 Alarm clock
% 299.85/300.27 % cvc5---1.0.5 exiting
% 299.85/300.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------